diff --git "a/trees/auto_problem_098_tree.json" "b/trees/auto_problem_098_tree.json" new file mode 100644--- /dev/null +++ "b/trees/auto_problem_098_tree.json" @@ -0,0 +1,114058 @@ +{ + "problem_id": "auto_problem_098", + "problem_text": "PROBLEM: Truss optimization problem (ground structure variant 98)\n\nINITIAL STRUCTURE:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nLOADING:\n Joint J3: Force=(0, -31095, 0) N\n Joint J4: Force=(0, -70327, 0) N\n Joint J5: Force=(0, -78734, 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: 322.55 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": 3487, + "max_depth": 8, + "nodes": { + "node_0": { + "node_id": "node_0", + "content": "INITIAL DESIGN (Trace 0)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\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_1": { + "node_id": "node_1", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n\nPerformance:\n Mass: 227.18 kg\n Factor of Safety: 0.95\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.18426152383867, + "fos_buckling": 0.9537839686395382, + "fos_yielding": 1.9827457451845316, + "deflection": 0.005587693649948551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004158)" + }, + "parent_node_id": "node_0", + "improvement_over_parent": null + }, + "node_2": { + "node_id": "node_2", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 254.02 kg\n Factor of Safety: 1.35\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": 254.0210786175811, + "fos_buckling": 1.3540803821691687, + "fos_yielding": 1.7449454647187121, + "deflection": 0.004653713125326501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004465)" + }, + "parent_node_id": "node_1", + "improvement_over_parent": null + }, + "node_3": { + "node_id": "node_3", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.33 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3284691669012, + "fos_buckling": 1.5233102835833792, + "fos_yielding": 2.013174897803476, + "deflection": 0.004039288820415917, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2", + "improvement_over_parent": null + }, + "node_4": { + "node_id": "node_4", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3", + "improvement_over_parent": null + }, + "node_5": { + "node_id": "node_5", + "content": "INITIAL DESIGN (Trace 1)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 147.94 kg\n Factor of Safety: 0.71\n Max Deflection: 9.87e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.93615705487102, + "fos_buckling": 0.7110094167531389, + "fos_yielding": 1.5117647627809734, + "deflection": 0.009867552714077146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_6": { + "node_id": "node_6", + "content": "MODIFICATION: Increase 1 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 151.63 kg\n Factor of Safety: 0.71\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.62860291394006, + "fos_buckling": 0.7108281802151744, + "fos_yielding": 1.5117647627809734, + "deflection": 0.009307128315250102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.245)" + }, + "parent_node_id": "node_5", + "improvement_over_parent": null + }, + "node_7": { + "node_id": "node_7", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 184.01 kg\n Factor of Safety: 0.84\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.01401405702296, + "fos_buckling": 0.8399556673354486, + "fos_yielding": 1.833466173505996, + "deflection": 0.007685991575383891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_6", + "improvement_over_parent": null + }, + "node_8": { + "node_id": "node_8", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 204.74 kg\n Factor of Safety: 0.89\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.74367847635634, + "fos_buckling": 0.8933816323262977, + "fos_yielding": 1.833466173505996, + "deflection": 0.006364955145761371, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003935)" + }, + "parent_node_id": "node_7", + "improvement_over_parent": null + }, + "node_9": { + "node_id": "node_9", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 229.54 kg\n Factor of Safety: 1.20\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": 229.54120310165032, + "fos_buckling": 1.203312016069161, + "fos_yielding": 1.6055579501037396, + "deflection": 0.005230193614160632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004100)" + }, + "parent_node_id": "node_8", + "improvement_over_parent": null + }, + "node_10": { + "node_id": "node_10", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 286.94 kg\n Factor of Safety: 1.47\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.9437722650736, + "fos_buckling": 1.4712094133622704, + "fos_yielding": 2.0037813824318293, + "deflection": 0.004195842880562714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_9", + "improvement_over_parent": null + }, + "node_11": { + "node_id": "node_11", + "content": "MODIFICATION: Increase 5 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0059)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 289.56 kg\n Factor of Safety: 1.44\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.5569206260054, + "fos_buckling": 1.440707575846449, + "fos_yielding": 2.514149790881718, + "deflection": 0.00415391430445086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.297)" + }, + "parent_node_id": "node_10", + "improvement_over_parent": null + }, + "node_12": { + "node_id": "node_12", + "content": "MODIFICATION: Increase 1 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0059)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 294.91 kg\n Factor of Safety: 1.49\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": 294.91365637464105, + "fos_buckling": 1.4876451320696265, + "fos_yielding": 2.5351649147959217, + "deflection": 0.004047760955739501, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.198)" + }, + "parent_node_id": "node_11", + "improvement_over_parent": null + }, + "node_13": { + "node_id": "node_13", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_12", + "improvement_over_parent": null + }, + "node_14": { + "node_id": "node_14", + "content": "INITIAL DESIGN (Trace 2)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 165.84 kg\n Factor of Safety: 0.65\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.8447346353146, + "fos_buckling": 0.6452210137842749, + "fos_yielding": 1.3266464704842336, + "deflection": 0.010168948935978304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_15": { + "node_id": "node_15", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n\nPerformance:\n Mass: 168.85 kg\n Factor of Safety: 0.95\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": 168.84791761480585, + "fos_buckling": 0.9506917929966241, + "fos_yielding": 1.1620718372227479, + "deflection": 0.0069665916584650475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001830)" + }, + "parent_node_id": "node_14", + "improvement_over_parent": null + }, + "node_16": { + "node_id": "node_16", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n\nPerformance:\n Mass: 210.70 kg\n Factor of Safety: 1.16\n Max Deflection: 5.60e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.6999510372277, + "fos_buckling": 1.1552202530211315, + "fos_yielding": 1.448743140113178, + "deflection": 0.005596424120992973, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_15", + "improvement_over_parent": null + }, + "node_17": { + "node_id": "node_17", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 254.32 kg\n Factor of Safety: 1.36\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": 254.32112728134754, + "fos_buckling": 1.3554270685664496, + "fos_yielding": 1.7469567719772863, + "deflection": 0.0046482944401701615, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_16", + "improvement_over_parent": null + }, + "node_18": { + "node_id": "node_18", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2132188183785, + "fos_buckling": 1.5228462873058066, + "fos_yielding": 2.012346207157759, + "deflection": 0.004040841628752694, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_17", + "improvement_over_parent": null + }, + "node_19": { + "node_id": "node_19", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_18", + "improvement_over_parent": null + }, + "node_20": { + "node_id": "node_20", + "content": "INITIAL DESIGN (Trace 3)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 133.13 kg\n Factor of Safety: 0.55\n Max Deflection: 9.97e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.12959049615145, + "fos_buckling": 0.5515465977747859, + "fos_yielding": 0.9984062940993049, + "deflection": 0.009974530926466496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_21": { + "node_id": "node_21", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 159.44 kg\n Factor of Safety: 0.65\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": 159.4408821875955, + "fos_buckling": 0.6486743503057936, + "fos_yielding": 1.1949657926818853, + "deflection": 0.008342095785679725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_20", + "improvement_over_parent": null + }, + "node_22": { + "node_id": "node_22", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n\nPerformance:\n Mass: 174.89 kg\n Factor of Safety: 0.98\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": 174.88734450586256, + "fos_buckling": 0.9809554993506316, + "fos_yielding": 1.20348237939131, + "deflection": 0.0067284271357179164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002878)" + }, + "parent_node_id": "node_21", + "improvement_over_parent": null + }, + "node_23": { + "node_id": "node_23", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n\nPerformance:\n Mass: 223.44 kg\n Factor of Safety: 1.22\n Max Deflection: 5.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.44331473195223, + "fos_buckling": 1.2150646396984655, + "fos_yielding": 1.535934651359285, + "deflection": 0.005281198034225793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_22", + "improvement_over_parent": null + }, + "node_24": { + "node_id": "node_24", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 261.13 kg\n Factor of Safety: 1.39\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": 261.1326946830545, + "fos_buckling": 1.3854925872779638, + "fos_yielding": 1.7934840761772468, + "deflection": 0.004528863882950286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_23", + "improvement_over_parent": null + }, + "node_25": { + "node_id": "node_25", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.98 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.98032903055605, + "fos_buckling": 1.5218650529005062, + "fos_yielding": 2.0107732195009755, + "deflection": 0.004044024527247199, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_24", + "improvement_over_parent": null + }, + "node_26": { + "node_id": "node_26", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_25", + "improvement_over_parent": null + }, + "node_27": { + "node_id": "node_27", + "content": "INITIAL DESIGN (Trace 4)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 159.05 kg\n Factor of Safety: 0.66\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": 159.04750590969334, + "fos_buckling": 0.6629023641545083, + "fos_yielding": 1.2241333867470816, + "deflection": 0.008143743830292916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_28": { + "node_id": "node_28", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 186.08 kg\n Factor of Safety: 0.76\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": 186.08031262483092, + "fos_buckling": 0.7606478492542892, + "fos_yielding": 1.4312578552810444, + "deflection": 0.0069723863270606075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_27", + "improvement_over_parent": null + }, + "node_29": { + "node_id": "node_29", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 225.98 kg\n Factor of Safety: 0.90\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": 225.97832481391848, + "fos_buckling": 0.8971051874208787, + "fos_yielding": 1.7364600548212772, + "deflection": 0.005755613054427743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_28", + "improvement_over_parent": null + }, + "node_30": { + "node_id": "node_30", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 254.53 kg\n Factor of Safety: 1.36\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.5268804277216, + "fos_buckling": 1.3564289699434142, + "fos_yielding": 1.7485101224990616, + "deflection": 0.0046444740066730016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004609)" + }, + "parent_node_id": "node_29", + "improvement_over_parent": null + }, + "node_31": { + "node_id": "node_31", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.45 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.44682782407796, + "fos_buckling": 1.5239152088718309, + "fos_yielding": 2.0141067541916398, + "deflection": 0.004037578196358281, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_30", + "improvement_over_parent": null + }, + "node_32": { + "node_id": "node_32", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 5)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\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_34": { + "node_id": "node_34", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 208.14 kg\n Factor of Safety: 0.92\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": 208.14485659372787, + "fos_buckling": 0.9213637796212971, + "fos_yielding": 1.9010813447727228, + "deflection": 0.005990211349745901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003973)" + }, + "parent_node_id": "node_33", + "improvement_over_parent": null + }, + "node_35": { + "node_id": "node_35", + "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 227.45 kg\n Factor of Safety: 1.25\n Max Deflection: 5.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.4531221448713, + "fos_buckling": 1.2524945317651204, + "fos_yielding": 1.9010813447727228, + "deflection": 0.005353215393602157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.590)" + }, + "parent_node_id": "node_34", + "improvement_over_parent": null + }, + "node_36": { + "node_id": "node_36", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 253.19 kg\n Factor of Safety: 1.23\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": 253.1871074430914, + "fos_buckling": 1.2299505002435485, + "fos_yielding": 1.7072130736850697, + "deflection": 0.004696714987841719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004267)" + }, + "parent_node_id": "node_35", + "improvement_over_parent": null + }, + "node_37": { + "node_id": "node_37", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0100)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 304.22 kg\n Factor of Safety: 1.43\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": 304.2201880338827, + "fos_buckling": 1.4338218775021503, + "fos_yielding": 2.052221833377374, + "deflection": 0.003916688644574444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_36", + "improvement_over_parent": null + }, + "node_38": { + "node_id": "node_38", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_37", + "improvement_over_parent": null + }, + "node_39": { + "node_id": "node_39", + "content": "INITIAL DESIGN (Trace 6)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 168.43 kg\n Factor of Safety: 0.70\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.43254752145194, + "fos_buckling": 0.70140778482368, + "fos_yielding": 1.2881987672797932, + "deflection": 0.007879856925506707, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_40": { + "node_id": "node_40", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n\nPerformance:\n Mass: 185.30 kg\n Factor of Safety: 0.91\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": 185.29892301395466, + "fos_buckling": 0.9147724602270774, + "fos_yielding": 1.2967496070096898, + "deflection": 0.006415967697719835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003158)" + }, + "parent_node_id": "node_39", + "improvement_over_parent": null + }, + "node_41": { + "node_id": "node_41", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n\nPerformance:\n Mass: 221.84 kg\n Factor of Safety: 1.08\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": 221.84365198768947, + "fos_buckling": 1.075628322039926, + "fos_yielding": 1.5509233761449877, + "deflection": 0.005369551505078007, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_40", + "improvement_over_parent": null + }, + "node_42": { + "node_id": "node_42", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 284.86 kg\n Factor of Safety: 1.34\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": 284.86208070868554, + "fos_buckling": 1.3378907121602, + "fos_yielding": 1.987980283063985, + "deflection": 0.004195704883805421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_41", + "improvement_over_parent": null + }, + "node_43": { + "node_id": "node_43", + "content": "MODIFICATION: Increase 10 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0063)]\n\nPerformance:\n Mass: 290.74 kg\n Factor of Safety: 1.34\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": 290.7363929039476, + "fos_buckling": 1.3358002571235539, + "fos_yielding": 1.9884886879858157, + "deflection": 0.004152741893765442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.256)" + }, + "parent_node_id": "node_42", + "improvement_over_parent": null + }, + "node_44": { + "node_id": "node_44", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_43", + "improvement_over_parent": null + }, + "node_45": { + "node_id": "node_45", + "content": "INITIAL DESIGN (Trace 7)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 135.97 kg\n Factor of Safety: 0.61\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.97404500427191, + "fos_buckling": 0.6106126818776206, + "fos_yielding": 1.1362912302492372, + "deflection": 0.010503575201087122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_46": { + "node_id": "node_46", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 157.65 kg\n Factor of Safety: 0.70\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": 157.65494478638664, + "fos_buckling": 0.6961682974563317, + "fos_yielding": 1.3160100278519273, + "deflection": 0.009064926077409528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_45", + "improvement_over_parent": null + }, + "node_47": { + "node_id": "node_47", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 162.09 kg\n Factor of Safety: 0.70\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.08618226078073, + "fos_buckling": 0.6959555059692025, + "fos_yielding": 1.3159427840497109, + "deflection": 0.00828319681516205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.326)" + }, + "parent_node_id": "node_46", + "improvement_over_parent": null + }, + "node_48": { + "node_id": "node_48", + "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 169.25 kg\n Factor of Safety: 0.70\n Max Deflection: 8.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.24936579445034, + "fos_buckling": 0.6956117992666092, + "fos_yielding": 1.2925079430004112, + "deflection": 0.00808953902480619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.590)" + }, + "parent_node_id": "node_47", + "improvement_over_parent": null + }, + "node_49": { + "node_id": "node_49", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n\nPerformance:\n Mass: 185.96 kg\n Factor of Safety: 1.05\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": 185.9592600286827, + "fos_buckling": 1.050321963798709, + "fos_yielding": 1.3022721660105494, + "deflection": 0.006373324793803871, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003127)" + }, + "parent_node_id": "node_48", + "improvement_over_parent": null + }, + "node_50": { + "node_id": "node_50", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n\nPerformance:\n Mass: 224.18 kg\n Factor of Safety: 1.23\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": 224.17747835370056, + "fos_buckling": 1.2348457297794981, + "fos_yielding": 1.5682299464888436, + "deflection": 0.005298020863807063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_49", + "improvement_over_parent": null + }, + "node_51": { + "node_id": "node_51", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 288.41 kg\n Factor of Safety: 1.52\n Max Deflection: 4.13e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 288.40794980695455, + "fos_buckling": 1.5213214036875917, + "fos_yielding": 2.0138715070049806, + "deflection": 0.004132739220456821, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_50", + "improvement_over_parent": null + }, + "node_52": { + "node_id": "node_52", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.308777757475, + "fos_buckling": 1.5232042789136881, + "fos_yielding": 2.0129016831337454, + "deflection": 0.004039537848667368, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.185)" + }, + "parent_node_id": "node_51", + "improvement_over_parent": null + }, + "node_53": { + "node_id": "node_53", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_52", + "improvement_over_parent": null + }, + "node_54": { + "node_id": "node_54", + "content": "INITIAL DESIGN (Trace 8)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 203.29 kg\n Factor of Safety: 0.93\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": 203.29343134781004, + "fos_buckling": 0.9340996876557756, + "fos_yielding": 1.4496776869844707, + "deflection": 0.005979199960204252, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_55": { + "node_id": "node_55", + "content": "MODIFICATION: Increase 4 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 204.76 kg\n Factor of Safety: 0.93\n Max Deflection: 5.91e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.76486520602919, + "fos_buckling": 0.93248298778151, + "fos_yielding": 1.450323807791588, + "deflection": 0.005907491319451892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.425)" + }, + "parent_node_id": "node_54", + "improvement_over_parent": null + }, + "node_56": { + "node_id": "node_56", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 205.48 kg\n Factor of Safety: 0.94\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.47562012257407, + "fos_buckling": 0.9425819442003874, + "fos_yielding": 1.4462781154439581, + "deflection": 0.005841969158200312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.244)" + }, + "parent_node_id": "node_55", + "improvement_over_parent": null + }, + "node_57": { + "node_id": "node_57", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 243.56 kg\n Factor of Safety: 1.10\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": 243.56239941312924, + "fos_buckling": 1.0991624468589436, + "fos_yielding": 1.7124859096275935, + "deflection": 0.004937684335421102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_56", + "improvement_over_parent": null + }, + "node_58": { + "node_id": "node_58", + "content": "MODIFICATION: Increase 10 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 254.38 kg\n Factor of Safety: 1.36\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": 254.38373406474736, + "fos_buckling": 1.3557958253909395, + "fos_yielding": 1.7473485025767292, + "deflection": 0.004647153753143272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.420)" + }, + "parent_node_id": "node_57", + "improvement_over_parent": null + }, + "node_59": { + "node_id": "node_59", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.06 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0560103469689, + "fos_buckling": 1.5222855713109151, + "fos_yielding": 2.0112338325323047, + "deflection": 0.004042960710895018, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_58", + "improvement_over_parent": null + }, + "node_60": { + "node_id": "node_60", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_59", + "improvement_over_parent": null + }, + "node_61": { + "node_id": "node_61", + "content": "INITIAL DESIGN (Trace 9)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 223.41 kg\n Factor of Safety: 0.89\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": 223.40775054292453, + "fos_buckling": 0.8899758922544191, + "fos_yielding": 1.7225113846852336, + "deflection": 0.00619894696406142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_62": { + "node_id": "node_62", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 224.33 kg\n Factor of Safety: 0.89\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": 224.32808934651882, + "fos_buckling": 0.8898633577363068, + "fos_yielding": 1.719684293333938, + "deflection": 0.00618581707185972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.279)" + }, + "parent_node_id": "node_61", + "improvement_over_parent": null + }, + "node_63": { + "node_id": "node_63", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n\nPerformance:\n Mass: 241.90 kg\n Factor of Safety: 1.22\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": 241.9039293092823, + "fos_buckling": 1.2186343055363908, + "fos_yielding": 1.732144646058062, + "deflection": 0.004913040341548743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003299)" + }, + "parent_node_id": "node_62", + "improvement_over_parent": null + }, + "node_64": { + "node_id": "node_64", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 281.47 kg\n Factor of Safety: 1.39\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.47032730845035, + "fos_buckling": 1.390513422499089, + "fos_yielding": 2.0125683755832413, + "deflection": 0.004231345478508354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_63", + "improvement_over_parent": null + }, + "node_65": { + "node_id": "node_65", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 287.82 kg\n Factor of Safety: 1.48\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": 287.81684465157053, + "fos_buckling": 1.4809210493610168, + "fos_yielding": 2.011301682566931, + "deflection": 0.004096936702625109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.252)" + }, + "parent_node_id": "node_64", + "improvement_over_parent": null + }, + "node_66": { + "node_id": "node_66", + "content": "MODIFICATION: Increase 2 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0063)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 294.04 kg\n Factor of Safety: 1.48\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": 294.03667343265585, + "fos_buckling": 1.478537164105602, + "fos_yielding": 1.9976967186367702, + "deflection": 0.004054130066724509, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.289)" + }, + "parent_node_id": "node_65", + "improvement_over_parent": null + }, + "node_67": { + "node_id": "node_67", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, 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_69": { + "node_id": "node_69", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 151.25 kg\n Factor of Safety: 0.71\n Max Deflection: 6.65e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.2541339016036, + "fos_buckling": 0.7097175341733507, + "fos_yielding": 1.4945842469434918, + "deflection": 665158147348.3713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003314)" + }, + "parent_node_id": "node_68", + "improvement_over_parent": null + }, + "node_70": { + "node_id": "node_70", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 167.24 kg\n Factor of Safety: 0.71\n Max Deflection: 8.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.24025282115076, + "fos_buckling": 0.7057249423449713, + "fos_yielding": 1.4931062724926336, + "deflection": 0.00894252999068727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003086)" + }, + "parent_node_id": "node_69", + "improvement_over_parent": null + }, + "node_71": { + "node_id": "node_71", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 216.21 kg\n Factor of Safety: 0.88\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.20555424381678, + "fos_buckling": 0.8798456548360469, + "fos_yielding": 1.9264824860165355, + "deflection": 0.006930105110189704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_70", + "improvement_over_parent": null + }, + "node_72": { + "node_id": "node_72", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 220.62 kg\n Factor of Safety: 0.88\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": 220.62364302298596, + "fos_buckling": 0.8793114509246704, + "fos_yielding": 1.695477890103305, + "deflection": 0.005893424594330066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002760)" + }, + "parent_node_id": "node_71", + "improvement_over_parent": null + }, + "node_73": { + "node_id": "node_73", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 248.50 kg\n Factor of Safety: 1.33\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": 248.50176211779817, + "fos_buckling": 1.329537960785395, + "fos_yielding": 1.707258226910486, + "deflection": 0.004755552253806458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004492)" + }, + "parent_node_id": "node_72", + "improvement_over_parent": null + }, + "node_74": { + "node_id": "node_74", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2970612509265, + "fos_buckling": 1.5232600447013116, + "fos_yielding": 2.0129766609264403, + "deflection": 0.004039715951307516, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_73", + "improvement_over_parent": null + }, + "node_75": { + "node_id": "node_75", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_74", + "improvement_over_parent": null + }, + "node_76": { + "node_id": "node_76", + "content": "INITIAL DESIGN (Trace 11)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 122.89 kg\n Factor of Safety: 0.56\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.89478506274456, + "fos_buckling": 0.561065328142309, + "fos_yielding": 1.1531786030525737, + "deflection": 0.013178304976805109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_77": { + "node_id": "node_77", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n\nPerformance:\n Mass: 125.52 kg\n Factor of Safety: 0.59\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.52065497242853, + "fos_buckling": 0.5936832192934945, + "fos_yielding": 1.1531786030525737, + "deflection": 0.011106077810927874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001590)" + }, + "parent_node_id": "node_76", + "improvement_over_parent": null + }, + "node_78": { + "node_id": "node_78", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n\nPerformance:\n Mass: 141.12 kg\n Factor of Safety: 0.80\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.11964824275304, + "fos_buckling": 0.7971929601502072, + "fos_yielding": 0.9909362097814262, + "deflection": 0.00859409448095861, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002511)" + }, + "parent_node_id": "node_77", + "improvement_over_parent": null + }, + "node_79": { + "node_id": "node_79", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 181.49 kg\n Factor of Safety: 1.00\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.49286965518297, + "fos_buckling": 0.9993619526987536, + "fos_yielding": 1.273099501897836, + "deflection": 0.0066946887657739935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_78", + "improvement_over_parent": null + }, + "node_80": { + "node_id": "node_80", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 233.99 kg\n Factor of Safety: 1.25\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": 233.99106642191762, + "fos_buckling": 1.2453703506387812, + "fos_yielding": 1.6391052740828183, + "deflection": 0.005204947335608282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_79", + "improvement_over_parent": null + }, + "node_81": { + "node_id": "node_81", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 281.00 kg\n Factor of Safety: 1.45\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.0044108596053, + "fos_buckling": 1.4496940394799827, + "fos_yielding": 1.9660033581001162, + "deflection": 0.004343127783710312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_80", + "improvement_over_parent": null + }, + "node_82": { + "node_id": "node_82", + "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.56 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5588967322291, + "fos_buckling": 1.524096081167371, + "fos_yielding": 2.0146049319690515, + "deflection": 0.004036116466028478, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.610)" + }, + "parent_node_id": "node_81", + "improvement_over_parent": null + }, + "node_83": { + "node_id": "node_83", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_82", + "improvement_over_parent": null + }, + "node_84": { + "node_id": "node_84", + "content": "INITIAL DESIGN (Trace 12)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 224.03 kg\n Factor of Safety: 1.22\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.0341957314371, + "fos_buckling": 1.2186168690013242, + "fos_yielding": 1.6626551890955084, + "deflection": 0.005264228174600299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_85": { + "node_id": "node_85", + "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 232.14 kg\n Factor of Safety: 1.28\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.14137617570194, + "fos_buckling": 1.2801210458406846, + "fos_yielding": 1.6379522955466195, + "deflection": 0.0051455983938207325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.511)" + }, + "parent_node_id": "node_84", + "improvement_over_parent": null + }, + "node_86": { + "node_id": "node_86", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 285.75 kg\n Factor of Safety: 1.52\n Max Deflection: 4.19e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 285.7523221148142, + "fos_buckling": 1.519119476585637, + "fos_yielding": 2.012900559315863, + "deflection": 0.004192037162754275, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_85", + "improvement_over_parent": null + }, + "node_87": { + "node_id": "node_87", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.04 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0386530047273, + "fos_buckling": 1.5221582177011486, + "fos_yielding": 2.0113686828202595, + "deflection": 0.004043237710381222, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.300)" + }, + "parent_node_id": "node_86", + "improvement_over_parent": null + }, + "node_88": { + "node_id": "node_88", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_87", + "improvement_over_parent": null + }, + "node_89": { + "node_id": "node_89", + "content": "INITIAL DESIGN (Trace 13)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 151.45 kg\n Factor of Safety: 0.66\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.451279226155, + "fos_buckling": 0.6607236795893737, + "fos_yielding": 1.0530975599631922, + "deflection": 0.008491617627924348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_90": { + "node_id": "node_90", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n\nPerformance:\n Mass: 165.28 kg\n Factor of Safety: 0.83\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": 165.28213764744174, + "fos_buckling": 0.8345119356283633, + "fos_yielding": 0.9343569372871473, + "deflection": 0.007149435185004823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002649)" + }, + "parent_node_id": "node_89", + "improvement_over_parent": null + }, + "node_91": { + "node_id": "node_91", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 189.04 kg\n Factor of Safety: 0.94\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.03645138388742, + "fos_buckling": 0.9447757808168176, + "fos_yielding": 1.06956396746078, + "deflection": 0.00625940845619006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_90", + "improvement_over_parent": null + }, + "node_92": { + "node_id": "node_92", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n\nPerformance:\n Mass: 234.09 kg\n Factor of Safety: 1.15\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.09470576455828, + "fos_buckling": 1.1472041412830059, + "fos_yielding": 1.3268205482179727, + "deflection": 0.005067410337175561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_91", + "improvement_over_parent": null + }, + "node_93": { + "node_id": "node_93", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 291.06 kg\n Factor of Safety: 1.39\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.0626632114739, + "fos_buckling": 1.3904728381009086, + "fos_yielding": 1.6537493413798174, + "deflection": 0.00408858853122434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_92", + "improvement_over_parent": null + }, + "node_94": { + "node_id": "node_94", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0077)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 300.44 kg\n Factor of Safety: 1.39\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": 300.4385639545067, + "fos_buckling": 1.3895774249412467, + "fos_yielding": 1.65268438787445, + "deflection": 0.003966808734515686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.245)" + }, + "parent_node_id": "node_93", + "improvement_over_parent": null + }, + "node_95": { + "node_id": "node_95", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 205.15 kg\n Factor of Safety: 0.48\n Max Deflection: 8.97e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.14519841817608, + "fos_buckling": 0.4794080026584339, + "fos_yielding": 1.417506173529555, + "deflection": 0.008972218313064604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_97": { + "node_id": "node_97", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 245.28 kg\n Factor of Safety: 0.94\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": 245.28040513213722, + "fos_buckling": 0.9369857277589196, + "fos_yielding": 1.8175192116269014, + "deflection": 0.005050116981470743, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005585)" + }, + "parent_node_id": "node_96", + "improvement_over_parent": null + }, + "node_98": { + "node_id": "node_98", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 255.55 kg\n Factor of Safety: 1.20\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": 255.55006726672417, + "fos_buckling": 1.201934454153588, + "fos_yielding": 1.8145572351788801, + "deflection": 0.0046724307491261986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.541)" + }, + "parent_node_id": "node_97", + "improvement_over_parent": null + }, + "node_99": { + "node_id": "node_99", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.77 kg\n Factor of Safety: 1.32\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": 283.77106729366983, + "fos_buckling": 1.3162798262200217, + "fos_yielding": 2.013048537413046, + "deflection": 0.004214011617190023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_98", + "improvement_over_parent": null + }, + "node_100": { + "node_id": "node_100", + "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0925806279292, + "fos_buckling": 1.5221785718016676, + "fos_yielding": 2.0113058849777, + "deflection": 0.004042447112100391, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.302)" + }, + "parent_node_id": "node_99", + "improvement_over_parent": null + }, + "node_101": { + "node_id": "node_101", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_100", + "improvement_over_parent": null + }, + "node_102": { + "node_id": "node_102", + "content": "INITIAL DESIGN (Trace 15)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0005)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0019)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0016)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0019)]\n\nPerformance:\n Mass: 93.77 kg\n Factor of Safety: 0.40\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 93.77132739703598, + "fos_buckling": 0.4000655737340699, + "fos_yielding": 0.6578647219686984, + "deflection": 0.01282627804030336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_103": { + "node_id": "node_103", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0007)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 117.63 kg\n Factor of Safety: 0.50\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 117.62960997363012, + "fos_buckling": 0.49973059303008915, + "fos_yielding": 0.824715418471461, + "deflection": 0.010236376308418489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_102", + "improvement_over_parent": null + }, + "node_104": { + "node_id": "node_104", + "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 117.99 kg\n Factor of Safety: 0.62\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": 117.98669149880735, + "fos_buckling": 0.6193035949579243, + "fos_yielding": 0.8207679051062697, + "deflection": 0.010061916987659144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.312)" + }, + "parent_node_id": "node_103", + "improvement_over_parent": null + }, + "node_105": { + "node_id": "node_105", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 149.30 kg\n Factor of Safety: 0.78\n Max Deflection: 7.96e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.2986472245325, + "fos_buckling": 0.7759965722534998, + "fos_yielding": 1.0377660457798266, + "deflection": 0.007964854417424588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_104", + "improvement_over_parent": null + }, + "node_106": { + "node_id": "node_106", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 150.03 kg\n Factor of Safety: 0.85\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.0289389915896, + "fos_buckling": 0.8547446712060867, + "fos_yielding": 1.0329731795173136, + "deflection": 0.007831707417166135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.393)" + }, + "parent_node_id": "node_105", + "improvement_over_parent": null + }, + "node_107": { + "node_id": "node_107", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 195.07 kg\n Factor of Safety: 1.08\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.06726901326277, + "fos_buckling": 1.0802731325009667, + "fos_yielding": 1.3417043247573288, + "deflection": 0.006039319658346207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_106", + "improvement_over_parent": null + }, + "node_108": { + "node_id": "node_108", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 234.65 kg\n Factor of Safety: 1.27\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": 234.65262467932806, + "fos_buckling": 1.26680916412431, + "fos_yielding": 1.612538469721764, + "deflection": 0.00503207764677902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_107", + "improvement_over_parent": null + }, + "node_109": { + "node_id": "node_109", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21478592728556, + "fos_buckling": 1.5228786384655686, + "fos_yielding": 2.012322364750001, + "deflection": 0.004040755374483925, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_108", + "improvement_over_parent": null + }, + "node_110": { + "node_id": "node_110", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_109", + "improvement_over_parent": null + }, + "node_111": { + "node_id": "node_111", + "content": "INITIAL DESIGN (Trace 16)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n\nPerformance:\n Mass: 108.82 kg\n Factor of Safety: 0.84\n Max Deflection: 1.35e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.82443223701566, + "fos_buckling": 0.8375850828061925, + "fos_yielding": 1.3657049744754917, + "deflection": 13492784995774.537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_112": { + "node_id": "node_112", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 135.41 kg\n Factor of Safety: 0.65\n Max Deflection: 9.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.41179823437824, + "fos_buckling": 0.649630493124381, + "fos_yielding": 1.3657049744754917, + "deflection": 0.009864572361188446, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003597)" + }, + "parent_node_id": "node_111", + "improvement_over_parent": null + }, + "node_113": { + "node_id": "node_113", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n\nPerformance:\n Mass: 155.04 kg\n Factor of Safety: 0.69\n Max Deflection: 8.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.03622446136504, + "fos_buckling": 0.6910220074496468, + "fos_yielding": 1.1949600107994933, + "deflection": 0.008196856768614204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003090)" + }, + "parent_node_id": "node_112", + "improvement_over_parent": null + }, + "node_114": { + "node_id": "node_114", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n\nPerformance:\n Mass: 180.14 kg\n Factor of Safety: 0.79\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.14198807211835, + "fos_buckling": 0.7885334333188151, + "fos_yielding": 1.3905862489555894, + "deflection": 0.007065256009904234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_113", + "improvement_over_parent": null + }, + "node_115": { + "node_id": "node_115", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 209.98 kg\n Factor of Safety: 0.90\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.97770255866223, + "fos_buckling": 0.8992758513179474, + "fos_yielding": 1.6240440080867735, + "deflection": 0.006072313243079995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_114", + "improvement_over_parent": null + }, + "node_116": { + "node_id": "node_116", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 259.93 kg\n Factor of Safety: 1.07\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": 259.92564532334285, + "fos_buckling": 1.0722634126690216, + "fos_yielding": 2.017561391352949, + "deflection": 0.004920224791827658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_115", + "improvement_over_parent": null + }, + "node_117": { + "node_id": "node_117", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 290.90 kg\n Factor of Safety: 1.24\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": 290.90419137241923, + "fos_buckling": 1.242025947672722, + "fos_yielding": 2.010653459775785, + "deflection": 0.004105084544288029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_116", + "improvement_over_parent": null + }, + "node_118": { + "node_id": "node_118", + "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.12 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1167214818651, + "fos_buckling": 1.5224741301788691, + "fos_yielding": 2.011602652706307, + "deflection": 0.0040422113897888535, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.502)" + }, + "parent_node_id": "node_117", + "improvement_over_parent": null + }, + "node_119": { + "node_id": "node_119", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_118", + "improvement_over_parent": null + }, + "node_120": { + "node_id": "node_120", + "content": "INITIAL DESIGN (Trace 17)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 163.75 kg\n Factor of Safety: 0.82\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": 163.74514533863658, + "fos_buckling": 0.8173782166829472, + "fos_yielding": 1.2504752671095116, + "deflection": 0.007136691309488537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_121": { + "node_id": "node_121", + "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 168.56 kg\n Factor of Safety: 0.82\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.55809189843959, + "fos_buckling": 0.8155646812852084, + "fos_yielding": 1.2381762145640325, + "deflection": 0.007032476746489785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.361)" + }, + "parent_node_id": "node_120", + "improvement_over_parent": null + }, + "node_122": { + "node_id": "node_122", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 214.35 kg\n Factor of Safety: 1.02\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": 214.35430362591103, + "fos_buckling": 1.0157934479993482, + "fos_yielding": 1.571670521035837, + "deflection": 0.0055435391661023785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_121", + "improvement_over_parent": null + }, + "node_123": { + "node_id": "node_123", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 277.34 kg\n Factor of Safety: 1.28\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": 277.3417520665293, + "fos_buckling": 1.276252578439046, + "fos_yielding": 2.028155029847073, + "deflection": 0.004298845157848188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_122", + "improvement_over_parent": null + }, + "node_124": { + "node_id": "node_124", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.43 kg\n Factor of Safety: 1.49\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.43154796589715, + "fos_buckling": 1.4871972512095304, + "fos_yielding": 2.0261018099939996, + "deflection": 0.004087126127328113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.379)" + }, + "parent_node_id": "node_123", + "improvement_over_parent": null + }, + "node_125": { + "node_id": "node_125", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.15780338643197, + "fos_buckling": 1.5225619849069745, + "fos_yielding": 2.011784283029331, + "deflection": 0.00404164002661972, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.264)" + }, + "parent_node_id": "node_124", + "improvement_over_parent": null + }, + "node_126": { + "node_id": "node_126", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_125", + "improvement_over_parent": null + }, + "node_127": { + "node_id": "node_127", + "content": "INITIAL DESIGN (Trace 18)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 219.43 kg\n Factor of Safety: 0.77\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.42793524680255, + "fos_buckling": 0.7663563008311606, + "fos_yielding": 1.9744564264096676, + "deflection": 0.007189550573022147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_128": { + "node_id": "node_128", + "content": "MODIFICATION: Increase 5 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 226.03 kg\n Factor of Safety: 0.91\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.03234631562214, + "fos_buckling": 0.9066601736474879, + "fos_yielding": 1.9744564264096671, + "deflection": 0.006796448064661958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.233)" + }, + "parent_node_id": "node_127", + "improvement_over_parent": null + }, + "node_129": { + "node_id": "node_129", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n\nPerformance:\n Mass: 228.87 kg\n Factor of Safety: 0.95\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": 228.86792763812218, + "fos_buckling": 0.950583052395713, + "fos_yielding": 1.9392500450244985, + "deflection": 0.005697586375090684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001723)" + }, + "parent_node_id": "node_128", + "improvement_over_parent": null + }, + "node_130": { + "node_id": "node_130", + "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n\nPerformance:\n Mass: 233.64 kg\n Factor of Safety: 0.95\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": 233.6408501436077, + "fos_buckling": 0.950583052395713, + "fos_yielding": 1.9392500450244985, + "deflection": 0.005697586375090684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.634)" + }, + "parent_node_id": "node_129", + "improvement_over_parent": null + }, + "node_131": { + "node_id": "node_131", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0064)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n\nPerformance:\n Mass: 235.10 kg\n Factor of Safety: 0.95\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.09641088741654, + "fos_buckling": 0.950583052395713, + "fos_yielding": 2.5180277926147907, + "deflection": 0.005646129720520437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.340)" + }, + "parent_node_id": "node_130", + "improvement_over_parent": null + }, + "node_132": { + "node_id": "node_132", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0075)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 272.41 kg\n Factor of Safety: 1.07\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": 272.4138762290639, + "fos_buckling": 1.0727798543639468, + "fos_yielding": 2.9132635943642287, + "deflection": 0.0048807752761134745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_131", + "improvement_over_parent": null + }, + "node_133": { + "node_id": "node_133", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0075)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 296.80 kg\n Factor of Safety: 1.25\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.795348189896, + "fos_buckling": 1.2478060464552365, + "fos_yielding": 2.74923521685827, + "deflection": 0.0040768307994932815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_132", + "improvement_over_parent": null + }, + "node_134": { + "node_id": "node_134", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_133", + "improvement_over_parent": null + }, + "node_135": { + "node_id": "node_135", + "content": "INITIAL DESIGN (Trace 19)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 142.64 kg\n Factor of Safety: 0.61\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": 142.63778845337117, + "fos_buckling": 0.6099320464668089, + "fos_yielding": 1.1218534778464144, + "deflection": 0.009008903033155206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_136": { + "node_id": "node_136", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 171.99 kg\n Factor of Safety: 0.72\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.99431363232083, + "fos_buckling": 0.7199155735965952, + "fos_yielding": 1.351541732544812, + "deflection": 0.00748534615246881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_135", + "improvement_over_parent": null + }, + "node_137": { + "node_id": "node_137", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 211.17 kg\n Factor of Safety: 0.86\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.17010844435782, + "fos_buckling": 0.8585422660273483, + "fos_yielding": 1.6573966207243258, + "deflection": 0.0061120451202136454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_136", + "improvement_over_parent": null + }, + "node_138": { + "node_id": "node_138", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 214.35 kg\n Factor of Safety: 0.86\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.3521902903795, + "fos_buckling": 0.8583544693670256, + "fos_yielding": 1.647751703061537, + "deflection": 0.00606317965408761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.203)" + }, + "parent_node_id": "node_137", + "improvement_over_parent": null + }, + "node_139": { + "node_id": "node_139", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.23 kg\n Factor of Safety: 1.01\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": 260.22531740715624, + "fos_buckling": 1.0069221012613885, + "fos_yielding": 1.9981620655152592, + "deflection": 0.005008578398280139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_138", + "improvement_over_parent": null + }, + "node_140": { + "node_id": "node_140", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.13785403877324, + "fos_buckling": 1.522422325843243, + "fos_yielding": 2.0119469296693753, + "deflection": 0.004041852189647476, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_139", + "improvement_over_parent": null + }, + "node_141": { + "node_id": "node_141", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_140", + "improvement_over_parent": null + }, + "node_142": { + "node_id": "node_142", + "content": "INITIAL DESIGN (Trace 20)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 142.38 kg\n Factor of Safety: 0.64\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": 142.38306485979248, + "fos_buckling": 0.6392691098632203, + "fos_yielding": 1.3418396451711871, + "deflection": 0.010049065839338418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_143": { + "node_id": "node_143", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 163.20 kg\n Factor of Safety: 0.72\n Max Deflection: 8.78e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.195986927716, + "fos_buckling": 0.7211950489389918, + "fos_yielding": 1.537648365050212, + "deflection": 0.008781458392804488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_142", + "improvement_over_parent": null + }, + "node_144": { + "node_id": "node_144", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 212.65 kg\n Factor of Safety: 0.90\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.64607132497918, + "fos_buckling": 0.9042255467876102, + "fos_yielding": 2.002534186317215, + "deflection": 0.0067648585244129075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_143", + "improvement_over_parent": null + }, + "node_145": { + "node_id": "node_145", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n\nPerformance:\n Mass: 226.06 kg\n Factor of Safety: 0.90\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.05854475888137, + "fos_buckling": 0.9033925000264181, + "fos_yielding": 1.7800398653490421, + "deflection": 0.005842769442999578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002565)" + }, + "parent_node_id": "node_144", + "improvement_over_parent": null + }, + "node_146": { + "node_id": "node_146", + "content": "MODIFICATION: Increase 2 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0054)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n\nPerformance:\n Mass: 229.50 kg\n Factor of Safety: 0.90\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.49870526472557, + "fos_buckling": 0.9033925000264181, + "fos_yielding": 1.7800398653490421, + "deflection": 0.005842769442999578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.639)" + }, + "parent_node_id": "node_145", + "improvement_over_parent": null + }, + "node_147": { + "node_id": "node_147", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0063)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n\nPerformance:\n Mass: 262.27 kg\n Factor of Safety: 1.01\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": 262.2719327119413, + "fos_buckling": 1.0075692811948427, + "fos_yielding": 2.032567803623832, + "deflection": 0.00512112570594803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_146", + "improvement_over_parent": null + }, + "node_148": { + "node_id": "node_148", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0063)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 288.17 kg\n Factor of Safety: 1.36\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.1693698543311, + "fos_buckling": 1.357072126362809, + "fos_yielding": 2.0460525730164196, + "deflection": 0.004091387768235685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_147", + "improvement_over_parent": null + }, + "node_149": { + "node_id": "node_149", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_148", + "improvement_over_parent": null + }, + "node_150": { + "node_id": "node_150", + "content": "INITIAL DESIGN (Trace 21)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 166.66 kg\n Factor of Safety: 0.31\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.66395384212726, + "fos_buckling": 0.3103524747091269, + "fos_yielding": 1.3202064107867377, + "deflection": 0.029554241955667703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_151": { + "node_id": "node_151", + "content": "MODIFICATION: Increase 6 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 174.06 kg\n Factor of Safety: 0.31\n Max Deflection: 2.84e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.06363690708505, + "fos_buckling": 0.31019415964770364, + "fos_yielding": 1.3202064107867377, + "deflection": 0.02843739005234648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.439)" + }, + "parent_node_id": "node_150", + "improvement_over_parent": null + }, + "node_152": { + "node_id": "node_152", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 181.68 kg\n Factor of Safety: 0.38\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": 181.67542880666724, + "fos_buckling": 0.37777636844168966, + "fos_yielding": 1.3195090781259449, + "deflection": 0.02701136607430207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.656)" + }, + "parent_node_id": "node_151", + "improvement_over_parent": null + }, + "node_153": { + "node_id": "node_153", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 185.70 kg\n Factor of Safety: 0.48\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.70400253958567, + "fos_buckling": 0.47558700240997276, + "fos_yielding": 1.114989174211693, + "deflection": 0.00954899536093181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002499)" + }, + "parent_node_id": "node_152", + "improvement_over_parent": null + }, + "node_154": { + "node_id": "node_154", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 186.42 kg\n Factor of Safety: 0.48\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.419166620215, + "fos_buckling": 0.47554016337550903, + "fos_yielding": 1.110625596149401, + "deflection": 0.009413700243684712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.193)" + }, + "parent_node_id": "node_153", + "improvement_over_parent": null + }, + "node_155": { + "node_id": "node_155", + "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0059)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 196.69 kg\n Factor of Safety: 0.48\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.68586864567482, + "fos_buckling": 0.4752042297147267, + "fos_yielding": 1.1104864160881616, + "deflection": 0.008634009281005764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.447)" + }, + "parent_node_id": "node_154", + "improvement_over_parent": null + }, + "node_156": { + "node_id": "node_156", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0059)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n\nPerformance:\n Mass: 230.07 kg\n Factor of Safety: 0.97\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.0663680049105, + "fos_buckling": 0.967021250146522, + "fos_yielding": 1.0980143828548858, + "deflection": 0.005331198646204902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004662)" + }, + "parent_node_id": "node_155", + "improvement_over_parent": null + }, + "node_157": { + "node_id": "node_157", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0078)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0039)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 297.43 kg\n Factor of Safety: 1.22\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.4270241545186, + "fos_buckling": 1.224001839678317, + "fos_yielding": 1.4291850442152358, + "deflection": 0.004133470782242649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_156", + "improvement_over_parent": null + }, + "node_158": { + "node_id": "node_158", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 22)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 218.50 kg\n Factor of Safety: 0.91\n Max Deflection: 5.99e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.49613401783438, + "fos_buckling": 0.9085560026904204, + "fos_yielding": 1.761683395632703, + "deflection": 0.005994028424174523, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 248.25 kg\n Factor of Safety: 1.01\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": 248.25473146995924, + "fos_buckling": 1.0080499893348907, + "fos_yielding": 1.9991139443147128, + "deflection": 0.0052841953674542625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_159", + "improvement_over_parent": null + }, + "node_161": { + "node_id": "node_161", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 281.17 kg\n Factor of Safety: 1.36\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.16726810157627, + "fos_buckling": 1.3626535921603233, + "fos_yielding": 2.012802811186604, + "deflection": 0.004229803713960715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_160", + "improvement_over_parent": null + }, + "node_162": { + "node_id": "node_162", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 286.88 kg\n Factor of Safety: 1.46\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": 286.8817752209701, + "fos_buckling": 1.4588035136692625, + "fos_yielding": 2.0116851167759595, + "deflection": 0.004109095992735484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.222)" + }, + "parent_node_id": "node_161", + "improvement_over_parent": null + }, + "node_163": { + "node_id": "node_163", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.27022472023015, + "fos_buckling": 1.5229892653058839, + "fos_yielding": 2.01262616856252, + "deflection": 0.004040181464073676, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.359)" + }, + "parent_node_id": "node_162", + "improvement_over_parent": null + }, + "node_164": { + "node_id": "node_164", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_163", + "improvement_over_parent": null + }, + "node_165": { + "node_id": "node_165", + "content": "INITIAL DESIGN (Trace 23)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 149.26 kg\n Factor of Safety: 0.39\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": 149.2634603081113, + "fos_buckling": 0.3910826926165104, + "fos_yielding": 1.1802323834117785, + "deflection": 0.011902764679585797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_166": { + "node_id": "node_166", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 168.95 kg\n Factor of Safety: 0.44\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.95130303370377, + "fos_buckling": 0.4359380340679233, + "fos_yielding": 1.3341828506915585, + "deflection": 0.010527817910982657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_165", + "improvement_over_parent": null + }, + "node_167": { + "node_id": "node_167", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 200.07 kg\n Factor of Safety: 0.50\n Max Deflection: 8.91e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.0683748487513, + "fos_buckling": 0.503683534008041, + "fos_yielding": 1.576675376921403, + "deflection": 0.008906537762136865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_166", + "improvement_over_parent": null + }, + "node_168": { + "node_id": "node_168", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 206.91 kg\n Factor of Safety: 0.50\n Max Deflection: 8.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.91096116099334, + "fos_buckling": 0.503446496824321, + "fos_yielding": 1.5762806592813168, + "deflection": 0.008671941844376625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.332)" + }, + "parent_node_id": "node_167", + "improvement_over_parent": null + }, + "node_169": { + "node_id": "node_169", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 242.68 kg\n Factor of Safety: 1.30\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": 242.67580761578563, + "fos_buckling": 1.3028862596177897, + "fos_yielding": 1.6671675441623717, + "deflection": 0.004867916958736392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005021)" + }, + "parent_node_id": "node_168", + "improvement_over_parent": null + }, + "node_170": { + "node_id": "node_170", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.28 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.27956262269964, + "fos_buckling": 1.5226945786443915, + "fos_yielding": 2.0125218350164062, + "deflection": 0.0040398264967009545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_169", + "improvement_over_parent": null + }, + "node_171": { + "node_id": "node_171", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_170", + "improvement_over_parent": null + }, + "node_172": { + "node_id": "node_172", + "content": "INITIAL DESIGN (Trace 24)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 209.82 kg\n Factor of Safety: 1.13\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.81590468390226, + "fos_buckling": 1.1282513316493652, + "fos_yielding": 1.5873647759824645, + "deflection": 0.005605177178539316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_173": { + "node_id": "node_173", + "content": "MODIFICATION: Increase 7 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 214.81 kg\n Factor of Safety: 1.21\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": 214.80567275127135, + "fos_buckling": 1.2124690530668683, + "fos_yielding": 1.5866201279794605, + "deflection": 0.0054656654521036095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.186)" + }, + "parent_node_id": "node_172", + "improvement_over_parent": null + }, + "node_174": { + "node_id": "node_174", + "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 219.84 kg\n Factor of Safety: 1.21\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.84029504376116, + "fos_buckling": 1.2102349798544962, + "fos_yielding": 1.587246917150895, + "deflection": 0.005375941359529518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.261)" + }, + "parent_node_id": "node_173", + "improvement_over_parent": null + }, + "node_175": { + "node_id": "node_175", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.56 kg\n Factor of Safety: 1.49\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": 281.555381070362, + "fos_buckling": 1.4855595851369106, + "fos_yielding": 2.0281196034534403, + "deflection": 0.004212205066973544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_174", + "improvement_over_parent": null + }, + "node_176": { + "node_id": "node_176", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.82 kg\n Factor of Safety: 1.52\n Max Deflection: 4.17e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 286.82086675646394, + "fos_buckling": 1.5202649564935837, + "fos_yielding": 2.0139022108563718, + "deflection": 0.004167625824431575, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.225)" + }, + "parent_node_id": "node_175", + "improvement_over_parent": null + }, + "node_177": { + "node_id": "node_177", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22819402243056, + "fos_buckling": 1.5228512678880053, + "fos_yielding": 2.01258711731047, + "deflection": 0.004040469372366093, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.255)" + }, + "parent_node_id": "node_176", + "improvement_over_parent": null + }, + "node_178": { + "node_id": "node_178", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 25)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 181.44 kg\n Factor of Safety: 0.84\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.44052074307686, + "fos_buckling": 0.8359462818032478, + "fos_yielding": 1.4228671412835467, + "deflection": 0.006565327546636612, + "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: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 214.54 kg\n Factor of Safety: 0.97\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": 214.53930395011037, + "fos_buckling": 0.9745096191254187, + "fos_yielding": 1.6791535176997103, + "deflection": 0.005561060461978398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_179", + "improvement_over_parent": null + }, + "node_181": { + "node_id": "node_181", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 215.73 kg\n Factor of Safety: 0.99\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.72649722051614, + "fos_buckling": 0.9907397358736072, + "fos_yielding": 1.6720503331234577, + "deflection": 0.0054772881953477435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.416)" + }, + "parent_node_id": "node_180", + "improvement_over_parent": null + }, + "node_182": { + "node_id": "node_182", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 219.93 kg\n Factor of Safety: 1.02\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.92819606165776, + "fos_buckling": 1.024289030875813, + "fos_yielding": 1.6726400377855228, + "deflection": 0.005388757163564238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.267)" + }, + "parent_node_id": "node_181", + "improvement_over_parent": null + }, + "node_183": { + "node_id": "node_183", + "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 230.79 kg\n Factor of Safety: 1.22\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": 230.79456108663126, + "fos_buckling": 1.2221354706790237, + "fos_yielding": 1.670696557895354, + "deflection": 0.005062131400550937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.479)" + }, + "parent_node_id": "node_182", + "improvement_over_parent": null + }, + "node_184": { + "node_id": "node_184", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.85 kg\n Factor of Safety: 1.45\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": 282.8484001358711, + "fos_buckling": 1.4459842841606643, + "fos_yielding": 2.0438439797309713, + "deflection": 0.004143386271547558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_183", + "improvement_over_parent": null + }, + "node_185": { + "node_id": "node_185", + "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.14825350576353, + "fos_buckling": 1.5225879959726798, + "fos_yielding": 2.0117074794515215, + "deflection": 0.004041788930547704, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.546)" + }, + "parent_node_id": "node_184", + "improvement_over_parent": null + }, + "node_186": { + "node_id": "node_186", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_185", + "improvement_over_parent": null + }, + "node_187": { + "node_id": "node_187", + "content": "INITIAL DESIGN (Trace 26)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 201.96 kg\n Factor of Safety: 0.37\n Max Deflection: 2.60e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.95614126782712, + "fos_buckling": 0.3669433173154512, + "fos_yielding": 1.335180382654326, + "deflection": 25986954488950.027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_188": { + "node_id": "node_188", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 207.17 kg\n Factor of Safety: 0.44\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.16997130164123, + "fos_buckling": 0.442710398472157, + "fos_yielding": 1.9045450024425534, + "deflection": 0.008559174048420527, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_187", + "improvement_over_parent": null + }, + "node_189": { + "node_id": "node_189", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 214.60 kg\n Factor of Safety: 0.59\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.5961516912711, + "fos_buckling": 0.5898592111335959, + "fos_yielding": 1.9029942185017548, + "deflection": 0.007830952094213155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.441)" + }, + "parent_node_id": "node_188", + "improvement_over_parent": null + }, + "node_190": { + "node_id": "node_190", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 257.79 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.7942096287233, + "fos_buckling": 1.0729160506062108, + "fos_yielding": 2.288705209673079, + "deflection": 0.004849906424174719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_189", + "improvement_over_parent": null + }, + "node_191": { + "node_id": "node_191", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 288.77 kg\n Factor of Safety: 1.49\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.7727556777997, + "fos_buckling": 1.4898138145409883, + "fos_yielding": 2.025812399769794, + "deflection": 0.004083114216807156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_190", + "improvement_over_parent": null + }, + "node_192": { + "node_id": "node_192", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2193650507959, + "fos_buckling": 1.5228247262743668, + "fos_yielding": 2.0124647282194474, + "deflection": 0.004040746203581733, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.245)" + }, + "parent_node_id": "node_191", + "improvement_over_parent": null + }, + "node_193": { + "node_id": "node_193", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_192", + "improvement_over_parent": null + }, + "node_194": { + "node_id": "node_194", + "content": "INITIAL DESIGN (Trace 27)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 140.46 kg\n Factor of Safety: 0.31\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": 140.46499889364722, + "fos_buckling": 0.31364115360713873, + "fos_yielding": 1.0913469535009865, + "deflection": 0.013092731402582719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_195": { + "node_id": "node_195", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 160.79 kg\n Factor of Safety: 0.35\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": 160.78725687181708, + "fos_buckling": 0.354750626297196, + "fos_yielding": 1.247749652753582, + "deflection": 0.011448706061362014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_194", + "improvement_over_parent": null + }, + "node_196": { + "node_id": "node_196", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 205.59 kg\n Factor of Safety: 0.44\n Max Deflection: 8.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.58805255434393, + "fos_buckling": 0.4415822866023117, + "fos_yielding": 1.5912042941413835, + "deflection": 0.00897223531369124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_195", + "improvement_over_parent": null + }, + "node_197": { + "node_id": "node_197", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 241.68 kg\n Factor of Safety: 1.29\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": 241.67627468661456, + "fos_buckling": 1.2900526008235755, + "fos_yielding": 1.6819467108285706, + "deflection": 0.004870192677451829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005070)" + }, + "parent_node_id": "node_196", + "improvement_over_parent": null + }, + "node_198": { + "node_id": "node_198", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 244.89 kg\n Factor of Safety: 1.31\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.88758743243574, + "fos_buckling": 1.3131489354652222, + "fos_yielding": 1.6823847051756635, + "deflection": 0.004824735066598426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.188)" + }, + "parent_node_id": "node_197", + "improvement_over_parent": null + }, + "node_199": { + "node_id": "node_199", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.27336650783656, + "fos_buckling": 1.522989532262866, + "fos_yielding": 2.012603868287965, + "deflection": 0.004040045494760326, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_198", + "improvement_over_parent": null + }, + "node_200": { + "node_id": "node_200", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_199", + "improvement_over_parent": null + }, + "node_201": { + "node_id": "node_201", + "content": "INITIAL DESIGN (Trace 28)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 230.35 kg\n Factor of Safety: 1.19\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.35167800107, + "fos_buckling": 1.1928341473861177, + "fos_yielding": 1.6392086325107447, + "deflection": 0.005144716122396281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_202": { + "node_id": "node_202", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.21 kg\n Factor of Safety: 1.43\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.20881273822414, + "fos_buckling": 1.4346700944146928, + "fos_yielding": 2.018764118766379, + "deflection": 0.004182151478130337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.256)" + }, + "parent_node_id": "node_201", + "improvement_over_parent": null + }, + "node_203": { + "node_id": "node_203", + "content": "MODIFICATION: Increase 4 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 285.67 kg\n Factor of Safety: 1.46\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": 285.6704310031797, + "fos_buckling": 1.4609293095296796, + "fos_yielding": 2.019397166944172, + "deflection": 0.004150043821538257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.287)" + }, + "parent_node_id": "node_202", + "improvement_over_parent": null + }, + "node_204": { + "node_id": "node_204", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.11 kg\n Factor of Safety: 1.50\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.1085515520343, + "fos_buckling": 1.497548231126323, + "fos_yielding": 2.0203748097142533, + "deflection": 0.0040932826328507945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.267)" + }, + "parent_node_id": "node_203", + "improvement_over_parent": null + }, + "node_205": { + "node_id": "node_205", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.30324999989585, + "fos_buckling": 1.523236766574191, + "fos_yielding": 2.0129696715054854, + "deflection": 0.004039554633959978, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.326)" + }, + "parent_node_id": "node_204", + "improvement_over_parent": null + }, + "node_206": { + "node_id": "node_206", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 29)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 173.15 kg\n Factor of Safety: 0.56\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": 173.15178237424396, + "fos_buckling": 0.557231346996828, + "fos_yielding": 1.352228017419762, + "deflection": 0.008176552561538122, + "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 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 215.49 kg\n Factor of Safety: 0.68\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": 215.4865460312343, + "fos_buckling": 0.679643523881042, + "fos_yielding": 1.680183687991202, + "deflection": 0.006580151708257027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_207", + "improvement_over_parent": null + }, + "node_209": { + "node_id": "node_209", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 256.64 kg\n Factor of Safety: 0.79\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.63516732896915, + "fos_buckling": 0.7934222223960862, + "fos_yielding": 1.9978917453833662, + "deflection": 0.005532888359118594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_208", + "improvement_over_parent": null + }, + "node_210": { + "node_id": "node_210", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.23 kg\n Factor of Safety: 1.01\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": 267.2331066879749, + "fos_buckling": 1.0062604345316528, + "fos_yielding": 1.997675413535997, + "deflection": 0.005010531991603935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.357)" + }, + "parent_node_id": "node_209", + "improvement_over_parent": null + }, + "node_211": { + "node_id": "node_211", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1305438303647, + "fos_buckling": 1.5224848598661676, + "fos_yielding": 2.011796991082092, + "deflection": 0.004042035576739858, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_210", + "improvement_over_parent": null + }, + "node_212": { + "node_id": "node_212", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 30)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 188.62 kg\n Factor of Safety: 0.81\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.61555976033065, + "fos_buckling": 0.8107777392269307, + "fos_yielding": 1.4368705898778271, + "deflection": 0.009390901813156407, + "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 0 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 194.38 kg\n Factor of Safety: 0.81\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.37868758641673, + "fos_buckling": 0.8104560235383438, + "fos_yielding": 1.7474024377156432, + "deflection": 0.008304891988070865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.458)" + }, + "parent_node_id": "node_213", + "improvement_over_parent": null + }, + "node_215": { + "node_id": "node_215", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n\nPerformance:\n Mass: 214.29 kg\n Factor of Safety: 0.82\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.292495919641, + "fos_buckling": 0.8223185405664992, + "fos_yielding": 1.7969143965711134, + "deflection": 0.008266915346282759, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003769)" + }, + "parent_node_id": "node_214", + "improvement_over_parent": null + }, + "node_216": { + "node_id": "node_216", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n\nPerformance:\n Mass: 221.45 kg\n Factor of Safety: 0.83\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": 221.4477645161502, + "fos_buckling": 0.8322675084060155, + "fos_yielding": 1.7688762943713012, + "deflection": 0.00763037837781562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.404)" + }, + "parent_node_id": "node_215", + "improvement_over_parent": null + }, + "node_217": { + "node_id": "node_217", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 225.46 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": 225.45678266054983, + "fos_buckling": 1.224511183179394, + "fos_yielding": 1.5498692295322092, + "deflection": 0.005234774053865049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002486)" + }, + "parent_node_id": "node_216", + "improvement_over_parent": null + }, + "node_218": { + "node_id": "node_218", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.24255049867696, + "fos_buckling": 1.5230645955568207, + "fos_yielding": 2.0127689875593515, + "deflection": 0.004040565538407349, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_217", + "improvement_over_parent": null + }, + "node_219": { + "node_id": "node_219", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_218", + "improvement_over_parent": null + }, + "node_220": { + "node_id": "node_220", + "content": "INITIAL DESIGN (Trace 31)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 160.32 kg\n Factor of Safety: 0.50\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.32122176813917, + "fos_buckling": 0.5046374010658075, + "fos_yielding": 1.2147226331009906, + "deflection": 0.010636790369515769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_221": { + "node_id": "node_221", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 196.04 kg\n Factor of Safety: 0.62\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": 196.03983121806093, + "fos_buckling": 0.61743486246217, + "fos_yielding": 1.2147226331009906, + "deflection": 0.006943426651799581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005014)" + }, + "parent_node_id": "node_220", + "improvement_over_parent": null + }, + "node_222": { + "node_id": "node_222", + "content": "MODIFICATION: Increase 9 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0081)]\n\nPerformance:\n Mass: 215.22 kg\n Factor of Safety: 0.62\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": 215.21865275740208, + "fos_buckling": 0.6166211196562179, + "fos_yielding": 1.2147226331009906, + "deflection": 0.006659546938958566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.608)" + }, + "parent_node_id": "node_221", + "improvement_over_parent": null + }, + "node_223": { + "node_id": "node_223", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0081)]\n\nPerformance:\n Mass: 218.18 kg\n Factor of Safety: 0.62\n Max Deflection: 6.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.1812181104758, + "fos_buckling": 0.6166211196562179, + "fos_yielding": 1.8949735164666466, + "deflection": 0.006659546938958566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_222", + "improvement_over_parent": null + }, + "node_224": { + "node_id": "node_224", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0081)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 243.80 kg\n Factor of Safety: 0.95\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": 243.7977614886096, + "fos_buckling": 0.9539472513121324, + "fos_yielding": 1.630262187543608, + "deflection": 0.005101954805399013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004246)" + }, + "parent_node_id": "node_223", + "improvement_over_parent": null + }, + "node_225": { + "node_id": "node_225", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0099)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 294.37 kg\n Factor of Safety: 1.13\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": 294.36591817051806, + "fos_buckling": 1.1343783159675231, + "fos_yielding": 1.9701266586421813, + "deflection": 0.00422912724465278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_224", + "improvement_over_parent": null + }, + "node_226": { + "node_id": "node_226", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0099)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 295.48 kg\n Factor of Safety: 1.13\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": 295.47931013489085, + "fos_buckling": 1.1336208904551572, + "fos_yielding": 1.9704590728189404, + "deflection": 0.004207703348950236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.206)" + }, + "parent_node_id": "node_225", + "improvement_over_parent": null + }, + "node_227": { + "node_id": "node_227", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0099)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 299.78 kg\n Factor of Safety: 1.16\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": 299.77756320334, + "fos_buckling": 1.1641139083813852, + "fos_yielding": 1.9568318292276534, + "deflection": 0.004146426592850272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.235)" + }, + "parent_node_id": "node_226", + "improvement_over_parent": null + }, + "node_228": { + "node_id": "node_228", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_227", + "improvement_over_parent": null + }, + "node_229": { + "node_id": "node_229", + "content": "INITIAL DESIGN (Trace 32)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_230": { + "node_id": "node_230", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 266.39 kg\n Factor of Safety: 1.07\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": 266.3900905689659, + "fos_buckling": 1.072306855734453, + "fos_yielding": 2.2871342448230187, + "deflection": 0.0048973599743744765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_229", + "improvement_over_parent": null + }, + "node_231": { + "node_id": "node_231", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 267.77 kg\n Factor of Safety: 1.07\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.77050489519627, + "fos_buckling": 1.0721040820372654, + "fos_yielding": 2.287134244823018, + "deflection": 0.004879359435227468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.395)" + }, + "parent_node_id": "node_230", + "improvement_over_parent": null + }, + "node_232": { + "node_id": "node_232", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.15 kg\n Factor of Safety: 1.48\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": 292.15197685602834, + "fos_buckling": 1.4764920245553455, + "fos_yielding": 2.0120667405094537, + "deflection": 0.0040655918350392525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_231", + "improvement_over_parent": null + }, + "node_233": { + "node_id": "node_233", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.47\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": 293.0720779813297, + "fos_buckling": 1.4706453155571908, + "fos_yielding": 2.0082149246278567, + "deflection": 0.00403781034424679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.198)" + }, + "parent_node_id": "node_232", + "improvement_over_parent": null + }, + "node_234": { + "node_id": "node_234", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_233", + "improvement_over_parent": null + }, + "node_235": { + "node_id": "node_235", + "content": "INITIAL DESIGN (Trace 33)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 198.36 kg\n Factor of Safety: 1.27\n Max Deflection: 1.22e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.36414914665707, + "fos_buckling": 1.2705447042968219, + "fos_yielding": 1.561107228611381, + "deflection": 12179813654470.652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_236": { + "node_id": "node_236", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 224.26 kg\n Factor of Safety: 0.48\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.26158628904685, + "fos_buckling": 0.4791060841389439, + "fos_yielding": 1.1253073712763755, + "deflection": 10209762289245.008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_235", + "improvement_over_parent": null + }, + "node_237": { + "node_id": "node_237", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 248.64 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.64305824987895, + "fos_buckling": 0.5215799712206947, + "fos_yielding": 1.5726216873229493, + "deflection": 0.007520512668769338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_236", + "improvement_over_parent": null + }, + "node_238": { + "node_id": "node_238", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2249894178248, + "fos_buckling": 1.522899212040269, + "fos_yielding": 2.012447214776498, + "deflection": 0.004040695454252283, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_237", + "improvement_over_parent": null + }, + "node_239": { + "node_id": "node_239", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_238", + "improvement_over_parent": null + }, + "node_240": { + "node_id": "node_240", + "content": "INITIAL DESIGN (Trace 34)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 195.94 kg\n Factor of Safety: 1.07\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": 195.93561336488293, + "fos_buckling": 1.07464442763021, + "fos_yielding": 1.3753312310560384, + "deflection": 0.005972434219234003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_241": { + "node_id": "node_241", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 219.21 kg\n Factor of Safety: 1.18\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": 219.21312610086517, + "fos_buckling": 1.184160026680875, + "fos_yielding": 1.5376960050328787, + "deflection": 0.0053456919244973915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_240", + "improvement_over_parent": null + }, + "node_242": { + "node_id": "node_242", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 249.03 kg\n Factor of Safety: 1.32\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": 249.03403185465385, + "fos_buckling": 1.318920585538873, + "fos_yielding": 1.7453744445163761, + "deflection": 0.004713975616633364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_241", + "improvement_over_parent": null + }, + "node_243": { + "node_id": "node_243", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 287.19 kg\n Factor of Safety: 1.48\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": 287.19191237373076, + "fos_buckling": 1.482336311999504, + "fos_yielding": 2.0105694165791363, + "deflection": 0.004096996348105724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_242", + "improvement_over_parent": null + }, + "node_244": { + "node_id": "node_244", + "content": "MODIFICATION: Increase 8 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.05 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0508901425909, + "fos_buckling": 1.5221598549711917, + "fos_yielding": 2.011254888875982, + "deflection": 0.004043066724628989, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.238)" + }, + "parent_node_id": "node_243", + "improvement_over_parent": null + }, + "node_245": { + "node_id": "node_245", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_244", + "improvement_over_parent": null + }, + "node_246": { + "node_id": "node_246", + "content": "INITIAL DESIGN (Trace 35)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 139.36 kg\n Factor of Safety: 0.34\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.3583674489178, + "fos_buckling": 0.3380823139848352, + "fos_yielding": 0.9382768137820892, + "deflection": 0.016557307499382664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_247": { + "node_id": "node_247", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 173.81 kg\n Factor of Safety: 0.41\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.80796075009286, + "fos_buckling": 0.4131066414344924, + "fos_yielding": 1.1690169518174809, + "deflection": 0.013294646783977971, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_246", + "improvement_over_parent": null + }, + "node_248": { + "node_id": "node_248", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 199.03 kg\n Factor of Safety: 0.47\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.0306788215778, + "fos_buckling": 0.4658784098065607, + "fos_yielding": 1.3376279576962433, + "deflection": 0.011621836394031975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_247", + "improvement_over_parent": null + }, + "node_249": { + "node_id": "node_249", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 242.23 kg\n Factor of Safety: 0.52\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.22873675903003, + "fos_buckling": 0.5215866341126549, + "fos_yielding": 1.5720375195608165, + "deflection": 0.007576737560799935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_248", + "improvement_over_parent": null + }, + "node_250": { + "node_id": "node_250", + "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 248.52 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.52485214308706, + "fos_buckling": 0.5213613882372113, + "fos_yielding": 1.5718261416562826, + "deflection": 0.007523935924934956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.353)" + }, + "parent_node_id": "node_249", + "improvement_over_parent": null + }, + "node_251": { + "node_id": "node_251", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1067833110329, + "fos_buckling": 1.522772084166748, + "fos_yielding": 2.0114784727218478, + "deflection": 0.004042133028555478, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_250", + "improvement_over_parent": null + }, + "node_252": { + "node_id": "node_252", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_251", + "improvement_over_parent": null + }, + "node_253": { + "node_id": "node_253", + "content": "INITIAL DESIGN (Trace 36)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0012)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0012)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0011)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0010)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0008)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0007)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0010)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0013)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0011)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0011)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0013)]\n\nPerformance:\n Mass: 66.15 kg\n Factor of Safety: 0.40\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": 66.1495506230299, + "fos_buckling": 0.39662108088126863, + "fos_yielding": 0.45632668713994995, + "deflection": 0.017675947260491348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_254": { + "node_id": "node_254", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0016)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0011)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0013)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0017)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0015)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0015)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0018)]\n\nPerformance:\n Mass: 87.59 kg\n Factor of Safety: 0.52\n Max Deflection: 1.34e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.58893050649529, + "fos_buckling": 0.5184553750113946, + "fos_yielding": 0.6039311727663943, + "deflection": 0.013366152701373531, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_253", + "improvement_over_parent": null + }, + "node_255": { + "node_id": "node_255", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0021)]\n\nPerformance:\n Mass: 106.04 kg\n Factor of Safety: 0.62\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": 106.04236264375929, + "fos_buckling": 0.6207058377692369, + "fos_yielding": 0.730863554312711, + "deflection": 0.011052122600813265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_254", + "improvement_over_parent": null + }, + "node_256": { + "node_id": "node_256", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 130.06 kg\n Factor of Safety: 0.75\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.06162242239515, + "fos_buckling": 0.7501852568478617, + "fos_yielding": 0.8959219790564027, + "deflection": 0.009023732289884415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_255", + "improvement_over_parent": null + }, + "node_257": { + "node_id": "node_257", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 169.44 kg\n Factor of Safety: 0.95\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.43731920493065, + "fos_buckling": 0.9536506153602071, + "fos_yielding": 1.166121155757583, + "deflection": 0.006942644103160771, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_256", + "improvement_over_parent": null + }, + "node_258": { + "node_id": "node_258", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 204.82 kg\n Factor of Safety: 1.13\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.82175083865866, + "fos_buckling": 1.1272236374183209, + "fos_yielding": 1.4085222710861585, + "deflection": 0.005755106011520284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_257", + "improvement_over_parent": null + }, + "node_259": { + "node_id": "node_259", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 239.46 kg\n Factor of Safety: 1.29\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.45787917832536, + "fos_buckling": 1.2886815146188868, + "fos_yielding": 1.6454224659454286, + "deflection": 0.004932589537912321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_258", + "improvement_over_parent": null + }, + "node_260": { + "node_id": "node_260", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3201475685917, + "fos_buckling": 1.5232818994522483, + "fos_yielding": 2.0130890550562777, + "deflection": 0.004039419627886536, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_259", + "improvement_over_parent": null + }, + "node_261": { + "node_id": "node_261", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_260", + "improvement_over_parent": null + }, + "node_262": { + "node_id": "node_262", + "content": "INITIAL DESIGN (Trace 37)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\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_263": { + "node_id": "node_263", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 232.75 kg\n Factor of Safety: 0.98\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": 232.74575352314326, + "fos_buckling": 0.9812069768372644, + "fos_yielding": 2.050794496722441, + "deflection": 0.005458480138295741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004314)" + }, + "parent_node_id": "node_262", + "improvement_over_parent": null + }, + "node_264": { + "node_id": "node_264", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 260.51 kg\n Factor of Safety: 1.01\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": 260.50644236670934, + "fos_buckling": 1.0076621045092566, + "fos_yielding": 1.8242940913121302, + "deflection": 0.004679071927998303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004632)" + }, + "parent_node_id": "node_263", + "improvement_over_parent": null + }, + "node_265": { + "node_id": "node_265", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 290.63 kg\n Factor of Safety: 1.12\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": 290.6291837708924, + "fos_buckling": 1.1192226423025504, + "fos_yielding": 2.033507961516739, + "deflection": 0.004199595018420185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_264", + "improvement_over_parent": null + }, + "node_266": { + "node_id": "node_266", + "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0060)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.44 kg\n Factor of Safety: 1.09\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": 293.4437104346487, + "fos_buckling": 1.0934364079125685, + "fos_yielding": 2.3637381812755844, + "deflection": 0.004160675992082109, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.321)" + }, + "parent_node_id": "node_265", + "improvement_over_parent": null + }, + "node_267": { + "node_id": "node_267", + "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0092)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 298.86 kg\n Factor of Safety: 1.07\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": 298.85881677449424, + "fos_buckling": 1.0672072148971061, + "fos_yielding": 2.307037174663728, + "deflection": 0.004119158921285837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.522)" + }, + "parent_node_id": "node_266", + "improvement_over_parent": null + }, + "node_268": { + "node_id": "node_268", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_267", + "improvement_over_parent": null + }, + "node_269": { + "node_id": "node_269", + "content": "INITIAL DESIGN (Trace 38)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 199.75 kg\n Factor of Safety: 0.96\n Max Deflection: 7.67e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.74852014361548, + "fos_buckling": 0.9582121682778878, + "fos_yielding": 1.6689077404452821, + "deflection": 7671582800825.808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_270": { + "node_id": "node_270", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 224.13 kg\n Factor of Safety: 0.96\n Max Deflection: 8.63e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.12999210444758, + "fos_buckling": 0.9582121682778878, + "fos_yielding": 1.7677350891998267, + "deflection": 8628842112507.498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_269", + "improvement_over_parent": null + }, + "node_271": { + "node_id": "node_271", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 267.33 kg\n Factor of Safety: 1.01\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": 267.3280500418998, + "fos_buckling": 1.0067022032519606, + "fos_yielding": 1.998318804428132, + "deflection": 0.0050085995274929285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_270", + "improvement_over_parent": null + }, + "node_272": { + "node_id": "node_272", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2254871842896, + "fos_buckling": 1.5228813565019252, + "fos_yielding": 2.012442475860601, + "deflection": 0.004040688601037944, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_271", + "improvement_over_parent": null + }, + "node_273": { + "node_id": "node_273", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_272", + "improvement_over_parent": null + }, + "node_274": { + "node_id": "node_274", + "content": "INITIAL DESIGN (Trace 39)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\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_275": { + "node_id": "node_275", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 170.07 kg\n Factor of Safety: 0.37\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": 170.07033363699068, + "fos_buckling": 0.36955490152439535, + "fos_yielding": 1.156297035951865, + "deflection": 0.013776487795319167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002817)" + }, + "parent_node_id": "node_274", + "improvement_over_parent": null + }, + "node_276": { + "node_id": "node_276", + "content": "MODIFICATION: Increase 2 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 177.41 kg\n Factor of Safety: 0.46\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.40644430491295, + "fos_buckling": 0.4636468926981153, + "fos_yielding": 1.1557075768877514, + "deflection": 0.012756909789141858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.527)" + }, + "parent_node_id": "node_275", + "improvement_over_parent": null + }, + "node_277": { + "node_id": "node_277", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n\nPerformance:\n Mass: 214.70 kg\n Factor of Safety: 0.46\n Max Deflection: 8.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.70454796630827, + "fos_buckling": 0.46245813735105457, + "fos_yielding": 1.359298955679753, + "deflection": 0.008693093690167457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005254)" + }, + "parent_node_id": "node_276", + "improvement_over_parent": null + }, + "node_278": { + "node_id": "node_278", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 253.19 kg\n Factor of Safety: 1.35\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": 253.1942425079517, + "fos_buckling": 1.3502764659764546, + "fos_yielding": 1.7391576745827824, + "deflection": 0.004668804667206044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005337)" + }, + "parent_node_id": "node_277", + "improvement_over_parent": null + }, + "node_279": { + "node_id": "node_279", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2970615829526, + "fos_buckling": 1.5230397117317425, + "fos_yielding": 2.012801026859966, + "deflection": 0.004039814630389524, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_278", + "improvement_over_parent": null + }, + "node_280": { + "node_id": "node_280", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_279", + "improvement_over_parent": null + }, + "node_281": { + "node_id": "node_281", + "content": "INITIAL DESIGN (Trace 40)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 188.09 kg\n Factor of Safety: 0.76\n Max Deflection: 8.94e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.08882255927898, + "fos_buckling": 0.7577201411399025, + "fos_yielding": 1.2818989848806257, + "deflection": 0.008936143260680228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_282": { + "node_id": "node_282", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 217.25 kg\n Factor of Safety: 0.86\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.25495942371845, + "fos_buckling": 0.8580165848716402, + "fos_yielding": 1.4818630720485135, + "deflection": 0.007743952155547054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_281", + "improvement_over_parent": null + }, + "node_283": { + "node_id": "node_283", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 221.45 kg\n Factor of Safety: 1.12\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.4528989589801, + "fos_buckling": 1.1184867639251228, + "fos_yielding": 1.2893833516420534, + "deflection": 0.005383571031859013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002612)" + }, + "parent_node_id": "node_282", + "improvement_over_parent": null + }, + "node_284": { + "node_id": "node_284", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 230.17 kg\n Factor of Safety: 1.11\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.16878622861293, + "fos_buckling": 1.1078429430041647, + "fos_yielding": 1.277113232820816, + "deflection": 0.0053094817885407436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.387)" + }, + "parent_node_id": "node_283", + "improvement_over_parent": null + }, + "node_285": { + "node_id": "node_285", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 236.25 kg\n Factor of Safety: 1.11\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": 236.25011371501506, + "fos_buckling": 1.1069606389300528, + "fos_yielding": 1.276096119144608, + "deflection": 0.005095696851674445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.307)" + }, + "parent_node_id": "node_284", + "improvement_over_parent": null + }, + "node_286": { + "node_id": "node_286", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0063)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 245.39 kg\n Factor of Safety: 1.11\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": 245.39482636840705, + "fos_buckling": 1.1061264423085653, + "fos_yielding": 1.275134463387532, + "deflection": 0.0049001396094561864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.289)" + }, + "parent_node_id": "node_285", + "improvement_over_parent": null + }, + "node_287": { + "node_id": "node_287", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0080)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0073)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 304.34 kg\n Factor of Safety: 1.34\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": 304.3412361133606, + "fos_buckling": 1.3417470262153623, + "fos_yielding": 1.5890640431558924, + "deflection": 0.0039608999241786454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_286", + "improvement_over_parent": null + }, + "node_288": { + "node_id": "node_288", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_287", + "improvement_over_parent": null + }, + "node_289": { + "node_id": "node_289", + "content": "INITIAL DESIGN (Trace 41)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0020)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 121.19 kg\n Factor of Safety: 0.39\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.1900691011553, + "fos_buckling": 0.38738800187587896, + "fos_yielding": 0.9526114720889144, + "deflection": 0.01177843635369347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_290": { + "node_id": "node_290", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 139.85 kg\n Factor of Safety: 0.44\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.84614386804077, + "fos_buckling": 0.4433911969753463, + "fos_yielding": 1.0984935617848592, + "deflection": 0.010213628314471365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_289", + "improvement_over_parent": null + }, + "node_291": { + "node_id": "node_291", + "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 146.50 kg\n Factor of Safety: 0.60\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.50422391589075, + "fos_buckling": 0.6012351405378753, + "fos_yielding": 1.0984186168272396, + "deflection": 0.009071991639985266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.410)" + }, + "parent_node_id": "node_290", + "improvement_over_parent": null + }, + "node_292": { + "node_id": "node_292", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 183.90 kg\n Factor of Safety: 0.74\n Max Deflection: 7.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.89646463616478, + "fos_buckling": 0.7352811828600947, + "fos_yielding": 1.3775182867498488, + "deflection": 0.007244088442134234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_291", + "improvement_over_parent": null + }, + "node_293": { + "node_id": "node_293", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 1.11\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.73301050942692, + "fos_buckling": 1.1123650332268302, + "fos_yielding": 1.3873213630899683, + "deflection": 0.005842410731585199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003351)" + }, + "parent_node_id": "node_292", + "improvement_over_parent": null + }, + "node_294": { + "node_id": "node_294", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 260.17 kg\n Factor of Safety: 1.38\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": 260.1721248632793, + "fos_buckling": 1.3812053841558136, + "fos_yielding": 1.7868529732968395, + "deflection": 0.004545513735420016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_293", + "improvement_over_parent": null + }, + "node_295": { + "node_id": "node_295", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0863165948099, + "fos_buckling": 1.5222374982006728, + "fos_yielding": 2.01141531678884, + "deflection": 0.004042746929151704, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_294", + "improvement_over_parent": null + }, + "node_296": { + "node_id": "node_296", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_295", + "improvement_over_parent": null + }, + "node_297": { + "node_id": "node_297", + "content": "INITIAL DESIGN (Trace 42)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 160.04 kg\n Factor of Safety: 0.41\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": 160.0381277562734, + "fos_buckling": 0.4062187592498365, + "fos_yielding": 0.9010561532312883, + "deflection": 0.011681249841683318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_298": { + "node_id": "node_298", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 188.32 kg\n Factor of Safety: 0.47\n Max Deflection: 9.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.32413825620287, + "fos_buckling": 0.4678958411166022, + "fos_yielding": 1.063889697003208, + "deflection": 0.009937388574816528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_297", + "improvement_over_parent": null + }, + "node_299": { + "node_id": "node_299", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n\nPerformance:\n Mass: 216.28 kg\n Factor of Safety: 0.98\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": 216.2818946038792, + "fos_buckling": 0.9787850920241303, + "fos_yielding": 1.5413827642801259, + "deflection": 0.005587341053694277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003860)" + }, + "parent_node_id": "node_298", + "improvement_over_parent": null + }, + "node_300": { + "node_id": "node_300", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n\nPerformance:\n Mass: 220.54 kg\n Factor of Safety: 0.96\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": 220.54178435337903, + "fos_buckling": 0.9595058685701918, + "fos_yielding": 1.5419850827851376, + "deflection": 0.005533688091400275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.185)" + }, + "parent_node_id": "node_299", + "improvement_over_parent": null + }, + "node_301": { + "node_id": "node_301", + "content": "MODIFICATION: Increase 5 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n\nPerformance:\n Mass: 221.97 kg\n Factor of Safety: 1.12\n Max Deflection: 5.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.96969396493685, + "fos_buckling": 1.119405399680023, + "fos_yielding": 1.530927609294341, + "deflection": 0.005387571522752718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.603)" + }, + "parent_node_id": "node_300", + "improvement_over_parent": null + }, + "node_302": { + "node_id": "node_302", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n\nPerformance:\n Mass: 260.01 kg\n Factor of Safety: 1.28\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.01313711106627, + "fos_buckling": 1.2849520539723824, + "fos_yielding": 1.7918761087562178, + "deflection": 0.004608298795690935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_301", + "improvement_over_parent": null + }, + "node_303": { + "node_id": "node_303", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0064)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n\nPerformance:\n Mass: 292.65 kg\n Factor of Safety: 1.42\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": 292.6475983894327, + "fos_buckling": 1.4208377622959933, + "fos_yielding": 2.0153951644214265, + "deflection": 0.0041012265940951215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_302", + "improvement_over_parent": null + }, + "node_304": { + "node_id": "node_304", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_303", + "improvement_over_parent": null + }, + "node_305": { + "node_id": "node_305", + "content": "INITIAL DESIGN (Trace 43)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 211.05 kg\n Factor of Safety: 0.92\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": 211.0491116628215, + "fos_buckling": 0.9206799067240669, + "fos_yielding": 1.3787901869152448, + "deflection": 0.005999408183950113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_306": { + "node_id": "node_306", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 213.31 kg\n Factor of Safety: 0.92\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": 213.31307941929478, + "fos_buckling": 0.9206799067240669, + "fos_yielding": 1.898312329219677, + "deflection": 0.005999408183950113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.406)" + }, + "parent_node_id": "node_305", + "improvement_over_parent": null + }, + "node_307": { + "node_id": "node_307", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 0.92\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.20038975280838, + "fos_buckling": 0.9200545327687388, + "fos_yielding": 1.8983123292196766, + "deflection": 0.005828577025732786, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.610)" + }, + "parent_node_id": "node_306", + "improvement_over_parent": null + }, + "node_308": { + "node_id": "node_308", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 243.44 kg\n Factor of Safety: 1.31\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.44163301802456, + "fos_buckling": 1.3065792802204492, + "fos_yielding": 1.6715058536923368, + "deflection": 0.004853159400060961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003971)" + }, + "parent_node_id": "node_307", + "improvement_over_parent": null + }, + "node_309": { + "node_id": "node_309", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.10 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0988197748213, + "fos_buckling": 1.5222017194818585, + "fos_yielding": 2.010234877618866, + "deflection": 0.004042553208130371, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_308", + "improvement_over_parent": null + }, + "node_310": { + "node_id": "node_310", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_309", + "improvement_over_parent": null + }, + "node_311": { + "node_id": "node_311", + "content": "INITIAL DESIGN (Trace 44)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 223.30 kg\n Factor of Safety: 0.90\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": 223.29739965792567, + "fos_buckling": 0.8958782550076348, + "fos_yielding": 1.7336230804040489, + "deflection": 0.005764950769649519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_312": { + "node_id": "node_312", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 225.61 kg\n Factor of Safety: 0.90\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": 225.6103963272896, + "fos_buckling": 0.8958782550076348, + "fos_yielding": 1.7336230804040489, + "deflection": 0.005764950769649519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.658)" + }, + "parent_node_id": "node_311", + "improvement_over_parent": null + }, + "node_313": { + "node_id": "node_313", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.52 kg\n Factor of Safety: 1.01\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": 260.5197128756061, + "fos_buckling": 1.0077639291239184, + "fos_yielding": 2.000182373914655, + "deflection": 0.005003267817337118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_312", + "improvement_over_parent": null + }, + "node_314": { + "node_id": "node_314", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.43 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4322495072231, + "fos_buckling": 1.5238341239877624, + "fos_yielding": 2.013980511851479, + "deflection": 0.0040377538930957205, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_313", + "improvement_over_parent": null + }, + "node_315": { + "node_id": "node_315", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_314", + "improvement_over_parent": null + }, + "node_316": { + "node_id": "node_316", + "content": "INITIAL DESIGN (Trace 45)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 263.47 kg\n Factor of Safety: 1.22\n Max Deflection: 4.48e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.47423505926446, + "fos_buckling": 1.2207002447098803, + "fos_yielding": 2.011220593856376, + "deflection": 0.004480088114568472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_317": { + "node_id": "node_317", + "content": "MODIFICATION: Increase 10 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 274.02 kg\n Factor of Safety: 1.33\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.01687139340993, + "fos_buckling": 1.3318512358153212, + "fos_yielding": 2.042369744409812, + "deflection": 0.004250352134862524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.340)" + }, + "parent_node_id": "node_316", + "improvement_over_parent": null + }, + "node_318": { + "node_id": "node_318", + "content": "MODIFICATION: Increase 2 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.13 kg\n Factor of Safety: 1.45\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": 283.12799775513224, + "fos_buckling": 1.4480211995632035, + "fos_yielding": 2.0437419755440556, + "deflection": 0.0041397349264826085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.595)" + }, + "parent_node_id": "node_317", + "improvement_over_parent": null + }, + "node_319": { + "node_id": "node_319", + "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20432367652023, + "fos_buckling": 1.5226546380446815, + "fos_yielding": 2.0124637299606865, + "deflection": 0.004040912106832652, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.529)" + }, + "parent_node_id": "node_318", + "improvement_over_parent": null + }, + "node_320": { + "node_id": "node_320", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 46)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 149.12 kg\n Factor of Safety: 0.84\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.12003963078263, + "fos_buckling": 0.8448155000757377, + "fos_yielding": 1.0324046101472344, + "deflection": 0.007928475858000305, + "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 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 149.56 kg\n Factor of Safety: 0.85\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.56350524341434, + "fos_buckling": 0.8523075952819893, + "fos_yielding": 1.0298202920849822, + "deflection": 0.00785616449360175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.209)" + }, + "parent_node_id": "node_321", + "improvement_over_parent": null + }, + "node_323": { + "node_id": "node_323", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 183.85 kg\n Factor of Safety: 1.03\n Max Deflection: 6.40e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.85491515679806, + "fos_buckling": 1.0254159278955968, + "fos_yielding": 1.2649535694384058, + "deflection": 0.006403680574631315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_322", + "improvement_over_parent": null + }, + "node_324": { + "node_id": "node_324", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 208.55 kg\n Factor of Safety: 1.14\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.54985601102706, + "fos_buckling": 1.144987187358626, + "fos_yielding": 1.4340592171467383, + "deflection": 0.005653527776869541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_323", + "improvement_over_parent": null + }, + "node_325": { + "node_id": "node_325", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 254.05 kg\n Factor of Safety: 1.35\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": 254.04577560622067, + "fos_buckling": 1.3541771320513223, + "fos_yielding": 1.7451123875150827, + "deflection": 0.0046533493692670624, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_324", + "improvement_over_parent": null + }, + "node_326": { + "node_id": "node_326", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.58 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5844291476308, + "fos_buckling": 1.5243633492112703, + "fos_yielding": 2.0149181536634484, + "deflection": 0.004035896510365409, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_325", + "improvement_over_parent": null + }, + "node_327": { + "node_id": "node_327", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_326", + "improvement_over_parent": null + }, + "node_328": { + "node_id": "node_328", + "content": "INITIAL DESIGN (Trace 47)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 190.70 kg\n Factor of Safety: 0.85\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.69712480662812, + "fos_buckling": 0.8460905358036961, + "fos_yielding": 1.8495188308355701, + "deflection": 0.007310087387072681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_329": { + "node_id": "node_329", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 236.03 kg\n Factor of Safety: 1.01\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.0258604713338, + "fos_buckling": 1.0091458325901523, + "fos_yielding": 2.288031052933948, + "deflection": 0.005925974748939058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_328", + "improvement_over_parent": null + }, + "node_330": { + "node_id": "node_330", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 268.94 kg\n Factor of Safety: 1.07\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": 268.93839710295083, + "fos_buckling": 1.072442921678665, + "fos_yielding": 2.288031052933947, + "deflection": 0.004851061710598367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_329", + "improvement_over_parent": null + }, + "node_331": { + "node_id": "node_331", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3198690637829, + "fos_buckling": 1.5233026362182003, + "fos_yielding": 2.0132529088413182, + "deflection": 0.0040393115420582935, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_330", + "improvement_over_parent": null + }, + "node_332": { + "node_id": "node_332", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_331", + "improvement_over_parent": null + }, + "node_333": { + "node_id": "node_333", + "content": "INITIAL DESIGN (Trace 48)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 207.71 kg\n Factor of Safety: 0.85\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": 207.70562262784566, + "fos_buckling": 0.8548829182725486, + "fos_yielding": 1.8497415432427016, + "deflection": 0.007263990349760354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_334": { + "node_id": "node_334", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 228.95 kg\n Factor of Safety: 0.93\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": 228.9480337879796, + "fos_buckling": 0.928546685386246, + "fos_yielding": 2.038558008347244, + "deflection": 0.006595159738527958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_333", + "improvement_over_parent": null + }, + "node_335": { + "node_id": "node_335", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 256.87 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": 256.869758482068, + "fos_buckling": 1.021496755786841, + "fos_yielding": 2.286643251536421, + "deflection": 0.005884290293437012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_334", + "improvement_over_parent": null + }, + "node_336": { + "node_id": "node_336", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 287.85 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.8483045311444, + "fos_buckling": 1.0361137970521748, + "fos_yielding": 2.2944794998616933, + "deflection": 0.005882990866072897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_335", + "improvement_over_parent": null + }, + "node_337": { + "node_id": "node_337", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.06 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.06213456495846, + "fos_buckling": 1.5222629304193065, + "fos_yielding": 2.0111338547055033, + "deflection": 0.004042957990189173, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_336", + "improvement_over_parent": null + }, + "node_338": { + "node_id": "node_338", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_337", + "improvement_over_parent": null + }, + "node_339": { + "node_id": "node_339", + "content": "INITIAL DESIGN (Trace 49)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 162.42 kg\n Factor of Safety: 0.63\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.4191957296608, + "fos_buckling": 0.6332257494551642, + "fos_yielding": 1.2993712043496741, + "deflection": 0.010382237083147621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_340": { + "node_id": "node_340", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n\nPerformance:\n Mass: 165.36 kg\n Factor of Safety: 0.93\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.35984009464698, + "fos_buckling": 0.9330882420581114, + "fos_yielding": 1.1381612952237627, + "deflection": 0.007112132383840161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001790)" + }, + "parent_node_id": "node_339", + "improvement_over_parent": null + }, + "node_341": { + "node_id": "node_341", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 199.33 kg\n Factor of Safety: 1.10\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": 199.33390038788897, + "fos_buckling": 1.1008784000621044, + "fos_yielding": 1.370950501811792, + "deflection": 0.005911649785879071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_340", + "improvement_over_parent": null + }, + "node_342": { + "node_id": "node_342", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 253.71 kg\n Factor of Safety: 1.35\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": 253.7097649964753, + "fos_buckling": 1.3527053894451064, + "fos_yielding": 1.7427901649275865, + "deflection": 0.004659352468472463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_341", + "improvement_over_parent": null + }, + "node_343": { + "node_id": "node_343", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20213627334033, + "fos_buckling": 1.5227925111622345, + "fos_yielding": 2.012280740523231, + "deflection": 0.004041010793715784, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_342", + "improvement_over_parent": null + }, + "node_344": { + "node_id": "node_344", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 50)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 136.56 kg\n Factor of Safety: 0.78\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.5625457893164, + "fos_buckling": 0.783817312771639, + "fos_yielding": 0.9947757158208128, + "deflection": 0.008625507692722143, + "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 all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 171.86 kg\n Factor of Safety: 0.96\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.85516374288187, + "fos_buckling": 0.9633447702113843, + "fos_yielding": 1.2502537925169774, + "deflection": 0.006867260871166238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_345", + "improvement_over_parent": null + }, + "node_347": { + "node_id": "node_347", + "content": "MODIFICATION: Increase 1 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 177.14 kg\n Factor of Safety: 0.97\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.14418045370456, + "fos_buckling": 0.9654086591614761, + "fos_yielding": 1.2683710307988185, + "deflection": 0.006582370544774809, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.333)" + }, + "parent_node_id": "node_346", + "improvement_over_parent": null + }, + "node_348": { + "node_id": "node_348", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 206.92 kg\n Factor of Safety: 1.11\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.9163565943755, + "fos_buckling": 1.1058680416004474, + "fos_yielding": 1.4801312332786951, + "deflection": 0.005645152089017313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_347", + "improvement_over_parent": null + }, + "node_349": { + "node_id": "node_349", + "content": "MODIFICATION: Increase 8 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 215.45 kg\n Factor of Safety: 1.18\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.4544275470714, + "fos_buckling": 1.1779149645441274, + "fos_yielding": 1.4813892511235103, + "deflection": 0.005474536402215001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.582)" + }, + "parent_node_id": "node_348", + "improvement_over_parent": null + }, + "node_350": { + "node_id": "node_350", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 255.85 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": 255.8515636769905, + "fos_buckling": 1.3624728841441451, + "fos_yielding": 1.757541864058863, + "deflection": 0.004620979379787782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_349", + "improvement_over_parent": null + }, + "node_351": { + "node_id": "node_351", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1140716641205, + "fos_buckling": 1.522715744040525, + "fos_yielding": 2.0118201175296835, + "deflection": 0.004042253602512132, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_350", + "improvement_over_parent": null + }, + "node_352": { + "node_id": "node_352", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_351", + "improvement_over_parent": null + }, + "node_353": { + "node_id": "node_353", + "content": "INITIAL DESIGN (Trace 51)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 141.06 kg\n Factor of Safety: 0.42\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": 141.0565241716974, + "fos_buckling": 0.42406174711838857, + "fos_yielding": 0.8103853314463345, + "deflection": 0.01623916872077863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_354": { + "node_id": "node_354", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 147.30 kg\n Factor of Safety: 0.42\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": 147.3028068389354, + "fos_buckling": 0.42387886270562847, + "fos_yielding": 0.8102769266878312, + "deflection": 0.01624470898250804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.319)" + }, + "parent_node_id": "node_353", + "improvement_over_parent": null + }, + "node_355": { + "node_id": "node_355", + "content": "MODIFICATION: Increase 6 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 149.91 kg\n Factor of Safety: 0.42\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": 149.91457431323374, + "fos_buckling": 0.42387886270562847, + "fos_yielding": 1.0389511738747546, + "deflection": 0.015786751234737505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.546)" + }, + "parent_node_id": "node_354", + "improvement_over_parent": null + }, + "node_356": { + "node_id": "node_356", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 184.51 kg\n Factor of Safety: 0.48\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.50630207489422, + "fos_buckling": 0.4770959851063111, + "fos_yielding": 1.437316810183406, + "deflection": 0.010851686686577816, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004757)" + }, + "parent_node_id": "node_355", + "improvement_over_parent": null + }, + "node_357": { + "node_id": "node_357", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 194.04 kg\n Factor of Safety: 0.48\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.0380255972402, + "fos_buckling": 0.47678295788271746, + "fos_yielding": 1.4792617186293975, + "deflection": 0.009239380985903553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.637)" + }, + "parent_node_id": "node_356", + "improvement_over_parent": null + }, + "node_358": { + "node_id": "node_358", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.25 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.24741547447115, + "fos_buckling": 0.5887715440010005, + "fos_yielding": 1.9019906524182013, + "deflection": 0.0071873862811089794, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_357", + "improvement_over_parent": null + }, + "node_359": { + "node_id": "node_359", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.45 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4454734119234, + "fos_buckling": 1.5236342564201113, + "fos_yielding": 2.013652750910346, + "deflection": 0.004037839073300187, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_358", + "improvement_over_parent": null + }, + "node_360": { + "node_id": "node_360", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_359", + "improvement_over_parent": null + }, + "node_361": { + "node_id": "node_361", + "content": "INITIAL DESIGN (Trace 52)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 200.66 kg\n Factor of Safety: 1.13\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.65509902698977, + "fos_buckling": 1.1299237348155309, + "fos_yielding": 1.416980347752327, + "deflection": 0.005942872354086788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_362": { + "node_id": "node_362", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 205.91 kg\n Factor of Safety: 1.13\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.90726813136231, + "fos_buckling": 1.1323850623805316, + "fos_yielding": 1.4159121370443848, + "deflection": 0.005725090212855996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.300)" + }, + "parent_node_id": "node_361", + "improvement_over_parent": null + }, + "node_363": { + "node_id": "node_363", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 249.75 kg\n Factor of Safety: 1.34\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": 249.75302057445333, + "fos_buckling": 1.3350411969100262, + "fos_yielding": 1.7157185535837616, + "deflection": 0.004732059818430059, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_362", + "improvement_over_parent": null + }, + "node_364": { + "node_id": "node_364", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.41 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.40605131789954, + "fos_buckling": 1.5236096693270456, + "fos_yielding": 2.013619257152901, + "deflection": 0.004038231522452144, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_363", + "improvement_over_parent": null + }, + "node_365": { + "node_id": "node_365", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_364", + "improvement_over_parent": null + }, + "node_366": { + "node_id": "node_366", + "content": "INITIAL DESIGN (Trace 53)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 167.92 kg\n Factor of Safety: 0.74\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.9168171028803, + "fos_buckling": 0.7449208118387899, + "fos_yielding": 0.947208443478586, + "deflection": 0.007428850261896087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_367": { + "node_id": "node_367", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 170.27 kg\n Factor of Safety: 0.74\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.2681920821636, + "fos_buckling": 0.7449208118387899, + "fos_yielding": 1.4872434890077992, + "deflection": 0.007428850261896087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_366", + "improvement_over_parent": null + }, + "node_368": { + "node_id": "node_368", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 190.38 kg\n Factor of Safety: 1.06\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.38395083232524, + "fos_buckling": 1.0574880128723914, + "fos_yielding": 1.3101219211074469, + "deflection": 0.006186327182719966, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003280)" + }, + "parent_node_id": "node_367", + "improvement_over_parent": null + }, + "node_369": { + "node_id": "node_369", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 226.29 kg\n Factor of Safety: 1.23\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.28859706195854, + "fos_buckling": 1.2283094867142876, + "fos_yielding": 1.5559305293282144, + "deflection": 0.005215645184394956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_368", + "improvement_over_parent": null + }, + "node_370": { + "node_id": "node_370", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2907282958875, + "fos_buckling": 1.5232041268509706, + "fos_yielding": 2.0135668534169957, + "deflection": 0.004039808701646969, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_369", + "improvement_over_parent": null + }, + "node_371": { + "node_id": "node_371", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 54)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 126.85 kg\n Factor of Safety: 1.33\n Max Deflection: 5.31e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.84833001601649, + "fos_buckling": 1.3281322897592904, + "fos_yielding": 0.40979663026328783, + "deflection": 531443111187719.94, + "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 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n\nPerformance:\n Mass: 149.11 kg\n Factor of Safety: 0.27\n Max Deflection: 4.16e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.11272405022723, + "fos_buckling": 0.2695788677032791, + "fos_yielding": 1.0467607407414632, + "deflection": 41609309607799.055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003531)" + }, + "parent_node_id": "node_372", + "improvement_over_parent": null + }, + "node_374": { + "node_id": "node_374", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 165.61 kg\n Factor of Safety: 0.38\n Max Deflection: 2.94e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.60649238813886, + "fos_buckling": 0.3779874193282366, + "fos_yielding": 1.2915741594734682, + "deflection": 0.02937056072867749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003190)" + }, + "parent_node_id": "node_373", + "improvement_over_parent": null + }, + "node_375": { + "node_id": "node_375", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n\nPerformance:\n Mass: 194.83 kg\n Factor of Safety: 0.74\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.82691792952596, + "fos_buckling": 0.7444811883952269, + "fos_yielding": 1.557161467527274, + "deflection": 0.00866469135451611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004045)" + }, + "parent_node_id": "node_374", + "improvement_over_parent": null + }, + "node_376": { + "node_id": "node_376", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 198.35 kg\n Factor of Safety: 1.10\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.3545444556857, + "fos_buckling": 1.0961390220920688, + "fos_yielding": 1.364209286666744, + "deflection": 0.005940522366164669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002169)" + }, + "parent_node_id": "node_375", + "improvement_over_parent": null + }, + "node_377": { + "node_id": "node_377", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 245.81 kg\n Factor of Safety: 1.32\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": 245.80750428530246, + "fos_buckling": 1.3173635040132747, + "fos_yielding": 1.688764956894931, + "deflection": 0.004806954925331795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_376", + "improvement_over_parent": null + }, + "node_378": { + "node_id": "node_378", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2549415968825, + "fos_buckling": 1.5229942744689002, + "fos_yielding": 2.01258946779739, + "deflection": 0.004040311109379114, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_377", + "improvement_over_parent": null + }, + "node_379": { + "node_id": "node_379", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_378", + "improvement_over_parent": null + }, + "node_380": { + "node_id": "node_380", + "content": "INITIAL DESIGN (Trace 55)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\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_381": { + "node_id": "node_381", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 232.55 kg\n Factor of Safety: 0.92\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": 232.5463879941599, + "fos_buckling": 0.9225573836696975, + "fos_yielding": 1.8047976809539932, + "deflection": 0.005863682204315246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004784)" + }, + "parent_node_id": "node_380", + "improvement_over_parent": null + }, + "node_382": { + "node_id": "node_382", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 259.08 kg\n Factor of Safety: 1.01\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.08114763710154, + "fos_buckling": 1.0071674251205638, + "fos_yielding": 2.0087258061790547, + "deflection": 0.005270384768790275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_381", + "improvement_over_parent": null + }, + "node_383": { + "node_id": "node_383", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 262.55 kg\n Factor of Safety: 1.01\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.54727931574786, + "fos_buckling": 1.0069282108427984, + "fos_yielding": 1.9982834763114077, + "deflection": 0.005234943519566128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.182)" + }, + "parent_node_id": "node_382", + "improvement_over_parent": null + }, + "node_384": { + "node_id": "node_384", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 288.44 kg\n Factor of Safety: 1.52\n Max Deflection: 4.13e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 288.44471645813763, + "fos_buckling": 1.5210144412295818, + "fos_yielding": 2.01322304441164, + "deflection": 0.004131360591983968, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_383", + "improvement_over_parent": null + }, + "node_385": { + "node_id": "node_385", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20491540057594, + "fos_buckling": 1.5228375885666032, + "fos_yielding": 2.0122833417581916, + "deflection": 0.0040410352880926, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.179)" + }, + "parent_node_id": "node_384", + "improvement_over_parent": null + }, + "node_386": { + "node_id": "node_386", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_385", + "improvement_over_parent": null + }, + "node_387": { + "node_id": "node_387", + "content": "INITIAL DESIGN (Trace 56)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 194.49 kg\n Factor of Safety: 0.88\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.49496210910235, + "fos_buckling": 0.8773685155263411, + "fos_yielding": 1.3158432930945616, + "deflection": 0.00632284336250947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_388": { + "node_id": "node_388", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 196.58 kg\n Factor of Safety: 0.88\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.58431020215545, + "fos_buckling": 0.8773685155263411, + "fos_yielding": 1.7631526097144752, + "deflection": 0.00632284336250947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.391)" + }, + "parent_node_id": "node_387", + "improvement_over_parent": null + }, + "node_389": { + "node_id": "node_389", + "content": "MODIFICATION: Increase 3 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 197.97 kg\n Factor of Safety: 0.88\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": 197.97124154020753, + "fos_buckling": 0.8773685155263415, + "fos_yielding": 1.7955848997348987, + "deflection": 0.006266294015329014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.359)" + }, + "parent_node_id": "node_388", + "improvement_over_parent": null + }, + "node_390": { + "node_id": "node_390", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 252.71 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": 252.7060418390842, + "fos_buckling": 1.0730154155210134, + "fos_yielding": 2.288587850647541, + "deflection": 0.004929441766862222, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_389", + "improvement_over_parent": null + }, + "node_391": { + "node_id": "node_391", + "content": "MODIFICATION: Increase 8 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.22 kg\n Factor of Safety: 1.07\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.21706031435144, + "fos_buckling": 1.0723160836489307, + "fos_yielding": 2.2872357331597293, + "deflection": 0.004932397718511126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.486)" + }, + "parent_node_id": "node_390", + "improvement_over_parent": null + }, + "node_392": { + "node_id": "node_392", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 286.60 kg\n Factor of Safety: 1.45\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": 286.5985322751835, + "fos_buckling": 1.4501687082120864, + "fos_yielding": 2.011510777745422, + "deflection": 0.004113006537090569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_391", + "improvement_over_parent": null + }, + "node_393": { + "node_id": "node_393", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.15359987264935, + "fos_buckling": 1.5226286527634358, + "fos_yielding": 2.0124849338868818, + "deflection": 0.004041700641591789, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.372)" + }, + "parent_node_id": "node_392", + "improvement_over_parent": null + }, + "node_394": { + "node_id": "node_394", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_393", + "improvement_over_parent": null + }, + "node_395": { + "node_id": "node_395", + "content": "INITIAL DESIGN (Trace 57)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 170.27 kg\n Factor of Safety: 0.74\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.26594857340157, + "fos_buckling": 0.738564261526288, + "fos_yielding": 1.1943356297769971, + "deflection": 0.007634925976392708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_396": { + "node_id": "node_396", + "content": "MODIFICATION: Increase 3 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 171.97 kg\n Factor of Safety: 0.74\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.9659454290551, + "fos_buckling": 0.7385642615262882, + "fos_yielding": 1.2546541975267023, + "deflection": 0.007499804148449052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.634)" + }, + "parent_node_id": "node_395", + "improvement_over_parent": null + }, + "node_397": { + "node_id": "node_397", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 190.54 kg\n Factor of Safety: 0.81\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.54322024550703, + "fos_buckling": 0.807699716500943, + "fos_yielding": 1.3913358197352073, + "deflection": 0.006776777027517767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_396", + "improvement_over_parent": null + }, + "node_398": { + "node_id": "node_398", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 224.47 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": 224.4673786620954, + "fos_buckling": 0.9286713294093105, + "fos_yielding": 1.6416178635942955, + "deflection": 0.005765278272133194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_397", + "improvement_over_parent": null + }, + "node_399": { + "node_id": "node_399", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 225.68 kg\n Factor of Safety: 0.93\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.68032726338916, + "fos_buckling": 0.9286713294093105, + "fos_yielding": 1.9199318350057024, + "deflection": 0.005765278272133194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.183)" + }, + "parent_node_id": "node_398", + "improvement_over_parent": null + }, + "node_400": { + "node_id": "node_400", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 246.14 kg\n Factor of Safety: 1.32\n Max Deflection: 4.80e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.13872723683065, + "fos_buckling": 1.3188049575308398, + "fos_yielding": 1.6904885591994216, + "deflection": 0.004800524942551173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004017)" + }, + "parent_node_id": "node_399", + "improvement_over_parent": null + }, + "node_401": { + "node_id": "node_401", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.42 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4225451663807, + "fos_buckling": 1.5236351413186877, + "fos_yielding": 2.0131020501551955, + "deflection": 0.004037998053962483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_400", + "improvement_over_parent": null + }, + "node_402": { + "node_id": "node_402", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_401", + "improvement_over_parent": null + }, + "node_403": { + "node_id": "node_403", + "content": "INITIAL DESIGN (Trace 58)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n\nPerformance:\n Mass: 143.63 kg\n Factor of Safety: 0.34\n Max Deflection: 3.53e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.6269402035749, + "fos_buckling": 0.33866765044652053, + "fos_yielding": 0.7124062422931384, + "deflection": 0.03526174896137418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_404": { + "node_id": "node_404", + "content": "MODIFICATION: Increase 5 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n\nPerformance:\n Mass: 145.32 kg\n Factor of Safety: 0.34\n Max Deflection: 3.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.32058762862485, + "fos_buckling": 0.33866765044652053, + "fos_yielding": 0.9805072845682558, + "deflection": 0.03483996392461045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.397)" + }, + "parent_node_id": "node_403", + "improvement_over_parent": null + }, + "node_405": { + "node_id": "node_405", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 173.02 kg\n Factor of Safety: 0.69\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.02153861919192, + "fos_buckling": 0.6898740044797055, + "fos_yielding": 1.4310343643715457, + "deflection": 0.0094283494173305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003756)" + }, + "parent_node_id": "node_404", + "improvement_over_parent": null + }, + "node_406": { + "node_id": "node_406", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 213.51 kg\n Factor of Safety: 0.83\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.50601588051006, + "fos_buckling": 0.8290711780475571, + "fos_yielding": 1.7634666325608224, + "deflection": 0.0076537660833090075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_405", + "improvement_over_parent": null + }, + "node_407": { + "node_id": "node_407", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 250.16 kg\n Factor of Safety: 0.95\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.1618793974245, + "fos_buckling": 0.9479085767775155, + "fos_yielding": 2.0636392338020646, + "deflection": 0.006542575944960997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_406", + "improvement_over_parent": null + }, + "node_408": { + "node_id": "node_408", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 258.54 kg\n Factor of Safety: 0.95\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.5382965323349, + "fos_buckling": 0.948740359469728, + "fos_yielding": 2.0628212778147788, + "deflection": 0.006542487222542151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.468)" + }, + "parent_node_id": "node_407", + "improvement_over_parent": null + }, + "node_409": { + "node_id": "node_409", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 263.22 kg\n Factor of Safety: 1.39\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": 263.2171775000867, + "fos_buckling": 1.39460018391949, + "fos_yielding": 1.8079126030193706, + "deflection": 0.004493406398858365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002937)" + }, + "parent_node_id": "node_408", + "improvement_over_parent": null + }, + "node_410": { + "node_id": "node_410", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.39580240730334, + "fos_buckling": 1.5235577753984408, + "fos_yielding": 2.0138230568434254, + "deflection": 0.004038274508279764, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_409", + "improvement_over_parent": null + }, + "node_411": { + "node_id": "node_411", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_410", + "improvement_over_parent": null + }, + "node_412": { + "node_id": "node_412", + "content": "INITIAL DESIGN (Trace 59)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 167.84 kg\n Factor of Safety: 0.74\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.84257066276297, + "fos_buckling": 0.73558758925231, + "fos_yielding": 1.4655437525535695, + "deflection": 0.007534942706538458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_413": { + "node_id": "node_413", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n\nPerformance:\n Mass: 181.18 kg\n Factor of Safety: 0.99\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": 181.18261845560474, + "fos_buckling": 0.9926079040434992, + "fos_yielding": 1.3108389894542423, + "deflection": 0.006430145607610685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002134)" + }, + "parent_node_id": "node_412", + "improvement_over_parent": null + }, + "node_414": { + "node_id": "node_414", + "content": "MODIFICATION: Increase 9 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0059)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n\nPerformance:\n Mass: 194.62 kg\n Factor of Safety: 1.05\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": 194.6160929183976, + "fos_buckling": 1.0531425586867396, + "fos_yielding": 1.3347471254374978, + "deflection": 0.006014689714148508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.513)" + }, + "parent_node_id": "node_413", + "improvement_over_parent": null + }, + "node_415": { + "node_id": "node_415", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0074)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n\nPerformance:\n Mass: 241.60 kg\n Factor of Safety: 1.27\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": 241.59587616560347, + "fos_buckling": 1.2709594841214575, + "fos_yielding": 1.6569304460970544, + "deflection": 0.004856838113931358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_414", + "improvement_over_parent": null + }, + "node_416": { + "node_id": "node_416", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0095)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 303.06 kg\n Factor of Safety: 1.53\n Max Deflection: 3.88e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.06232442553124, + "fos_buckling": 1.5347700706228296, + "fos_yielding": 2.0786050870468507, + "deflection": 0.0038839504831066126, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_415", + "improvement_over_parent": null + }, + "node_417": { + "node_id": "node_417", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_416", + "improvement_over_parent": null + }, + "node_418": { + "node_id": "node_418", + "content": "INITIAL DESIGN (Trace 60)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 187.80 kg\n Factor of Safety: 0.73\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": 187.80317812787777, + "fos_buckling": 0.7332780557304707, + "fos_yielding": 1.5317929260715069, + "deflection": 0.008806118412356961, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_419": { + "node_id": "node_419", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 219.91 kg\n Factor of Safety: 0.84\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.90581500176978, + "fos_buckling": 0.8409283531970603, + "fos_yielding": 1.7916342528520104, + "deflection": 0.0075302169783233635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_418", + "improvement_over_parent": null + }, + "node_420": { + "node_id": "node_420", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.33 kg\n Factor of Safety: 1.04\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": 282.3257439441256, + "fos_buckling": 1.0356293348722694, + "fos_yielding": 2.2951529649565914, + "deflection": 0.005880106596442266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_419", + "improvement_over_parent": null + }, + "node_421": { + "node_id": "node_421", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 287.96 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.95979374145, + "fos_buckling": 1.0365374119328656, + "fos_yielding": 2.2956392846178697, + "deflection": 0.005880027011568571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.227)" + }, + "parent_node_id": "node_420", + "improvement_over_parent": null + }, + "node_422": { + "node_id": "node_422", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.17 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1736237752641, + "fos_buckling": 1.5227527423284115, + "fos_yielding": 2.012203986989583, + "deflection": 0.004041301875944956, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_421", + "improvement_over_parent": null + }, + "node_423": { + "node_id": "node_423", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_422", + "improvement_over_parent": null + }, + "node_424": { + "node_id": "node_424", + "content": "INITIAL DESIGN (Trace 61)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 204.39 kg\n Factor of Safety: 0.78\n Max Deflection: 8.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.3857665407685, + "fos_buckling": 0.7763355179907765, + "fos_yielding": 1.6331565121901235, + "deflection": 0.008261961362971105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_425": { + "node_id": "node_425", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 245.63 kg\n Factor of Safety: 0.91\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.62994552091465, + "fos_buckling": 0.9088446333717651, + "fos_yielding": 1.9604206978649867, + "deflection": 0.006884093524178599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_424", + "improvement_over_parent": null + }, + "node_426": { + "node_id": "node_426", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.12 kg\n Factor of Safety: 1.04\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": 288.1158348475752, + "fos_buckling": 1.036944049396849, + "fos_yielding": 2.2967366301854333, + "deflection": 0.00587722414272396, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_425", + "improvement_over_parent": null + }, + "node_427": { + "node_id": "node_427", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.33 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.32966488138925, + "fos_buckling": 1.5233017438443237, + "fos_yielding": 2.0131804507720252, + "deflection": 0.004039340752468573, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_426", + "improvement_over_parent": null + }, + "node_428": { + "node_id": "node_428", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_427", + "improvement_over_parent": null + }, + "node_429": { + "node_id": "node_429", + "content": "INITIAL DESIGN (Trace 62)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 121.23 kg\n Factor of Safety: 0.41\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.23171469494943, + "fos_buckling": 0.40673448849201277, + "fos_yielding": 1.2562004751100615, + "deflection": 0.012260721690687237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_430": { + "node_id": "node_430", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 146.59 kg\n Factor of Safety: 0.49\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": 146.59475351872146, + "fos_buckling": 0.486532617271233, + "fos_yielding": 1.517840394556294, + "deflection": 0.010149362435724054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_429", + "improvement_over_parent": null + }, + "node_431": { + "node_id": "node_431", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 173.07 kg\n Factor of Safety: 0.57\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.06949409247878, + "fos_buckling": 0.5678711675897579, + "fos_yielding": 1.790479514689508, + "deflection": 0.008605288331570251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_430", + "improvement_over_parent": null + }, + "node_432": { + "node_id": "node_432", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 198.85 kg\n Factor of Safety: 0.88\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.84954817839505, + "fos_buckling": 0.875788072372083, + "fos_yielding": 1.7904795146895087, + "deflection": 0.006549791126293086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004129)" + }, + "parent_node_id": "node_431", + "improvement_over_parent": null + }, + "node_433": { + "node_id": "node_433", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 217.95 kg\n Factor of Safety: 0.95\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": 217.94659688359076, + "fos_buckling": 0.9533663237468355, + "fos_yielding": 1.579152837406844, + "deflection": 0.005538176161749045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003730)" + }, + "parent_node_id": "node_432", + "improvement_over_parent": null + }, + "node_434": { + "node_id": "node_434", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 229.97 kg\n Factor of Safety: 0.95\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": 229.97285396457207, + "fos_buckling": 0.9502848465660495, + "fos_yielding": 1.5583728863076978, + "deflection": 0.005432552985769445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.555)" + }, + "parent_node_id": "node_433", + "improvement_over_parent": null + }, + "node_435": { + "node_id": "node_435", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0081)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.19\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.285662738275, + "fos_buckling": 1.1859785660841458, + "fos_yielding": 1.987415493866412, + "deflection": 0.004265731895354539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_434", + "improvement_over_parent": null + }, + "node_436": { + "node_id": "node_436", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_435", + "improvement_over_parent": null + }, + "node_437": { + "node_id": "node_437", + "content": "INITIAL DESIGN (Trace 63)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 132.02 kg\n Factor of Safety: 0.52\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": 132.0197034113801, + "fos_buckling": 0.5203054776347033, + "fos_yielding": 0.7687794209023399, + "deflection": 0.014366504899786489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_438": { + "node_id": "node_438", + "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 136.37 kg\n Factor of Safety: 0.55\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.36547836705705, + "fos_buckling": 0.547979415812871, + "fos_yielding": 0.748504889995124, + "deflection": 0.012704693434779217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.546)" + }, + "parent_node_id": "node_437", + "improvement_over_parent": null + }, + "node_439": { + "node_id": "node_439", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 173.25 kg\n Factor of Safety: 0.68\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": 173.2546457937294, + "fos_buckling": 0.6800993724063505, + "fos_yielding": 0.9536003664860827, + "deflection": 0.010008244367014621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_438", + "improvement_over_parent": null + }, + "node_440": { + "node_id": "node_440", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 215.86 kg\n Factor of Safety: 0.82\n Max Deflection: 8.04e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.86272009166646, + "fos_buckling": 0.8242423474670787, + "fos_yielding": 1.1921375822876066, + "deflection": 0.008040563058250419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_439", + "improvement_over_parent": null + }, + "node_441": { + "node_id": "node_441", + "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 222.45 kg\n Factor of Safety: 0.85\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.44514942233278, + "fos_buckling": 0.847307355312892, + "fos_yielding": 1.1761198810852906, + "deflection": 0.0075020012088211265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.353)" + }, + "parent_node_id": "node_440", + "improvement_over_parent": null + }, + "node_442": { + "node_id": "node_442", + "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 225.18 kg\n Factor of Safety: 0.84\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.18226503686589, + "fos_buckling": 0.8441651669959204, + "fos_yielding": 1.7980960620131057, + "deflection": 0.007504101355321461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.580)" + }, + "parent_node_id": "node_441", + "improvement_over_parent": null + }, + "node_443": { + "node_id": "node_443", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 229.26 kg\n Factor of Safety: 1.24\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.2604140553709, + "fos_buckling": 1.2420157460613181, + "fos_yielding": 1.5755468794281178, + "deflection": 0.005148897994576708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002532)" + }, + "parent_node_id": "node_442", + "improvement_over_parent": null + }, + "node_444": { + "node_id": "node_444", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 292.97 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.96677126604385, + "fos_buckling": 1.5218141652808428, + "fos_yielding": 2.010472393624665, + "deflection": 0.004044178635178874, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_443", + "improvement_over_parent": null + }, + "node_445": { + "node_id": "node_445", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_444", + "improvement_over_parent": null + }, + "node_446": { + "node_id": "node_446", + "content": "INITIAL DESIGN (Trace 64)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 155.96 kg\n Factor of Safety: 0.75\n Max Deflection: 6.41e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.95804012418716, + "fos_buckling": 0.7492004949855078, + "fos_yielding": 1.3269419941453462, + "deflection": 641348444498.1412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_447": { + "node_id": "node_447", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 159.59 kg\n Factor of Safety: 0.75\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": 159.59271737002288, + "fos_buckling": 0.7453577141407738, + "fos_yielding": 1.3269419941453462, + "deflection": 0.008859810767901299, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002239)" + }, + "parent_node_id": "node_446", + "improvement_over_parent": null + }, + "node_448": { + "node_id": "node_448", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 190.61 kg\n Factor of Safety: 0.87\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.60718752880774, + "fos_buckling": 0.8675325239288528, + "fos_yielding": 1.587511811643904, + "deflection": 0.007433306209277649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_447", + "improvement_over_parent": null + }, + "node_449": { + "node_id": "node_449", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 229.08 kg\n Factor of Safety: 1.01\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.07812520740774, + "fos_buckling": 1.009010238679414, + "fos_yielding": 1.9122248534324662, + "deflection": 0.006200461363005992, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_448", + "improvement_over_parent": null + }, + "node_450": { + "node_id": "node_450", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 254.98 kg\n Factor of Safety: 1.07\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.9755623497975, + "fos_buckling": 1.0728136056238284, + "fos_yielding": 1.9122248534324662, + "deflection": 0.00495410671093762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_449", + "improvement_over_parent": null + }, + "node_451": { + "node_id": "node_451", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0065)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 261.27 kg\n Factor of Safety: 1.07\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": 261.2684713278941, + "fos_buckling": 1.0723510058420187, + "fos_yielding": 1.9122248534324662, + "deflection": 0.004900431435613284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.215)" + }, + "parent_node_id": "node_450", + "improvement_over_parent": null + }, + "node_452": { + "node_id": "node_452", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0065)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 266.88 kg\n Factor of Safety: 1.07\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": 266.8780459604434, + "fos_buckling": 1.071938975030921, + "fos_yielding": 1.9122248534324662, + "deflection": 0.004804047533535848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.217)" + }, + "parent_node_id": "node_451", + "improvement_over_parent": null + }, + "node_453": { + "node_id": "node_453", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0065)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 297.86 kg\n Factor of Safety: 1.42\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": 297.8565920095198, + "fos_buckling": 1.417545703295874, + "fos_yielding": 1.6915928517192371, + "deflection": 0.004034948563687034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_452", + "improvement_over_parent": null + }, + "node_454": { + "node_id": "node_454", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 65)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, 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_456": { + "node_id": "node_456", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 159.45 kg\n Factor of Safety: 0.70\n Max Deflection: 1.02e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.4533055856933, + "fos_buckling": 0.6985067775470347, + "fos_yielding": 1.1765815208375565, + "deflection": 10221407576560.762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003653)" + }, + "parent_node_id": "node_455", + "improvement_over_parent": null + }, + "node_457": { + "node_id": "node_457", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 207.88 kg\n Factor of Safety: 0.50\n Max Deflection: 6.49e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.88027950025645, + "fos_buckling": 0.4955379689310072, + "fos_yielding": 1.1253073712763755, + "deflection": 6492522113335.763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_456", + "improvement_over_parent": null + }, + "node_458": { + "node_id": "node_458", + "content": "MODIFICATION: Increase 5 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 209.49 kg\n Factor of Safety: 0.50\n Max Deflection: 6.49e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.48971537741593, + "fos_buckling": 0.4955379689310072, + "fos_yielding": 1.1253073712763755, + "deflection": 6492522113335.763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.258)" + }, + "parent_node_id": "node_457", + "improvement_over_parent": null + }, + "node_459": { + "node_id": "node_459", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 215.14 kg\n Factor of Safety: 0.99\n Max Deflection: 5.49e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.14267644707766, + "fos_buckling": 0.9910759378620144, + "fos_yielding": 1.9136392152642672, + "deflection": 5494998177042.582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.211)" + }, + "parent_node_id": "node_458", + "improvement_over_parent": null + }, + "node_460": { + "node_id": "node_460", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 246.12 kg\n Factor of Safety: 0.52\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.12122249615402, + "fos_buckling": 0.5218708892287559, + "fos_yielding": 1.3152808967126275, + "deflection": 0.007820161520314579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_459", + "improvement_over_parent": null + }, + "node_461": { + "node_id": "node_461", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 290.70 kg\n Factor of Safety: 1.42\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.7031536640999, + "fos_buckling": 1.4221207041598083, + "fos_yielding": 1.6972364009225456, + "deflection": 0.004119010530855328, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_460", + "improvement_over_parent": null + }, + "node_462": { + "node_id": "node_462", + "content": "MODIFICATION: Increase 6 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0094)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 310.39 kg\n Factor of Safety: 1.42\n Max Deflection: 3.89e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 310.38635220934924, + "fos_buckling": 1.420119780638111, + "fos_yielding": 1.694848389675291, + "deflection": 0.00389468481367337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.529)" + }, + "parent_node_id": "node_461", + "improvement_over_parent": null + }, + "node_463": { + "node_id": "node_463", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_462", + "improvement_over_parent": null + }, + "node_464": { + "node_id": "node_464", + "content": "INITIAL DESIGN (Trace 66)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 156.29 kg\n Factor of Safety: 0.22\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.28685252851426, + "fos_buckling": 0.22180045549336513, + "fos_yielding": 1.0116853529493244, + "deflection": 0.013322977136626855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_465": { + "node_id": "node_465", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 158.21 kg\n Factor of Safety: 0.26\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": 158.20506330465884, + "fos_buckling": 0.2642484916269307, + "fos_yielding": 1.0793184397959763, + "deflection": 0.01245461560112708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.215)" + }, + "parent_node_id": "node_464", + "improvement_over_parent": null + }, + "node_466": { + "node_id": "node_466", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 188.91 kg\n Factor of Safety: 0.31\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": 188.9067245385821, + "fos_buckling": 0.3113403235103584, + "fos_yielding": 1.2867075736284823, + "deflection": 0.010438886385572292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_465", + "improvement_over_parent": null + }, + "node_467": { + "node_id": "node_467", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 231.62 kg\n Factor of Safety: 0.37\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.62234852173762, + "fos_buckling": 0.3745904926620666, + "fos_yielding": 1.5740531061558076, + "deflection": 0.008522741236724267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_466", + "improvement_over_parent": null + }, + "node_468": { + "node_id": "node_468", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 239.49 kg\n Factor of Safety: 0.52\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.49006907789033, + "fos_buckling": 0.5221873273424211, + "fos_yielding": 1.5732595158220355, + "deflection": 0.00760475056087761, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.522)" + }, + "parent_node_id": "node_467", + "improvement_over_parent": null + }, + "node_469": { + "node_id": "node_469", + "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.70 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.6977531274202, + "fos_buckling": 0.5218575433627988, + "fos_yielding": 1.572950150111784, + "deflection": 0.007518076469098216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.605)" + }, + "parent_node_id": "node_468", + "improvement_over_parent": null + }, + "node_470": { + "node_id": "node_470", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.28 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2796842953661, + "fos_buckling": 1.523041823665198, + "fos_yielding": 2.012813356217718, + "deflection": 0.00403999167559032, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_469", + "improvement_over_parent": null + }, + "node_471": { + "node_id": "node_471", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_470", + "improvement_over_parent": null + }, + "node_472": { + "node_id": "node_472", + "content": "INITIAL DESIGN (Trace 67)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_473": { + "node_id": "node_473", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 267.18 kg\n Factor of Safety: 1.07\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": 267.17663069145954, + "fos_buckling": 1.0721042093965394, + "fos_yielding": 2.2328869769230715, + "deflection": 0.0048983488153605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_472", + "improvement_over_parent": null + }, + "node_474": { + "node_id": "node_474", + "content": "MODIFICATION: Increase 3 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 268.84 kg\n Factor of Safety: 1.07\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": 268.83942725118555, + "fos_buckling": 1.0721042093965396, + "fos_yielding": 2.287134244823017, + "deflection": 0.004852882629619643, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.339)" + }, + "parent_node_id": "node_473", + "improvement_over_parent": null + }, + "node_475": { + "node_id": "node_475", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n\nPerformance:\n Mass: 287.00 kg\n Factor of Safety: 1.47\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": 287.0027074154906, + "fos_buckling": 1.4741067373484669, + "fos_yielding": 2.0323678541398547, + "deflection": 0.00410406831341442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003535)" + }, + "parent_node_id": "node_474", + "improvement_over_parent": null + }, + "node_476": { + "node_id": "node_476", + "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0053)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n\nPerformance:\n Mass: 289.32 kg\n Factor of Safety: 1.47\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": 289.3207080401551, + "fos_buckling": 1.472877919474991, + "fos_yielding": 2.0328648864633645, + "deflection": 0.004068914172087718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.376)" + }, + "parent_node_id": "node_475", + "improvement_over_parent": null + }, + "node_477": { + "node_id": "node_477", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_476", + "improvement_over_parent": null + }, + "node_478": { + "node_id": "node_478", + "content": "INITIAL DESIGN (Trace 68)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 169.92 kg\n Factor of Safety: 1.30\n Max Deflection: 2.10e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.9182246543196, + "fos_buckling": 1.3043751986521124, + "fos_yielding": 1.5099955463011967, + "deflection": 21012136284973.344, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_479": { + "node_id": "node_479", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 171.65 kg\n Factor of Safety: 1.60\n Max Deflection: 2.10e+13 m\n Status: FEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 171.65071772715487, + "fos_buckling": 1.5992379812981232, + "fos_yielding": 1.9076761821491073, + "deflection": 21012136284973.344, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.284)" + }, + "parent_node_id": "node_478", + "improvement_over_parent": null + }, + "node_480": { + "node_id": "node_480", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 206.17 kg\n Factor of Safety: 0.37\n Max Deflection: 5.05e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.17463906822147, + "fos_buckling": 0.37432561123586855, + "fos_yielding": 0.6505518131703747, + "deflection": 50453566507866.766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_479", + "improvement_over_parent": null + }, + "node_481": { + "node_id": "node_481", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 237.15 kg\n Factor of Safety: 0.52\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.15318511729782, + "fos_buckling": 0.5222699224268942, + "fos_yielding": 1.5736416638686124, + "deflection": 0.007512666019807047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_480", + "improvement_over_parent": null + }, + "node_482": { + "node_id": "node_482", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.77 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.7695573232063, + "fos_buckling": 0.5218538046253002, + "fos_yielding": 1.5732512751640884, + "deflection": 0.007517321994782511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.543)" + }, + "parent_node_id": "node_481", + "improvement_over_parent": null + }, + "node_483": { + "node_id": "node_483", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.35148849115217, + "fos_buckling": 1.5230368712157267, + "fos_yielding": 2.0131998522168333, + "deflection": 0.004038990543230317, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_482", + "improvement_over_parent": null + }, + "node_484": { + "node_id": "node_484", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 69)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 256.86 kg\n Factor of Safety: 1.23\n Max Deflection: 4.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.86427306195054, + "fos_buckling": 1.2317726014434325, + "fos_yielding": 1.8196986409211473, + "deflection": 0.004600704918207222, + "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 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 258.56 kg\n Factor of Safety: 1.30\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.5644576517328, + "fos_buckling": 1.2988178672289492, + "fos_yielding": 1.8203093733143716, + "deflection": 0.004551302650201568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.395)" + }, + "parent_node_id": "node_485", + "improvement_over_parent": null + }, + "node_487": { + "node_id": "node_487", + "content": "MODIFICATION: Increase 2 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 265.23 kg\n Factor of Safety: 1.40\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": 265.2253249130681, + "fos_buckling": 1.4033501566752478, + "fos_yielding": 1.8213428297362007, + "deflection": 0.004460129648466166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.431)" + }, + "parent_node_id": "node_486", + "improvement_over_parent": null + }, + "node_488": { + "node_id": "node_488", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2207709319319, + "fos_buckling": 1.5228070992851754, + "fos_yielding": 2.0123231602004688, + "deflection": 0.0040408460774084675, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_487", + "improvement_over_parent": null + }, + "node_489": { + "node_id": "node_489", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_488", + "improvement_over_parent": null + }, + "node_490": { + "node_id": "node_490", + "content": "INITIAL DESIGN (Trace 70)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 150.83 kg\n Factor of Safety: 0.75\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.82772075267837, + "fos_buckling": 0.7466733099367583, + "fos_yielding": 1.0939143770729514, + "deflection": 0.007835318990726444, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_491": { + "node_id": "node_491", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 173.04 kg\n Factor of Safety: 0.85\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": 173.0384705876947, + "fos_buckling": 0.8473178679659156, + "fos_yielding": 1.2540087481180624, + "deflection": 0.006837686729052819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_490", + "improvement_over_parent": null + }, + "node_492": { + "node_id": "node_492", + "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 178.32 kg\n Factor of Safety: 0.96\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.320937963028, + "fos_buckling": 0.958652079712014, + "fos_yielding": 1.269260677397062, + "deflection": 0.00656252707089256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.248)" + }, + "parent_node_id": "node_491", + "improvement_over_parent": null + }, + "node_493": { + "node_id": "node_493", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 199.15 kg\n Factor of Safety: 1.06\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.14717140071153, + "fos_buckling": 1.0605579593695176, + "fos_yielding": 1.4166127821587338, + "deflection": 0.005883460187300468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_492", + "improvement_over_parent": null + }, + "node_494": { + "node_id": "node_494", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 248.38 kg\n Factor of Safety: 1.29\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": 248.37738263191181, + "fos_buckling": 1.2931343352785245, + "fos_yielding": 1.764160730461641, + "deflection": 0.004731014029519776, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_493", + "improvement_over_parent": null + }, + "node_495": { + "node_id": "node_495", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 254.13 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": 254.12576440702426, + "fos_buckling": 1.354703956357492, + "fos_yielding": 1.7455785719932484, + "deflection": 0.0046518385600788905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.404)" + }, + "parent_node_id": "node_494", + "improvement_over_parent": null + }, + "node_496": { + "node_id": "node_496", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.45 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4474646749327, + "fos_buckling": 1.5239755447106706, + "fos_yielding": 2.0138933738219804, + "deflection": 0.004037690701003502, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_495", + "improvement_over_parent": null + }, + "node_497": { + "node_id": "node_497", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_496", + "improvement_over_parent": null + }, + "node_498": { + "node_id": "node_498", + "content": "INITIAL DESIGN (Trace 71)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 240.22 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": 240.22290418895741, + "fos_buckling": 0.9288154881788182, + "fos_yielding": 1.0505954749724218, + "deflection": 0.007183166154230336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_499": { + "node_id": "node_499", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 244.77 kg\n Factor of Safety: 0.83\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.77099197360997, + "fos_buckling": 0.830569331304498, + "fos_yielding": 0.9293918083671665, + "deflection": 0.005030679523048964, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002848)" + }, + "parent_node_id": "node_498", + "improvement_over_parent": null + }, + "node_500": { + "node_id": "node_500", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 251.60 kg\n Factor of Safety: 0.84\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": 251.6028893098246, + "fos_buckling": 0.8426487274262198, + "fos_yielding": 0.9429084304990215, + "deflection": 0.004820651605731563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.311)" + }, + "parent_node_id": "node_499", + "improvement_over_parent": null + }, + "node_501": { + "node_id": "node_501", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 288.51 kg\n Factor of Safety: 0.96\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": 288.50806391446775, + "fos_buckling": 0.9600764116060448, + "fos_yielding": 1.0868492403170575, + "deflection": 0.004211126623944516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_500", + "improvement_over_parent": null + }, + "node_502": { + "node_id": "node_502", + "content": "MODIFICATION: Increase 6 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0099)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 310.76 kg\n Factor of Safety: 0.96\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": 310.75784961423625, + "fos_buckling": 0.9588245013766593, + "fos_yielding": 1.0854320222026401, + "deflection": 0.003972801275699267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.603)" + }, + "parent_node_id": "node_501", + "improvement_over_parent": null + }, + "node_503": { + "node_id": "node_503", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0122)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 323.41 kg\n Factor of Safety: 0.96\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": 323.4109953389124, + "fos_buckling": 0.9583434463966337, + "fos_yielding": 1.0848874465487952, + "deflection": 0.0038910483777184076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.239)" + }, + "parent_node_id": "node_502", + "improvement_over_parent": null + }, + "node_504": { + "node_id": "node_504", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 72)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0015)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0012)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0021)]\n\nPerformance:\n Mass: 84.54 kg\n Factor of Safety: 0.24\n Max Deflection: 2.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 84.5354804475845, + "fos_buckling": 0.23533585912984192, + "fos_yielding": 0.6797170968639558, + "deflection": 0.023275364033339855, + "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: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 95.26 kg\n Factor of Safety: 0.26\n Max Deflection: 2.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 95.26254356131932, + "fos_buckling": 0.2630563078769235, + "fos_yielding": 0.7654495453002801, + "deflection": 0.020659098029354686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_505", + "improvement_over_parent": null + }, + "node_507": { + "node_id": "node_507", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0013)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0023)]\n\nPerformance:\n Mass: 112.51 kg\n Factor of Safety: 0.64\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 112.5067246515092, + "fos_buckling": 0.6399928832818385, + "fos_yielding": 0.8060356081354214, + "deflection": 0.010324557900622028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.002330)" + }, + "parent_node_id": "node_506", + "improvement_over_parent": null + }, + "node_508": { + "node_id": "node_508", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n\nPerformance:\n Mass: 131.14 kg\n Factor of Safety: 0.74\n Max Deflection: 8.87e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.1408071646624, + "fos_buckling": 0.7372588517139145, + "fos_yielding": 0.9389912672877612, + "deflection": 0.008867298576108755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_507", + "improvement_over_parent": null + }, + "node_509": { + "node_id": "node_509", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0015)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n\nPerformance:\n Mass: 138.60 kg\n Factor of Safety: 0.74\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.5989193395165, + "fos_buckling": 0.7353141138676188, + "fos_yielding": 0.9264243667437589, + "deflection": 0.008676208088921245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.550)" + }, + "parent_node_id": "node_508", + "improvement_over_parent": null + }, + "node_510": { + "node_id": "node_510", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n\nPerformance:\n Mass: 179.78 kg\n Factor of Safety: 0.93\n Max Deflection: 6.70e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.7832757518853, + "fos_buckling": 0.9311376656757917, + "fos_yielding": 1.2016408536356677, + "deflection": 0.006699435980804236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_509", + "improvement_over_parent": null + }, + "node_511": { + "node_id": "node_511", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0062)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n\nPerformance:\n Mass: 233.35 kg\n Factor of Safety: 1.17\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.34902331134828, + "fos_buckling": 1.1704498703415371, + "fos_yielding": 1.5597018108139515, + "deflection": 0.005172029408635127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0081)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 296.50 kg\n Factor of Safety: 1.43\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.4956305061534, + "fos_buckling": 1.4303773371720545, + "fos_yielding": 1.9821492478159872, + "deflection": 0.004079811914171791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_511", + "improvement_over_parent": null + }, + "node_513": { + "node_id": "node_513", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 73)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 198.00 kg\n Factor of Safety: 0.61\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.00419167498248, + "fos_buckling": 0.6059674968617963, + "fos_yielding": 1.6167140811221892, + "deflection": 0.00710945329671615, + "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 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 199.00 kg\n Factor of Safety: 0.61\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.0036505425696, + "fos_buckling": 0.6058841457491736, + "fos_yielding": 1.613487405616171, + "deflection": 0.007092379120575805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.335)" + }, + "parent_node_id": "node_514", + "improvement_over_parent": null + }, + "node_516": { + "node_id": "node_516", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 225.54 kg\n Factor of Safety: 1.01\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": 225.53820564092962, + "fos_buckling": 1.0059532303996714, + "fos_yielding": 1.6267084077673075, + "deflection": 0.005334199346806641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004259)" + }, + "parent_node_id": "node_515", + "improvement_over_parent": null + }, + "node_517": { + "node_id": "node_517", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 279.96 kg\n Factor of Safety: 1.22\n Max Deflection: 4.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.96119424859154, + "fos_buckling": 1.2208949481162399, + "fos_yielding": 2.0152646329420336, + "deflection": 0.0043085516370281705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_516", + "improvement_over_parent": null + }, + "node_518": { + "node_id": "node_518", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.26829774993803, + "fos_buckling": 1.5229963948047995, + "fos_yielding": 2.012561737399812, + "deflection": 0.004040061362156434, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.488)" + }, + "parent_node_id": "node_517", + "improvement_over_parent": null + }, + "node_519": { + "node_id": "node_519", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_518", + "improvement_over_parent": null + }, + "node_520": { + "node_id": "node_520", + "content": "INITIAL DESIGN (Trace 74)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n\nPerformance:\n Mass: 138.74 kg\n Factor of Safety: 0.73\n Max Deflection: 8.71e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.73870616696001, + "fos_buckling": 0.7315697558205645, + "fos_yielding": 1.5295400446262792, + "deflection": 8709875272576.98, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_521": { + "node_id": "node_521", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 167.35 kg\n Factor of Safety: 0.50\n Max Deflection: 1.30e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.3514616410024, + "fos_buckling": 0.49592189867238906, + "fos_yielding": 1.1253073712763755, + "deflection": 12995529855815.31, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_520", + "improvement_over_parent": null + }, + "node_522": { + "node_id": "node_522", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 203.27 kg\n Factor of Safety: 0.90\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": 203.26820541616945, + "fos_buckling": 0.8979085178301904, + "fos_yielding": 1.843496361432743, + "deflection": 0.00621847572127201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004953)" + }, + "parent_node_id": "node_521", + "improvement_over_parent": null + }, + "node_523": { + "node_id": "node_523", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 252.31 kg\n Factor of Safety: 1.07\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": 252.30898208108547, + "fos_buckling": 1.0727774271768293, + "fos_yielding": 2.2858639529701996, + "deflection": 0.005024993739745383, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_522", + "improvement_over_parent": null + }, + "node_524": { + "node_id": "node_524", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.00 kg\n Factor of Safety: 1.07\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": 262.002639856063, + "fos_buckling": 1.0720648144524085, + "fos_yielding": 2.2858639529701996, + "deflection": 0.004855513637502459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.318)" + }, + "parent_node_id": "node_523", + "improvement_over_parent": null + }, + "node_525": { + "node_id": "node_525", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 292.98 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9811859051394, + "fos_buckling": 1.5221942613700137, + "fos_yielding": 2.0104829804628706, + "deflection": 0.004044158322652514, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_524", + "improvement_over_parent": null + }, + "node_526": { + "node_id": "node_526", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_525", + "improvement_over_parent": null + }, + "node_527": { + "node_id": "node_527", + "content": "INITIAL DESIGN (Trace 75)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 225.12 kg\n Factor of Safety: 1.10\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.12295596552661, + "fos_buckling": 1.101523852099386, + "fos_yielding": 1.5853614204772848, + "deflection": 0.005244340386224768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_528": { + "node_id": "node_528", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 226.39 kg\n Factor of Safety: 1.22\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": 226.3936020152965, + "fos_buckling": 1.2196176217736174, + "fos_yielding": 1.5858340452302837, + "deflection": 0.005191435817190775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.321)" + }, + "parent_node_id": "node_527", + "improvement_over_parent": null + }, + "node_529": { + "node_id": "node_529", + "content": "MODIFICATION: Increase 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 229.43 kg\n Factor of Safety: 1.24\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": 229.42836312860322, + "fos_buckling": 1.2427582932663122, + "fos_yielding": 1.5770046271375884, + "deflection": 0.005145103536111343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.203)" + }, + "parent_node_id": "node_528", + "improvement_over_parent": null + }, + "node_530": { + "node_id": "node_530", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 254.23 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": 254.22660525182476, + "fos_buckling": 1.354967951671034, + "fos_yielding": 1.746480260565839, + "deflection": 0.004649924145080485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_529", + "improvement_over_parent": null + }, + "node_531": { + "node_id": "node_531", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1059012906185, + "fos_buckling": 1.522351877220551, + "fos_yielding": 2.011806613444925, + "deflection": 0.004042233488377841, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_530", + "improvement_over_parent": null + }, + "node_532": { + "node_id": "node_532", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_531", + "improvement_over_parent": null + }, + "node_533": { + "node_id": "node_533", + "content": "INITIAL DESIGN (Trace 76)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 135.19 kg\n Factor of Safety: 1.28\n Max Deflection: 2.35e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.18639401086705, + "fos_buckling": 1.2814391196564363, + "fos_yielding": 0.5626536856381877, + "deflection": 23456103684934.777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_534": { + "node_id": "node_534", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 154.02 kg\n Factor of Safety: 0.26\n Max Deflection: 1.38e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.0208304106218, + "fos_buckling": 0.2608363213135332, + "fos_yielding": 0.5626536856381877, + "deflection": 13831180497796.34, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_533", + "improvement_over_parent": null + }, + "node_535": { + "node_id": "node_535", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 155.01 kg\n Factor of Safety: 0.51\n Max Deflection: 2.68e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.01413039875385, + "fos_buckling": 0.5127375162053949, + "fos_yielding": 1.3316746071816579, + "deflection": 26804502013216.3, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.399)" + }, + "parent_node_id": "node_534", + "improvement_over_parent": null + }, + "node_536": { + "node_id": "node_536", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n\nPerformance:\n Mass: 185.14 kg\n Factor of Safety: 0.74\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.1379452611451, + "fos_buckling": 0.744274935498347, + "fos_yielding": 1.1457976897378899, + "deflection": 0.007213307886722888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004178)" + }, + "parent_node_id": "node_535", + "improvement_over_parent": null + }, + "node_537": { + "node_id": "node_537", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n\nPerformance:\n Mass: 229.50 kg\n Factor of Safety: 0.89\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": 229.49886760928194, + "fos_buckling": 0.893547896182997, + "fos_yielding": 1.4230742582495517, + "deflection": 0.005834618513520017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_536", + "improvement_over_parent": null + }, + "node_538": { + "node_id": "node_538", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 265.25 kg\n Factor of Safety: 1.01\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": 265.2489568520664, + "fos_buckling": 1.0058180631369138, + "fos_yielding": 1.6475347666880031, + "deflection": 0.005059100367928434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_537", + "improvement_over_parent": null + }, + "node_539": { + "node_id": "node_539", + "content": "MODIFICATION: Increase 5 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 267.04 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.04147129041496, + "fos_buckling": 1.0058180631369136, + "fos_yielding": 1.9966485797099254, + "deflection": 0.005013918419246049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.241)" + }, + "parent_node_id": "node_538", + "improvement_over_parent": null + }, + "node_540": { + "node_id": "node_540", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.94 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.93890843280474, + "fos_buckling": 1.521614838749993, + "fos_yielding": 2.0107557979738777, + "deflection": 0.004044624394445177, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_539", + "improvement_over_parent": null + }, + "node_541": { + "node_id": "node_541", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_540", + "improvement_over_parent": null + }, + "node_542": { + "node_id": "node_542", + "content": "INITIAL DESIGN (Trace 77)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 147.21 kg\n Factor of Safety: 0.13\n Max Deflection: 2.65e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.21106281046127, + "fos_buckling": 0.13164445434757258, + "fos_yielding": 0.6400895501121107, + "deflection": 26493346753351.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_543": { + "node_id": "node_543", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 178.12 kg\n Factor of Safety: 0.45\n Max Deflection: 6.67e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.11831600644842, + "fos_buckling": 0.44956411979623867, + "fos_yielding": 1.21606467298172, + "deflection": 66664692847997.04, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_542", + "improvement_over_parent": null + }, + "node_544": { + "node_id": "node_544", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 207.87 kg\n Factor of Safety: 0.35\n Max Deflection: 2.54e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8744772092139, + "fos_buckling": 0.35007125524761185, + "fos_yielding": 1.2117772941433518, + "deflection": 0.02542755140573193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004821)" + }, + "parent_node_id": "node_543", + "improvement_over_parent": null + }, + "node_545": { + "node_id": "node_545", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0075)]\n\nPerformance:\n Mass: 222.10 kg\n Factor of Safety: 0.35\n Max Deflection: 2.47e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.09540558518893, + "fos_buckling": 0.3500712552476118, + "fos_yielding": 1.2117772941433516, + "deflection": 0.02467160064474255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.546)" + }, + "parent_node_id": "node_544", + "improvement_over_parent": null + }, + "node_546": { + "node_id": "node_546", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 226.81 kg\n Factor of Safety: 0.54\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.80943902666073, + "fos_buckling": 0.5420621090196085, + "fos_yielding": 1.718910835198804, + "deflection": 0.00758285331642852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002961)" + }, + "parent_node_id": "node_545", + "improvement_over_parent": null + }, + "node_547": { + "node_id": "node_547", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0075)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n\nPerformance:\n Mass: 265.86 kg\n Factor of Safety: 1.08\n Max Deflection: 4.72e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.8637534299848, + "fos_buckling": 1.0811783048552677, + "fos_yielding": 1.775804977554227, + "deflection": 0.004715151857906259, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005523)" + }, + "parent_node_id": "node_546", + "improvement_over_parent": null + }, + "node_548": { + "node_id": "node_548", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0083)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.75 kg\n Factor of Safety: 1.18\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.74821486699784, + "fos_buckling": 1.183248715068845, + "fos_yielding": 1.9624232788498097, + "deflection": 0.004269927373982041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_547", + "improvement_over_parent": null + }, + "node_549": { + "node_id": "node_549", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_548", + "improvement_over_parent": null + }, + "node_550": { + "node_id": "node_550", + "content": "INITIAL DESIGN (Trace 78)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 164.45 kg\n Factor of Safety: 0.25\n Max Deflection: 3.43e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.4469732262174, + "fos_buckling": 0.2495292592920881, + "fos_yielding": 0.5626536856381877, + "deflection": 34264890554682.086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_551": { + "node_id": "node_551", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 188.94 kg\n Factor of Safety: 0.15\n Max Deflection: 6.90e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.94472614842576, + "fos_buckling": 0.1518339432878411, + "fos_yielding": 0.5275731553346169, + "deflection": 69002135047504.53, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_550", + "improvement_over_parent": null + }, + "node_552": { + "node_id": "node_552", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 228.35 kg\n Factor of Safety: 0.97\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": 228.35163614103084, + "fos_buckling": 0.9701115129048369, + "fos_yielding": 2.0207454106389138, + "deflection": 0.006117474979188366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005475)" + }, + "parent_node_id": "node_551", + "improvement_over_parent": null + }, + "node_553": { + "node_id": "node_553", + "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 237.49 kg\n Factor of Safety: 0.97\n Max Deflection: 5.48e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.4857444746174, + "fos_buckling": 0.9695033308459956, + "fos_yielding": 2.020745410638913, + "deflection": 0.005482276186064667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.453)" + }, + "parent_node_id": "node_552", + "improvement_over_parent": null + }, + "node_554": { + "node_id": "node_554", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.61 kg\n Factor of Safety: 1.07\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": 268.61307005024423, + "fos_buckling": 1.0719375783172231, + "fos_yielding": 2.2849354776455977, + "deflection": 0.004856445972767701, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_553", + "improvement_over_parent": null + }, + "node_555": { + "node_id": "node_555", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.99 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9945420110763, + "fos_buckling": 1.5225962363709318, + "fos_yielding": 2.0105290640383333, + "deflection": 0.0040439004091663774, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_554", + "improvement_over_parent": null + }, + "node_556": { + "node_id": "node_556", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_555", + "improvement_over_parent": null + }, + "node_557": { + "node_id": "node_557", + "content": "INITIAL DESIGN (Trace 79)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 204.20 kg\n Factor of Safety: 0.51\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.19737643148906, + "fos_buckling": 0.51077698990841, + "fos_yielding": 1.6028822571110128, + "deflection": 0.008591804374502856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_558": { + "node_id": "node_558", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 240.54 kg\n Factor of Safety: 1.28\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": 240.54262480272052, + "fos_buckling": 1.2771696941232191, + "fos_yielding": 1.7125459459622778, + "deflection": 0.0048683665901411745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005109)" + }, + "parent_node_id": "node_557", + "improvement_over_parent": null + }, + "node_559": { + "node_id": "node_559", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 286.19 kg\n Factor of Safety: 1.47\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.1913595077252, + "fos_buckling": 1.4735115067118196, + "fos_yielding": 2.034580185897735, + "deflection": 0.004103107359947202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_558", + "improvement_over_parent": null + }, + "node_560": { + "node_id": "node_560", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 299.32 kg\n Factor of Safety: 1.53\n Max Deflection: 3.92e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.321122211446, + "fos_buckling": 1.5333342395915237, + "fos_yielding": 2.061095259499065, + "deflection": 0.003924371953572755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.335)" + }, + "parent_node_id": "node_559", + "improvement_over_parent": null + }, + "node_561": { + "node_id": "node_561", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 80)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, 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_563": { + "node_id": "node_563", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n\nPerformance:\n Mass: 194.54 kg\n Factor of Safety: 0.87\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": 194.54105278873564, + "fos_buckling": 0.87280071594537, + "fos_yielding": 1.7840665547462875, + "deflection": 0.006270473048004451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002473)" + }, + "parent_node_id": "node_562", + "improvement_over_parent": null + }, + "node_564": { + "node_id": "node_564", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n\nPerformance:\n Mass: 224.56 kg\n Factor of Safety: 0.98\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": 224.56080738708866, + "fos_buckling": 0.9841558265055849, + "fos_yielding": 2.057994525544651, + "deflection": 0.005444322022836736, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_563", + "improvement_over_parent": null + }, + "node_565": { + "node_id": "node_565", + "content": "MODIFICATION: Increase 3 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n\nPerformance:\n Mass: 227.34 kg\n Factor of Safety: 0.98\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": 227.3423479922362, + "fos_buckling": 0.9841558265055849, + "fos_yielding": 2.057994525544651, + "deflection": 0.005396555309386327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.499)" + }, + "parent_node_id": "node_564", + "improvement_over_parent": null + }, + "node_566": { + "node_id": "node_566", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 255.19 kg\n Factor of Safety: 1.29\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": 255.18573741738294, + "fos_buckling": 1.2885656719887961, + "fos_yielding": 1.8334367056721455, + "deflection": 0.004588899557825987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004647)" + }, + "parent_node_id": "node_565", + "improvement_over_parent": null + }, + "node_567": { + "node_id": "node_567", + "content": "MODIFICATION: Increase 2 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0051)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 259.43 kg\n Factor of Safety: 1.29\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": 259.42784271225764, + "fos_buckling": 1.2923910848748663, + "fos_yielding": 1.8340206741462421, + "deflection": 0.004531790277634125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.242)" + }, + "parent_node_id": "node_566", + "improvement_over_parent": null + }, + "node_568": { + "node_id": "node_568", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0058)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 288.70 kg\n Factor of Safety: 1.42\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.7022192139215, + "fos_buckling": 1.4204699605052518, + "fos_yielding": 2.0394760297347205, + "deflection": 0.00407893563830229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_567", + "improvement_over_parent": null + }, + "node_569": { + "node_id": "node_569", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_568", + "improvement_over_parent": null + }, + "node_570": { + "node_id": "node_570", + "content": "INITIAL DESIGN (Trace 81)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 135.43 kg\n Factor of Safety: 0.79\n Max Deflection: 1.62e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.43210393600276, + "fos_buckling": 0.7928246477172772, + "fos_yielding": 1.2911031627937621, + "deflection": 16229878559460.32, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_571": { + "node_id": "node_571", + "content": "MODIFICATION: Increase 5 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 136.70 kg\n Factor of Safety: 0.27\n Max Deflection: 4.56e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.69731070344704, + "fos_buckling": 0.27180323568804043, + "fos_yielding": 1.2160646729817197, + "deflection": 45563962136361.27, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.664)" + }, + "parent_node_id": "node_570", + "improvement_over_parent": null + }, + "node_572": { + "node_id": "node_572", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 171.24 kg\n Factor of Safety: 0.18\n Max Deflection: 2.80e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.23668262333786, + "fos_buckling": 0.17825831144998208, + "fos_yielding": 0.6572912921928787, + "deflection": 28028607328702.965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_571", + "improvement_over_parent": null + }, + "node_573": { + "node_id": "node_573", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 217.57 kg\n Factor of Safety: 0.87\n Max Deflection: 6.21e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.56725039224844, + "fos_buckling": 0.8724694798536098, + "fos_yielding": 2.250614742552751, + "deflection": 6208329238814.644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_572", + "improvement_over_parent": null + }, + "node_574": { + "node_id": "node_574", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.15 kg\n Factor of Safety: 1.07\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": 262.14918156019434, + "fos_buckling": 1.0726168674310272, + "fos_yielding": 2.2870378104289064, + "deflection": 0.004852780599649053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_573", + "improvement_over_parent": null + }, + "node_575": { + "node_id": "node_575", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1277276092707, + "fos_buckling": 1.5228632806439013, + "fos_yielding": 2.0115559850319475, + "deflection": 0.004042026059733543, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_574", + "improvement_over_parent": null + }, + "node_576": { + "node_id": "node_576", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_575", + "improvement_over_parent": null + }, + "node_577": { + "node_id": "node_577", + "content": "INITIAL DESIGN (Trace 82)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 207.69 kg\n Factor of Safety: 0.41\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": 207.68770683711597, + "fos_buckling": 0.4138807507603033, + "fos_yielding": 1.862089858266668, + "deflection": 0.009237536534964948, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_578": { + "node_id": "node_578", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 216.87 kg\n Factor of Safety: 0.41\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": 216.8661196056867, + "fos_buckling": 0.4136196279659538, + "fos_yielding": 1.8609150413508602, + "deflection": 0.008765337804774608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.389)" + }, + "parent_node_id": "node_577", + "improvement_over_parent": null + }, + "node_579": { + "node_id": "node_579", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 260.06 kg\n Factor of Safety: 1.07\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.0641775431389, + "fos_buckling": 1.072749107557786, + "fos_yielding": 2.2871339933597423, + "deflection": 0.004966896647685655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_578", + "improvement_over_parent": null + }, + "node_580": { + "node_id": "node_580", + "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 268.84 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.8375895587448, + "fos_buckling": 1.0721044635869514, + "fos_yielding": 2.2871339933597423, + "deflection": 0.004852881781665887, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.562)" + }, + "parent_node_id": "node_579", + "improvement_over_parent": null + }, + "node_581": { + "node_id": "node_581", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21906151957694, + "fos_buckling": 1.5228826845506644, + "fos_yielding": 2.012442336299257, + "deflection": 0.004040742753725123, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_580", + "improvement_over_parent": null + }, + "node_582": { + "node_id": "node_582", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_581", + "improvement_over_parent": null + }, + "node_583": { + "node_id": "node_583", + "content": "INITIAL DESIGN (Trace 83)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\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_584": { + "node_id": "node_584", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 172.54 kg\n Factor of Safety: 0.63\n Max Deflection: 4.27e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.53752409694485, + "fos_buckling": 0.6330461973195946, + "fos_yielding": 0.3595189046839191, + "deflection": 42717652232240.53, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_583", + "improvement_over_parent": null + }, + "node_585": { + "node_id": "node_585", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 217.12 kg\n Factor of Safety: 1.39\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.11945526489075, + "fos_buckling": 1.3944786250886616, + "fos_yielding": 1.8386562587421529, + "deflection": 11305886300185.336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_584", + "improvement_over_parent": null + }, + "node_586": { + "node_id": "node_586", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 260.32 kg\n Factor of Safety: 1.01\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": 260.317513202343, + "fos_buckling": 1.007185884277328, + "fos_yielding": 1.9986602651239656, + "deflection": 0.0050069688319831105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_585", + "improvement_over_parent": null + }, + "node_587": { + "node_id": "node_587", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.23004983396, + "fos_buckling": 1.522892768689085, + "fos_yielding": 2.0124494362925933, + "deflection": 0.004040637184682526, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_586", + "improvement_over_parent": null + }, + "node_588": { + "node_id": "node_588", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_587", + "improvement_over_parent": null + }, + "node_589": { + "node_id": "node_589", + "content": "INITIAL DESIGN (Trace 84)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 174.78 kg\n Factor of Safety: 0.89\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.77940571378204, + "fos_buckling": 0.893628551090734, + "fos_yielding": 1.2317733120632433, + "deflection": 0.006771799186092255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_590": { + "node_id": "node_590", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 224.10 kg\n Factor of Safety: 1.12\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": 224.09791638568515, + "fos_buckling": 1.1165390269570505, + "fos_yielding": 1.57701674816428, + "deflection": 0.005295951472185496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_589", + "improvement_over_parent": null + }, + "node_591": { + "node_id": "node_591", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 229.32 kg\n Factor of Safety: 1.24\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": 229.3185171161623, + "fos_buckling": 1.2422782737709357, + "fos_yielding": 1.5761106683905075, + "deflection": 0.005147651093549435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.196)" + }, + "parent_node_id": "node_590", + "improvement_over_parent": null + }, + "node_592": { + "node_id": "node_592", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.04 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0392100962717, + "fos_buckling": 1.5221099910943756, + "fos_yielding": 2.0111735783530476, + "deflection": 0.00404322642566712, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_591", + "improvement_over_parent": null + }, + "node_593": { + "node_id": "node_593", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_592", + "improvement_over_parent": null + }, + "node_594": { + "node_id": "node_594", + "content": "INITIAL DESIGN (Trace 85)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 223.32 kg\n Factor of Safety: 0.83\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": 223.32188731297003, + "fos_buckling": 0.8315779705520893, + "fos_yielding": 1.2329871109142194, + "deflection": 0.0054856105671981115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_595": { + "node_id": "node_595", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 232.53 kg\n Factor of Safety: 0.86\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": 232.53485959416224, + "fos_buckling": 0.8647401194986045, + "fos_yielding": 1.2316251586562459, + "deflection": 0.005193029286460301, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.385)" + }, + "parent_node_id": "node_594", + "improvement_over_parent": null + }, + "node_596": { + "node_id": "node_596", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 287.47 kg\n Factor of Safety: 1.06\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.4656301904953, + "fos_buckling": 1.0551019627514788, + "fos_yielding": 1.5279126923880928, + "deflection": 0.004211836840963419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_595", + "improvement_over_parent": null + }, + "node_597": { + "node_id": "node_597", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.67 kg\n Factor of Safety: 1.30\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": 288.6699582496374, + "fos_buckling": 1.2995028135770508, + "fos_yielding": 1.528544696497975, + "deflection": 0.004156684891786475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.323)" + }, + "parent_node_id": "node_596", + "improvement_over_parent": null + }, + "node_598": { + "node_id": "node_598", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 290.54 kg\n Factor of Safety: 1.30\n Max Deflection: 4.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.5353490390829, + "fos_buckling": 1.2999874671407807, + "fos_yielding": 1.5291147719350873, + "deflection": 0.004106976267142175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.395)" + }, + "parent_node_id": "node_597", + "improvement_over_parent": null + }, + "node_599": { + "node_id": "node_599", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.99 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.99015862636145, + "fos_buckling": 1.5218305544037698, + "fos_yielding": 2.010574506057163, + "deflection": 0.004043846154500092, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.359)" + }, + "parent_node_id": "node_598", + "improvement_over_parent": null + }, + "node_600": { + "node_id": "node_600", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_599", + "improvement_over_parent": null + }, + "node_601": { + "node_id": "node_601", + "content": "INITIAL DESIGN (Trace 86)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\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_602": { + "node_id": "node_602", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n\nPerformance:\n Mass: 154.27 kg\n Factor of Safety: 0.67\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.27347319249404, + "fos_buckling": 0.6742665245666887, + "fos_yielding": 1.2558598729103687, + "deflection": 0.008743650200552499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003011)" + }, + "parent_node_id": "node_601", + "improvement_over_parent": null + }, + "node_603": { + "node_id": "node_603", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n\nPerformance:\n Mass: 180.82 kg\n Factor of Safety: 0.77\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.8209984843594, + "fos_buckling": 0.7743693899786412, + "fos_yielding": 1.4703394238403285, + "deflection": 0.007468735797152392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_602", + "improvement_over_parent": null + }, + "node_604": { + "node_id": "node_604", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n\nPerformance:\n Mass: 181.98 kg\n Factor of Safety: 0.77\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.9768581010536, + "fos_buckling": 0.7743693899786412, + "fos_yielding": 1.4703394238403285, + "deflection": 0.007468735797152392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.244)" + }, + "parent_node_id": "node_603", + "improvement_over_parent": null + }, + "node_605": { + "node_id": "node_605", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 203.34 kg\n Factor of Safety: 0.85\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.3358476919105, + "fos_buckling": 0.8511413475857941, + "fos_yielding": 1.6415609198074683, + "deflection": 0.0066899107132954915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_604", + "improvement_over_parent": null + }, + "node_606": { + "node_id": "node_606", + "content": "MODIFICATION: Increase 0 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 209.67 kg\n Factor of Safety: 0.85\n Max Deflection: 6.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.66839966746517, + "fos_buckling": 0.8507706923537856, + "fos_yielding": 1.6414306657074809, + "deflection": 0.006186897296504151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.319)" + }, + "parent_node_id": "node_605", + "improvement_over_parent": null + }, + "node_607": { + "node_id": "node_607", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 236.47 kg\n Factor of Safety: 1.26\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": 236.47487684727253, + "fos_buckling": 1.256878077085159, + "fos_yielding": 1.652636646618254, + "deflection": 0.004965888025919208, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004306)" + }, + "parent_node_id": "node_606", + "improvement_over_parent": null + }, + "node_608": { + "node_id": "node_608", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 290.35 kg\n Factor of Safety: 1.49\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": 290.3477213662549, + "fos_buckling": 1.4891886242335493, + "fos_yielding": 2.0263005318197393, + "deflection": 0.004057333726978853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_607", + "improvement_over_parent": null + }, + "node_609": { + "node_id": "node_609", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 87)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 204.41 kg\n Factor of Safety: 1.15\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": 204.40521202969873, + "fos_buckling": 1.152511833561691, + "fos_yielding": 1.450706173209677, + "deflection": 0.005857714513047303, + "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 all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 240.83 kg\n Factor of Safety: 1.32\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": 240.82719181940516, + "fos_buckling": 1.3249796226806303, + "fos_yielding": 1.7072445136142118, + "deflection": 0.004981113921118379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_610", + "improvement_over_parent": null + }, + "node_612": { + "node_id": "node_612", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.57 kg\n Factor of Safety: 1.52\n Max Deflection: 4.22e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 284.5688359996147, + "fos_buckling": 1.5192017349834188, + "fos_yielding": 2.0145202583340747, + "deflection": 0.004224846822055847, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_611", + "improvement_over_parent": null + }, + "node_613": { + "node_id": "node_613", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2606330002496, + "fos_buckling": 1.5230023095075986, + "fos_yielding": 2.0126261295771917, + "deflection": 0.004040199130668078, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.377)" + }, + "parent_node_id": "node_612", + "improvement_over_parent": null + }, + "node_614": { + "node_id": "node_614", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_613", + "improvement_over_parent": null + }, + "node_615": { + "node_id": "node_615", + "content": "INITIAL DESIGN (Trace 88)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 226.18 kg\n Factor of Safety: 1.18\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": 226.17623676376405, + "fos_buckling": 1.1788305368477683, + "fos_yielding": 1.6367970610452802, + "deflection": 0.005219365915396191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_616": { + "node_id": "node_616", + "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 236.14 kg\n Factor of Safety: 1.17\n Max Deflection: 5.06e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.14107003477966, + "fos_buckling": 1.1746453200914617, + "fos_yielding": 1.6387891599970323, + "deflection": 0.0050636223120612426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.642)" + }, + "parent_node_id": "node_615", + "improvement_over_parent": null + }, + "node_617": { + "node_id": "node_617", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.65 kg\n Factor of Safety: 1.43\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": 291.65265497339743, + "fos_buckling": 1.4250827310754215, + "fos_yielding": 2.021137608126617, + "deflection": 0.00411159874877294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_616", + "improvement_over_parent": null + }, + "node_618": { + "node_id": "node_618", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.10 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.09981473464575, + "fos_buckling": 1.5223376918986404, + "fos_yielding": 2.0116223496284937, + "deflection": 0.004042468994591299, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.422)" + }, + "parent_node_id": "node_617", + "improvement_over_parent": null + }, + "node_619": { + "node_id": "node_619", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_618", + "improvement_over_parent": null + }, + "node_620": { + "node_id": "node_620", + "content": "INITIAL DESIGN (Trace 89)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 181.85 kg\n Factor of Safety: 0.51\n Max Deflection: 9.51e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.84839103246205, + "fos_buckling": 0.5085021730642605, + "fos_yielding": 1.5934914574068906, + "deflection": 0.009510340211719408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_621": { + "node_id": "node_621", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 217.94 kg\n Factor of Safety: 1.20\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": 217.93661316473268, + "fos_buckling": 1.2012761228984952, + "fos_yielding": 1.6372956965451853, + "deflection": 0.005546414377879122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005070)" + }, + "parent_node_id": "node_620", + "improvement_over_parent": null + }, + "node_622": { + "node_id": "node_622", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 225.41 kg\n Factor of Safety: 1.20\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": 225.40562117981628, + "fos_buckling": 1.2044371133311735, + "fos_yielding": 1.6359195904503392, + "deflection": 0.005301887543258169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.385)" + }, + "parent_node_id": "node_621", + "improvement_over_parent": null + }, + "node_623": { + "node_id": "node_623", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0051)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 230.03 kg\n Factor of Safety: 1.17\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": 230.03254961749076, + "fos_buckling": 1.166284932350522, + "fos_yielding": 1.6258036691834123, + "deflection": 0.00523669362041818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.196)" + }, + "parent_node_id": "node_622", + "improvement_over_parent": null + }, + "node_624": { + "node_id": "node_624", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0062)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 275.69 kg\n Factor of Safety: 1.36\n Max Deflection: 4.38e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.68809737812774, + "fos_buckling": 1.356656487288557, + "fos_yielding": 1.9458992043842227, + "deflection": 0.004379128137438516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_623", + "improvement_over_parent": null + }, + "node_625": { + "node_id": "node_625", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0062)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0079)]\n\nPerformance:\n Mass: 286.23 kg\n Factor of Safety: 1.35\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": 286.23182578781365, + "fos_buckling": 1.3506107028219019, + "fos_yielding": 1.9446100000848094, + "deflection": 0.004236411038328839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.276)" + }, + "parent_node_id": "node_624", + "improvement_over_parent": null + }, + "node_626": { + "node_id": "node_626", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0062)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0079)]\n\nPerformance:\n Mass: 295.42 kg\n Factor of Safety: 1.36\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": 295.4179530459905, + "fos_buckling": 1.3601317389817684, + "fos_yielding": 1.9731457961946794, + "deflection": 0.00406364383541498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.389)" + }, + "parent_node_id": "node_625", + "improvement_over_parent": null + }, + "node_627": { + "node_id": "node_627", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_626", + "improvement_over_parent": null + }, + "node_628": { + "node_id": "node_628", + "content": "INITIAL DESIGN (Trace 90)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0013)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 133.62 kg\n Factor of Safety: 0.56\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.6229604542929, + "fos_buckling": 0.5589210686445809, + "fos_yielding": 0.7012485214727758, + "deflection": 0.011955477072884496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_629": { + "node_id": "node_629", + "content": "MODIFICATION: Increase 5 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0016)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 135.49 kg\n Factor of Safety: 0.56\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": 135.49115378245307, + "fos_buckling": 0.5556458210072722, + "fos_yielding": 1.1270304480165756, + "deflection": 0.011959055529718569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.647)" + }, + "parent_node_id": "node_628", + "improvement_over_parent": null + }, + "node_630": { + "node_id": "node_630", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 157.46 kg\n Factor of Safety: 0.64\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.464834959427, + "fos_buckling": 0.6366784154880657, + "fos_yielding": 1.3087232761857253, + "deflection": 0.010300022223421404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_629", + "improvement_over_parent": null + }, + "node_631": { + "node_id": "node_631", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 183.37 kg\n Factor of Safety: 0.73\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.37372288034382, + "fos_buckling": 0.7289951010540199, + "fos_yielding": 1.5225575466700867, + "deflection": 0.00885472855761819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_630", + "improvement_over_parent": null + }, + "node_632": { + "node_id": "node_632", + "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 190.61 kg\n Factor of Safety: 0.73\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.60993611057074, + "fos_buckling": 0.7303248012746618, + "fos_yielding": 1.5234399452043095, + "deflection": 0.008854479266405386, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.527)" + }, + "parent_node_id": "node_631", + "improvement_over_parent": null + }, + "node_633": { + "node_id": "node_633", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.76 kg\n Factor of Safety: 0.87\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.75757394872528, + "fos_buckling": 0.8652230546242358, + "fos_yielding": 1.8501482688416866, + "deflection": 0.0072923617225261065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_632", + "improvement_over_parent": null + }, + "node_634": { + "node_id": "node_634", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.11 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.11485487250553, + "fos_buckling": 1.0369962749765407, + "fos_yielding": 2.2963845732321007, + "deflection": 0.005876898585198564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_633", + "improvement_over_parent": null + }, + "node_635": { + "node_id": "node_635", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.33 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3286849063196, + "fos_buckling": 1.5233401539933717, + "fos_yielding": 2.0128784553513386, + "deflection": 0.004039289903890755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_634", + "improvement_over_parent": null + }, + "node_636": { + "node_id": "node_636", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_635", + "improvement_over_parent": null + }, + "node_637": { + "node_id": "node_637", + "content": "INITIAL DESIGN (Trace 91)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 204.68 kg\n Factor of Safety: 0.47\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.67712787134204, + "fos_buckling": 0.4718140185831572, + "fos_yielding": 1.3909301511340146, + "deflection": 0.008841050345607775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_638": { + "node_id": "node_638", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 244.06 kg\n Factor of Safety: 1.10\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": 244.0575072583897, + "fos_buckling": 1.09846127634635, + "fos_yielding": 1.7805347470017943, + "deflection": 0.004892074317168127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005471)" + }, + "parent_node_id": "node_637", + "improvement_over_parent": null + }, + "node_639": { + "node_id": "node_639", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 276.43 kg\n Factor of Safety: 1.23\n Max Deflection: 4.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 276.43294599422427, + "fos_buckling": 1.2262436729306412, + "fos_yielding": 2.013983263903334, + "deflection": 0.0043261843814938325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_638", + "improvement_over_parent": null + }, + "node_640": { + "node_id": "node_640", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.61 kg\n Factor of Safety: 1.26\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": 281.61129171054677, + "fos_buckling": 1.2615326393141542, + "fos_yielding": 2.014621389028091, + "deflection": 0.004266058910830209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.205)" + }, + "parent_node_id": "node_639", + "improvement_over_parent": null + }, + "node_641": { + "node_id": "node_641", + "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2387394696448, + "fos_buckling": 1.5227914193191638, + "fos_yielding": 2.0123416037593924, + "deflection": 0.004040588117205436, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.404)" + }, + "parent_node_id": "node_640", + "improvement_over_parent": null + }, + "node_642": { + "node_id": "node_642", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_641", + "improvement_over_parent": null + }, + "node_643": { + "node_id": "node_643", + "content": "INITIAL DESIGN (Trace 92)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 205.10 kg\n Factor of Safety: 0.88\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.0993536191003, + "fos_buckling": 0.8764892269944184, + "fos_yielding": 1.7930234571787589, + "deflection": 0.0063199819007087035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_644": { + "node_id": "node_644", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 224.21 kg\n Factor of Safety: 1.11\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": 224.20594251237085, + "fos_buckling": 1.1103839983557091, + "fos_yielding": 1.5800279803498818, + "deflection": 0.0052963907059965796, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003732)" + }, + "parent_node_id": "node_643", + "improvement_over_parent": null + }, + "node_645": { + "node_id": "node_645", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 229.20 kg\n Factor of Safety: 1.14\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": 229.19665736557184, + "fos_buckling": 1.1398621307770165, + "fos_yielding": 1.5804889974031993, + "deflection": 0.0052310820276296926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.211)" + }, + "parent_node_id": "node_644", + "improvement_over_parent": null + }, + "node_646": { + "node_id": "node_646", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0065)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.62 kg\n Factor of Safety: 1.41\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": 292.6159176429758, + "fos_buckling": 1.4077100762974775, + "fos_yielding": 2.0152248773395662, + "deflection": 0.004110326944750874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_645", + "improvement_over_parent": null + }, + "node_647": { + "node_id": "node_647", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_646", + "improvement_over_parent": null + }, + "node_648": { + "node_id": "node_648", + "content": "INITIAL DESIGN (Trace 93)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 181.14 kg\n Factor of Safety: 0.79\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": 181.1373689919776, + "fos_buckling": 0.786350064987877, + "fos_yielding": 1.581458098813411, + "deflection": 0.006987790906534407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_649": { + "node_id": "node_649", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 202.53 kg\n Factor of Safety: 1.12\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.53433913600765, + "fos_buckling": 1.1162645737798502, + "fos_yielding": 1.3928797942918916, + "deflection": 0.0058193072285827015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003502)" + }, + "parent_node_id": "node_648", + "improvement_over_parent": null + }, + "node_650": { + "node_id": "node_650", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 228.60 kg\n Factor of Safety: 1.24\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": 228.60130746706795, + "fos_buckling": 1.2389658930441754, + "fos_yielding": 1.571224315725892, + "deflection": 0.0051635670088193445, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_649", + "improvement_over_parent": null + }, + "node_651": { + "node_id": "node_651", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3660236778916, + "fos_buckling": 1.5234689335043523, + "fos_yielding": 2.013423614005726, + "deflection": 0.00403878436726884, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_650", + "improvement_over_parent": null + }, + "node_652": { + "node_id": "node_652", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 94)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_654": { + "node_id": "node_654", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 260.31 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.3143225052971, + "fos_buckling": 1.007141113701691, + "fos_yielding": 1.9986517602972464, + "deflection": 0.005007061235318009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_653", + "improvement_over_parent": null + }, + "node_655": { + "node_id": "node_655", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22685913691413, + "fos_buckling": 1.5228847239535073, + "fos_yielding": 2.0124410638590606, + "deflection": 0.004040693575250053, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_654", + "improvement_over_parent": null + }, + "node_656": { + "node_id": "node_656", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_655", + "improvement_over_parent": null + }, + "node_657": { + "node_id": "node_657", + "content": "INITIAL DESIGN (Trace 95)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 220.14 kg\n Factor of Safety: 1.15\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": 220.14317400327278, + "fos_buckling": 1.1483462080398341, + "fos_yielding": 1.5731185741628153, + "deflection": 0.005379725802831351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_658": { + "node_id": "node_658", + "content": "MODIFICATION: Increase 8 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 226.56 kg\n Factor of Safety: 1.10\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": 226.561721020962, + "fos_buckling": 1.100733982162183, + "fos_yielding": 1.5742862532638442, + "deflection": 0.005283888952225551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.359)" + }, + "parent_node_id": "node_657", + "improvement_over_parent": null + }, + "node_659": { + "node_id": "node_659", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 227.81 kg\n Factor of Safety: 1.24\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": 227.8106756925865, + "fos_buckling": 1.2353208963971758, + "fos_yielding": 1.5657544461628201, + "deflection": 0.005181216556989805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.477)" + }, + "parent_node_id": "node_658", + "improvement_over_parent": null + }, + "node_660": { + "node_id": "node_660", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.39 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3900448356722, + "fos_buckling": 1.5235796744479257, + "fos_yielding": 2.0135078141562284, + "deflection": 0.004038434801495029, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_659", + "improvement_over_parent": null + }, + "node_661": { + "node_id": "node_661", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_660", + "improvement_over_parent": null + }, + "node_662": { + "node_id": "node_662", + "content": "INITIAL DESIGN (Trace 96)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 179.17 kg\n Factor of Safety: 0.35\n Max Deflection: 6.45e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.173456651994, + "fos_buckling": 0.34639435767222626, + "fos_yielding": 1.373968662131978, + "deflection": 6445822641428.574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_663": { + "node_id": "node_663", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 183.81 kg\n Factor of Safety: 0.54\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": 183.81126326512808, + "fos_buckling": 0.5361659057741233, + "fos_yielding": 1.5585487553330664, + "deflection": 0.010570124125600168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002909)" + }, + "parent_node_id": "node_662", + "improvement_over_parent": null + }, + "node_664": { + "node_id": "node_664", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 190.07 kg\n Factor of Safety: 0.54\n Max Deflection: 9.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.07186902138372, + "fos_buckling": 0.5359347636407017, + "fos_yielding": 1.694919907471101, + "deflection": 0.009571044625907361, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.460)" + }, + "parent_node_id": "node_663", + "improvement_over_parent": null + }, + "node_665": { + "node_id": "node_665", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 211.76 kg\n Factor of Safety: 0.54\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.7595553484562, + "fos_buckling": 0.5351355909651616, + "fos_yielding": 1.693575622656163, + "deflection": 0.008429687274451463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004279)" + }, + "parent_node_id": "node_664", + "improvement_over_parent": null + }, + "node_666": { + "node_id": "node_666", + "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 222.35 kg\n Factor of Safety: 0.53\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": 222.35317080953345, + "fos_buckling": 0.5347460911126399, + "fos_yielding": 1.6929197651871453, + "deflection": 0.008076236154449905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.558)" + }, + "parent_node_id": "node_665", + "improvement_over_parent": null + }, + "node_667": { + "node_id": "node_667", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 260.78 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": 260.77592761723713, + "fos_buckling": 1.3843050576276383, + "fos_yielding": 1.7911388068460368, + "deflection": 0.0045351136547106315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005426)" + }, + "parent_node_id": "node_666", + "improvement_over_parent": null + }, + "node_668": { + "node_id": "node_668", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.05 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0542443749868, + "fos_buckling": 1.5225821890576077, + "fos_yielding": 2.011377320770607, + "deflection": 0.004043151928248724, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_667", + "improvement_over_parent": null + }, + "node_669": { + "node_id": "node_669", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_668", + "improvement_over_parent": null + }, + "node_670": { + "node_id": "node_670", + "content": "INITIAL DESIGN (Trace 97)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 220.38 kg\n Factor of Safety: 1.08\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": 220.37569721824877, + "fos_buckling": 1.077366231790764, + "fos_yielding": 1.5770918296904506, + "deflection": 0.005372277837858325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_671": { + "node_id": "node_671", + "content": "MODIFICATION: Increase 10 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 226.08 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": 226.07750132511018, + "fos_buckling": 1.2138987130194532, + "fos_yielding": 1.5933370971531846, + "deflection": 0.005194457504707015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.209)" + }, + "parent_node_id": "node_670", + "improvement_over_parent": null + }, + "node_672": { + "node_id": "node_672", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.37 kg\n Factor of Safety: 1.49\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": 288.3655639879808, + "fos_buckling": 1.4854173326201867, + "fos_yielding": 2.0286222330791177, + "deflection": 0.004087462405321914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_671", + "improvement_over_parent": null + }, + "node_673": { + "node_id": "node_673", + "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.35151185115603, + "fos_buckling": 1.5230175703851505, + "fos_yielding": 2.0133714091410884, + "deflection": 0.004039065322222901, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.282)" + }, + "parent_node_id": "node_672", + "improvement_over_parent": null + }, + "node_674": { + "node_id": "node_674", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_673", + "improvement_over_parent": null + }, + "node_675": { + "node_id": "node_675", + "content": "INITIAL DESIGN (Trace 98)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 146.22 kg\n Factor of Safety: 0.68\n Max Deflection: 8.56e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.21878051891792, + "fos_buckling": 0.6778385641122435, + "fos_yielding": 0.8891921944731775, + "deflection": 0.008564324191225853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_676": { + "node_id": "node_676", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 178.62 kg\n Factor of Safety: 0.81\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.62415415614703, + "fos_buckling": 0.8078607772166191, + "fos_yielding": 1.0897172110003621, + "deflection": 0.007026984204099902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_675", + "improvement_over_parent": null + }, + "node_677": { + "node_id": "node_677", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 185.75 kg\n Factor of Safety: 0.81\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.74993418940133, + "fos_buckling": 0.8074643816534298, + "fos_yielding": 1.0897172110003623, + "deflection": 0.006779807239127494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.321)" + }, + "parent_node_id": "node_676", + "improvement_over_parent": null + }, + "node_678": { + "node_id": "node_678", + "content": "MODIFICATION: Increase 5 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 188.11 kg\n Factor of Safety: 0.81\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.1087737253919, + "fos_buckling": 0.8074643816534299, + "fos_yielding": 1.631327489720059, + "deflection": 0.0067798072391274935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.529)" + }, + "parent_node_id": "node_677", + "improvement_over_parent": null + }, + "node_679": { + "node_id": "node_679", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n\nPerformance:\n Mass: 205.48 kg\n Factor of Safety: 1.12\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": 205.47637515703937, + "fos_buckling": 1.1231340199987343, + "fos_yielding": 1.4455544587825515, + "deflection": 0.005701717606881193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003370)" + }, + "parent_node_id": "node_678", + "improvement_over_parent": null + }, + "node_680": { + "node_id": "node_680", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 245.85 kg\n Factor of Safety: 1.31\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.85197060190183, + "fos_buckling": 1.3086982425370335, + "fos_yielding": 1.7275951135013543, + "deflection": 0.004776904952193233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_679", + "improvement_over_parent": null + }, + "node_681": { + "node_id": "node_681", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 252.42 kg\n Factor of Safety: 1.34\n Max Deflection: 4.65e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.42228939760486, + "fos_buckling": 1.3415307112969521, + "fos_yielding": 1.7421764166284488, + "deflection": 0.004646652315670376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.190)" + }, + "parent_node_id": "node_680", + "improvement_over_parent": null + }, + "node_682": { + "node_id": "node_682", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0074)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 296.00 kg\n Factor of Safety: 1.53\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": 295.9961792439166, + "fos_buckling": 1.528844679548146, + "fos_yielding": 2.0411769835094544, + "deflection": 0.003972958903125989, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_681", + "improvement_over_parent": null + }, + "node_683": { + "node_id": "node_683", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_682", + "improvement_over_parent": null + }, + "node_684": { + "node_id": "node_684", + "content": "INITIAL DESIGN (Trace 99)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 172.88 kg\n Factor of Safety: 0.97\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.87726421961025, + "fos_buckling": 0.9709088168867004, + "fos_yielding": 1.1897035071816258, + "deflection": 0.0068058633412317465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_685": { + "node_id": "node_685", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 218.05 kg\n Factor of Safety: 1.19\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": 218.04917753616422, + "fos_buckling": 1.1898671752553274, + "fos_yielding": 1.499037398103084, + "deflection": 0.00541014873766164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_684", + "improvement_over_parent": null + }, + "node_686": { + "node_id": "node_686", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0053)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 266.40 kg\n Factor of Safety: 1.41\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": 266.40244188703497, + "fos_buckling": 1.4085391359408004, + "fos_yielding": 1.8294590034677771, + "deflection": 0.004440635785788241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_685", + "improvement_over_parent": null + }, + "node_687": { + "node_id": "node_687", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.30816914952203, + "fos_buckling": 1.5232319457999626, + "fos_yielding": 2.013007388931392, + "deflection": 0.004039581791689198, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_686", + "improvement_over_parent": null + }, + "node_688": { + "node_id": "node_688", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_687", + "improvement_over_parent": null + }, + "node_689": { + "node_id": "node_689", + "content": "INITIAL DESIGN (Trace 100)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\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_690": { + "node_id": "node_690", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 181.76 kg\n Factor of Safety: 0.42\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.76090028278333, + "fos_buckling": 0.42180726214665387, + "fos_yielding": 1.6223597492520352, + "deflection": 0.0097477203178042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004077)" + }, + "parent_node_id": "node_689", + "improvement_over_parent": null + }, + "node_691": { + "node_id": "node_691", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 213.77 kg\n Factor of Safety: 0.49\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.76785948288446, + "fos_buckling": 0.48634309314991825, + "fos_yielding": 1.9040384583734091, + "deflection": 0.008299275766318882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_690", + "improvement_over_parent": null + }, + "node_692": { + "node_id": "node_692", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 244.75 kg\n Factor of Safety: 0.49\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.74640553196082, + "fos_buckling": 0.4853094412899849, + "fos_yielding": 1.9018841893715095, + "deflection": 0.007661436135604219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_691", + "improvement_over_parent": null + }, + "node_693": { + "node_id": "node_693", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 287.94 kg\n Factor of Safety: 1.48\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": 287.94446346941305, + "fos_buckling": 1.4821402265235286, + "fos_yielding": 2.011966634984961, + "deflection": 0.00409542505401479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_692", + "improvement_over_parent": null + }, + "node_694": { + "node_id": "node_694", + "content": "MODIFICATION: Increase 2 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.27099838726826, + "fos_buckling": 1.5230013307092367, + "fos_yielding": 2.012718510836694, + "deflection": 0.004040136997189626, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.284)" + }, + "parent_node_id": "node_693", + "improvement_over_parent": null + }, + "node_695": { + "node_id": "node_695", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_694", + "improvement_over_parent": null + }, + "node_696": { + "node_id": "node_696", + "content": "INITIAL DESIGN (Trace 101)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 217.68 kg\n Factor of Safety: 0.90\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": 217.6774285665362, + "fos_buckling": 0.9008743867014448, + "fos_yielding": 1.852750130677324, + "deflection": 0.005974330918990244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_697": { + "node_id": "node_697", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 233.50 kg\n Factor of Safety: 1.25\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.49714544812576, + "fos_buckling": 1.2488131399309823, + "fos_yielding": 1.6433062599284725, + "deflection": 0.005032191874317983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003052)" + }, + "parent_node_id": "node_696", + "improvement_over_parent": null + }, + "node_698": { + "node_id": "node_698", + "content": "MODIFICATION: Increase 3 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 234.88 kg\n Factor of Safety: 1.25\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": 234.87872567202248, + "fos_buckling": 1.2479695219055191, + "fos_yielding": 1.643627702240583, + "deflection": 0.004998212924473074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.266)" + }, + "parent_node_id": "node_697", + "improvement_over_parent": null + }, + "node_699": { + "node_id": "node_699", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0049)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n\nPerformance:\n Mass: 290.10 kg\n Factor of Safety: 1.49\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": 290.10319432138186, + "fos_buckling": 1.4861381799334037, + "fos_yielding": 2.0271621947645238, + "deflection": 0.004059891363783497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_698", + "improvement_over_parent": null + }, + "node_700": { + "node_id": "node_700", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_699", + "improvement_over_parent": null + }, + "node_701": { + "node_id": "node_701", + "content": "INITIAL DESIGN (Trace 102)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 201.97 kg\n Factor of Safety: 0.33\n Max Deflection: 3.09e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.96701740540433, + "fos_buckling": 0.3331164645661953, + "fos_yielding": 1.1679582027509328, + "deflection": 30872403404333.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_702": { + "node_id": "node_702", + "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 204.53 kg\n Factor of Safety: 0.33\n Max Deflection: 3.09e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.52514941011125, + "fos_buckling": 0.3331164645661953, + "fos_yielding": 1.1679582027509328, + "deflection": 30872403404333.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.379)" + }, + "parent_node_id": "node_701", + "improvement_over_parent": null + }, + "node_703": { + "node_id": "node_703", + "content": "MODIFICATION: Increase 7 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 218.90 kg\n Factor of Safety: 0.56\n Max Deflection: 8.78e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.89643742101532, + "fos_buckling": 0.5576038145080429, + "fos_yielding": 2.0686889293501767, + "deflection": 8782365616992.993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.522)" + }, + "parent_node_id": "node_702", + "improvement_over_parent": null + }, + "node_704": { + "node_id": "node_704", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 224.11 kg\n Factor of Safety: 0.64\n Max Deflection: 3.51e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.11026745482943, + "fos_buckling": 0.6388332993248058, + "fos_yielding": 1.500409828368501, + "deflection": 3506812961146.3306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_703", + "improvement_over_parent": null + }, + "node_705": { + "node_id": "node_705", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 250.01 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.0077045972192, + "fos_buckling": 0.5883794125746435, + "fos_yielding": 1.9005345497048243, + "deflection": 0.007194534835787123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_704", + "improvement_over_parent": null + }, + "node_706": { + "node_id": "node_706", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2057625346714, + "fos_buckling": 1.5224756955724097, + "fos_yielding": 2.0118198279489006, + "deflection": 0.0040410221065682725, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_705", + "improvement_over_parent": null + }, + "node_707": { + "node_id": "node_707", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_706", + "improvement_over_parent": null + }, + "node_708": { + "node_id": "node_708", + "content": "INITIAL DESIGN (Trace 103)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0016)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0021)]\n\nPerformance:\n Mass: 118.09 kg\n Factor of Safety: 0.42\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": 118.08978851596783, + "fos_buckling": 0.41765531104448395, + "fos_yielding": 1.0263008395471498, + "deflection": 0.015656958990385206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_709": { + "node_id": "node_709", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n\nPerformance:\n Mass: 146.58 kg\n Factor of Safety: 0.51\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": 146.57873861824436, + "fos_buckling": 0.511360061724461, + "fos_yielding": 1.272062175020698, + "deflection": 0.012614133957717695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_708", + "improvement_over_parent": null + }, + "node_710": { + "node_id": "node_710", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 175.21 kg\n Factor of Safety: 0.60\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.2068056479511, + "fos_buckling": 0.6027576038613985, + "fos_yielding": 1.5182779761334004, + "deflection": 0.0105529247198295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_709", + "improvement_over_parent": null + }, + "node_711": { + "node_id": "node_711", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 218.72 kg\n Factor of Safety: 0.74\n Max Deflection: 8.45e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.72218317901383, + "fos_buckling": 0.7363709917352811, + "fos_yielding": 1.8910631471747876, + "deflection": 0.008452720194130596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_710", + "improvement_over_parent": null + }, + "node_712": { + "node_id": "node_712", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 269.40 kg\n Factor of Safety: 0.88\n Max Deflection: 6.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.3973436198595, + "fos_buckling": 0.8838778722809145, + "fos_yielding": 2.3228712092907977, + "deflection": 0.0068613561835928726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_711", + "improvement_over_parent": null + }, + "node_713": { + "node_id": "node_713", + "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 280.67 kg\n Factor of Safety: 0.92\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.6739557135902, + "fos_buckling": 0.9230308677550556, + "fos_yielding": 2.276185762343752, + "deflection": 0.006196968723427648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.543)" + }, + "parent_node_id": "node_712", + "improvement_over_parent": null + }, + "node_714": { + "node_id": "node_714", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 285.89 kg\n Factor of Safety: 1.35\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": 285.8877857474043, + "fos_buckling": 1.3539053352943098, + "fos_yielding": 1.9927828654132642, + "deflection": 0.0041765464393139174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_713", + "improvement_over_parent": null + }, + "node_715": { + "node_id": "node_715", + "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0041)]\n\nPerformance:\n Mass: 286.97 kg\n Factor of Safety: 1.36\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.9664525744601, + "fos_buckling": 1.3649229426025442, + "fos_yielding": 1.9883956677586112, + "deflection": 0.004141600629980745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.233)" + }, + "parent_node_id": "node_714", + "improvement_over_parent": null + }, + "node_716": { + "node_id": "node_716", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_715", + "improvement_over_parent": null + }, + "node_717": { + "node_id": "node_717", + "content": "INITIAL DESIGN (Trace 104)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 113.34 kg\n Factor of Safety: 0.26\n Max Deflection: 2.41e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 113.34362390814306, + "fos_buckling": 0.26103561823826055, + "fos_yielding": 0.5626536856381877, + "deflection": 24099561537679.58, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_718": { + "node_id": "node_718", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 141.66 kg\n Factor of Safety: 1.02\n Max Deflection: 1.40e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.65865412064983, + "fos_buckling": 1.0191292692756928, + "fos_yielding": 1.661628834333767, + "deflection": 13975308249950.977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003844)" + }, + "parent_node_id": "node_717", + "improvement_over_parent": null + }, + "node_719": { + "node_id": "node_719", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 161.86 kg\n Factor of Safety: 0.52\n Max Deflection: 1.32e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.85975021791361, + "fos_buckling": 0.5157865967710236, + "fos_yielding": 1.1253073712763755, + "deflection": 13164708210883.78, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_718", + "improvement_over_parent": null + }, + "node_720": { + "node_id": "node_720", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 162.65 kg\n Factor of Safety: 0.25\n Max Deflection: 2.99e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.64515311402465, + "fos_buckling": 0.25138645567255824, + "fos_yielding": 0.5626536856381877, + "deflection": 29878992536210.79, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.279)" + }, + "parent_node_id": "node_719", + "improvement_over_parent": null + }, + "node_721": { + "node_id": "node_721", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 191.69 kg\n Factor of Safety: 0.25\n Max Deflection: 2.45e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.69175936896744, + "fos_buckling": 0.24578535342135072, + "fos_yielding": 0.5626536856381877, + "deflection": 24469758567371.01, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_720", + "improvement_over_parent": null + }, + "node_722": { + "node_id": "node_722", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 224.15 kg\n Factor of Safety: 0.48\n Max Deflection: 9.50e+12 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.15031906852343, + "fos_buckling": 0.4790528782540708, + "fos_yielding": 1.1253073712763755, + "deflection": 9497875029032.326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_721", + "improvement_over_parent": null + }, + "node_723": { + "node_id": "node_723", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 250.05 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.0477562109132, + "fos_buckling": 0.588377814252341, + "fos_yielding": 1.9006501064176877, + "deflection": 0.007193392162394282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_722", + "improvement_over_parent": null + }, + "node_724": { + "node_id": "node_724", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2458141483654, + "fos_buckling": 1.5230384404021555, + "fos_yielding": 2.0125580880689644, + "deflection": 0.0040403448446251575, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_723", + "improvement_over_parent": null + }, + "node_725": { + "node_id": "node_725", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_724", + "improvement_over_parent": null + }, + "node_726": { + "node_id": "node_726", + "content": "INITIAL DESIGN (Trace 105)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 212.57 kg\n Factor of Safety: 0.80\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": 212.5726329478444, + "fos_buckling": 0.803278848755022, + "fos_yielding": 1.698178702123694, + "deflection": 0.00794592535728083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_727": { + "node_id": "node_727", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 238.41 kg\n Factor of Safety: 0.89\n Max Deflection: 7.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.4101217054849, + "fos_buckling": 0.8862297722075823, + "fos_yielding": 1.9031882505505175, + "deflection": 0.0070908682524779805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_726", + "improvement_over_parent": null + }, + "node_728": { + "node_id": "node_728", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.12 kg\n Factor of Safety: 1.04\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": 288.1232013215428, + "fos_buckling": 1.0369655230917378, + "fos_yielding": 2.2967948724694494, + "deflection": 0.005877075312491649, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_727", + "improvement_over_parent": null + }, + "node_729": { + "node_id": "node_729", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.34 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3370313553569, + "fos_buckling": 1.523331290798355, + "fos_yielding": 2.0132322393365922, + "deflection": 0.004039243987712645, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_728", + "improvement_over_parent": null + }, + "node_730": { + "node_id": "node_730", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_729", + "improvement_over_parent": null + }, + "node_731": { + "node_id": "node_731", + "content": "INITIAL DESIGN (Trace 106)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 201.78 kg\n Factor of Safety: 1.01\n Max Deflection: 5.92e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.7823526912258, + "fos_buckling": 1.0092396987502599, + "fos_yielding": 1.401861802693991, + "deflection": 0.005917194674265179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_732": { + "node_id": "node_732", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 257.49 kg\n Factor of Safety: 1.27\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": 257.48707893176277, + "fos_buckling": 1.2656741874913755, + "fos_yielding": 1.7863023242439333, + "deflection": 0.004650442909656724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_731", + "improvement_over_parent": null + }, + "node_733": { + "node_id": "node_733", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 258.80 kg\n Factor of Safety: 1.38\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": 258.80140499958304, + "fos_buckling": 1.3752295231693261, + "fos_yielding": 1.7775723125870146, + "deflection": 0.004569060219184944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.433)" + }, + "parent_node_id": "node_732", + "improvement_over_parent": null + }, + "node_734": { + "node_id": "node_734", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.96 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.95859879519753, + "fos_buckling": 1.521767675945659, + "fos_yielding": 2.010632123498721, + "deflection": 0.004044335310438933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_733", + "improvement_over_parent": null + }, + "node_735": { + "node_id": "node_735", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 107)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 203.45 kg\n Factor of Safety: 0.91\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": 203.44688175619586, + "fos_buckling": 0.9089388746943743, + "fos_yielding": 1.0793338739022624, + "deflection": 0.005823762712141069, + "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 236.34 kg\n Factor of Safety: 1.04\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": 236.337293432334, + "fos_buckling": 1.0437970412268287, + "fos_yielding": 1.2563929313399684, + "deflection": 0.005022272927740494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_736", + "improvement_over_parent": null + }, + "node_738": { + "node_id": "node_738", + "content": "MODIFICATION: Increase 4 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 238.31 kg\n Factor of Safety: 1.09\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": 238.31243000514314, + "fos_buckling": 1.0948738484895795, + "fos_yielding": 1.2569823720853788, + "deflection": 0.0049410624388232256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.536)" + }, + "parent_node_id": "node_737", + "improvement_over_parent": null + }, + "node_739": { + "node_id": "node_739", + "content": "MODIFICATION: Increase 9 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 245.30 kg\n Factor of Safety: 1.08\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": 245.2972584257496, + "fos_buckling": 1.0830309051733646, + "fos_yielding": 1.2433859463395043, + "deflection": 0.00485930318002144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.393)" + }, + "parent_node_id": "node_738", + "improvement_over_parent": null + }, + "node_740": { + "node_id": "node_740", + "content": "MODIFICATION: Increase 6 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 247.62 kg\n Factor of Safety: 1.33\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.62189493917563, + "fos_buckling": 1.3254441320584844, + "fos_yielding": 1.699822653727493, + "deflection": 0.004772253803713046, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.412)" + }, + "parent_node_id": "node_739", + "improvement_over_parent": null + }, + "node_741": { + "node_id": "node_741", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.16381046507485, + "fos_buckling": 1.5225322359506281, + "fos_yielding": 2.0104141497979704, + "deflection": 0.004041560679049292, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_740", + "improvement_over_parent": null + }, + "node_742": { + "node_id": "node_742", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_741", + "improvement_over_parent": null + }, + "node_743": { + "node_id": "node_743", + "content": "INITIAL DESIGN (Trace 108)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 150.02 kg\n Factor of Safety: 0.71\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": 150.01980681147185, + "fos_buckling": 0.7148001894990177, + "fos_yielding": 1.417414800995378, + "deflection": 0.009036488498543093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_744": { + "node_id": "node_744", + "content": "MODIFICATION: Increase 2 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 152.66 kg\n Factor of Safety: 0.71\n Max Deflection: 8.94e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.66350818222207, + "fos_buckling": 0.7146697572159663, + "fos_yielding": 1.417414800995378, + "deflection": 0.008937533298481055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.252)" + }, + "parent_node_id": "node_743", + "improvement_over_parent": null + }, + "node_745": { + "node_id": "node_745", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 195.07 kg\n Factor of Safety: 0.88\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": 195.07458984808426, + "fos_buckling": 0.8836643305667283, + "fos_yielding": 1.8091337013373872, + "deflection": 0.00700349492122579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_744", + "improvement_over_parent": null + }, + "node_746": { + "node_id": "node_746", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 212.49 kg\n Factor of Safety: 1.23\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.48552186612972, + "fos_buckling": 1.2300964980443485, + "fos_yielding": 1.5800356424115651, + "deflection": 0.005636581109615582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002817)" + }, + "parent_node_id": "node_745", + "improvement_over_parent": null + }, + "node_747": { + "node_id": "node_747", + "content": "MODIFICATION: Increase 1 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 221.62 kg\n Factor of Safety: 1.20\n Max Deflection: 5.25e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.61582422643383, + "fos_buckling": 1.2016626464980913, + "fos_yielding": 1.613247766623037, + "deflection": 0.0052506721427270295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.527)" + }, + "parent_node_id": "node_746", + "improvement_over_parent": null + }, + "node_748": { + "node_id": "node_748", + "content": "MODIFICATION: Increase 9 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0070)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 235.49 kg\n Factor of Safety: 1.24\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": 235.4862049808608, + "fos_buckling": 1.2371432527814632, + "fos_yielding": 1.6392633108210783, + "deflection": 0.004961195646899238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.437)" + }, + "parent_node_id": "node_747", + "improvement_over_parent": null + }, + "node_749": { + "node_id": "node_749", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0090)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 297.72 kg\n Factor of Safety: 1.50\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": 297.7235379147864, + "fos_buckling": 1.5038587560345598, + "fos_yielding": 2.0713800902896016, + "deflection": 0.003937323411058022, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_748", + "improvement_over_parent": null + }, + "node_750": { + "node_id": "node_750", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0090)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 301.51 kg\n Factor of Safety: 1.53\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": 301.5111943330995, + "fos_buckling": 1.5345409273902537, + "fos_yielding": 2.071901739632052, + "deflection": 0.003899195000480472, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.188)" + }, + "parent_node_id": "node_749", + "improvement_over_parent": null + }, + "node_751": { + "node_id": "node_751", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_750", + "improvement_over_parent": null + }, + "node_752": { + "node_id": "node_752", + "content": "INITIAL DESIGN (Trace 109)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 171.65 kg\n Factor of Safety: 0.61\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.65220345903572, + "fos_buckling": 0.6097188496751146, + "fos_yielding": 1.7723302769328944, + "deflection": 0.008604292937058179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_753": { + "node_id": "node_753", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n\nPerformance:\n Mass: 191.70 kg\n Factor of Safety: 0.61\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.70398820087448, + "fos_buckling": 0.608877150755973, + "fos_yielding": 1.7723302769328944, + "deflection": 0.007222198738729238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003797)" + }, + "parent_node_id": "node_752", + "improvement_over_parent": null + }, + "node_754": { + "node_id": "node_754", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n\nPerformance:\n Mass: 209.76 kg\n Factor of Safety: 0.91\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.76154538517977, + "fos_buckling": 0.9093014864723832, + "fos_yielding": 1.5399906683099243, + "deflection": 0.005730056631646399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002927)" + }, + "parent_node_id": "node_753", + "improvement_over_parent": null + }, + "node_755": { + "node_id": "node_755", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 271.10 kg\n Factor of Safety: 1.15\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 271.10373309181995, + "fos_buckling": 1.1468965554165937, + "fos_yielding": 1.985408757205941, + "deflection": 0.004445770788371629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_754", + "improvement_over_parent": null + }, + "node_756": { + "node_id": "node_756", + "content": "MODIFICATION: Increase 10 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0059)]\n\nPerformance:\n Mass: 282.16 kg\n Factor of Safety: 1.22\n Max Deflection: 4.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.16012742155607, + "fos_buckling": 1.215728808087466, + "fos_yielding": 1.9544863907127006, + "deflection": 0.004314220396263874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.524)" + }, + "parent_node_id": "node_755", + "improvement_over_parent": null + }, + "node_757": { + "node_id": "node_757", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0068)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0059)]\n\nPerformance:\n Mass: 290.13 kg\n Factor of Safety: 1.21\n Max Deflection: 4.26e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.12922916063, + "fos_buckling": 1.2131814556435505, + "fos_yielding": 1.9550776151716311, + "deflection": 0.004259604067188257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.351)" + }, + "parent_node_id": "node_756", + "improvement_over_parent": null + }, + "node_758": { + "node_id": "node_758", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_757", + "improvement_over_parent": null + }, + "node_759": { + "node_id": "node_759", + "content": "INITIAL DESIGN (Trace 110)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\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_760": { + "node_id": "node_760", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 176.26 kg\n Factor of Safety: 0.80\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.2612100460753, + "fos_buckling": 0.8037578442705533, + "fos_yielding": 1.6204192930694543, + "deflection": 0.00704043722015461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003347)" + }, + "parent_node_id": "node_759", + "improvement_over_parent": null + }, + "node_761": { + "node_id": "node_761", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 198.19 kg\n Factor of Safety: 1.03\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": 198.18614956710428, + "fos_buckling": 1.0348062470764752, + "fos_yielding": 1.4344368831530059, + "deflection": 0.0059691179589449975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003594)" + }, + "parent_node_id": "node_760", + "improvement_over_parent": null + }, + "node_762": { + "node_id": "node_762", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 235.03 kg\n Factor of Safety: 1.21\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": 235.02574021871337, + "fos_buckling": 1.2135181553713335, + "fos_yielding": 1.6988192004625877, + "deflection": 0.005043297199518001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_761", + "improvement_over_parent": null + }, + "node_763": { + "node_id": "node_763", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 253.71 kg\n Factor of Safety: 1.22\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": 253.71336045437127, + "fos_buckling": 1.2230169133594002, + "fos_yielding": 1.7336137560850087, + "deflection": 0.004735991282384839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.565)" + }, + "parent_node_id": "node_762", + "improvement_over_parent": null + }, + "node_764": { + "node_id": "node_764", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0059)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 257.82 kg\n Factor of Safety: 1.22\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": 257.8210978317692, + "fos_buckling": 1.220144635713633, + "fos_yielding": 2.559536151844635, + "deflection": 0.004673746263741607, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.555)" + }, + "parent_node_id": "node_763", + "improvement_over_parent": null + }, + "node_765": { + "node_id": "node_765", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0071)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0098)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 306.23 kg\n Factor of Safety: 1.41\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": 306.2304532100875, + "fos_buckling": 1.4092812759955748, + "fos_yielding": 3.0127924655869536, + "deflection": 0.00394091435011959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_764", + "improvement_over_parent": null + }, + "node_766": { + "node_id": "node_766", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_765", + "improvement_over_parent": null + }, + "node_767": { + "node_id": "node_767", + "content": "INITIAL DESIGN (Trace 111)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\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_768": { + "node_id": "node_768", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 151.36 kg\n Factor of Safety: 0.98\n Max Deflection: 7.25e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.3582633262771, + "fos_buckling": 0.9775964782067289, + "fos_yielding": 2.250614742552751, + "deflection": 7251705408836.44, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004726)" + }, + "parent_node_id": "node_767", + "improvement_over_parent": null + }, + "node_769": { + "node_id": "node_769", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 173.00 kg\n Factor of Safety: 0.47\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": 173.00393565698656, + "fos_buckling": 0.4748437026159924, + "fos_yielding": 1.188165329560903, + "deflection": 0.012405462421779777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004270)" + }, + "parent_node_id": "node_768", + "improvement_over_parent": null + }, + "node_770": { + "node_id": "node_770", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 194.98 kg\n Factor of Safety: 0.52\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.97886444020492, + "fos_buckling": 0.5235494493657648, + "fos_yielding": 1.3378893611952898, + "deflection": 0.011025898348221942, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_769", + "improvement_over_parent": null + }, + "node_771": { + "node_id": "node_771", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 238.18 kg\n Factor of Safety: 0.52\n Max Deflection: 7.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.17692237765715, + "fos_buckling": 0.5219971044537415, + "fos_yielding": 1.5731719120480723, + "deflection": 0.007780850666105415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_770", + "improvement_over_parent": null + }, + "node_772": { + "node_id": "node_772", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.76 kg\n Factor of Safety: 1.50\n Max Deflection: 4.28e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 282.758853545603, + "fos_buckling": 1.502023681312825, + "fos_yielding": 2.0150931357021826, + "deflection": 0.004276375508957954, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_771", + "improvement_over_parent": null + }, + "node_773": { + "node_id": "node_773", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2536702459626, + "fos_buckling": 1.5229312764639629, + "fos_yielding": 2.0126877074767937, + "deflection": 0.004040309252062225, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.490)" + }, + "parent_node_id": "node_772", + "improvement_over_parent": null + }, + "node_774": { + "node_id": "node_774", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_773", + "improvement_over_parent": null + }, + "node_775": { + "node_id": "node_775", + "content": "INITIAL DESIGN (Trace 112)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 189.68 kg\n Factor of Safety: 0.89\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": 189.68218928225807, + "fos_buckling": 0.8859373130136341, + "fos_yielding": 1.9521832576898144, + "deflection": 0.006935527110670132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_776": { + "node_id": "node_776", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 210.47 kg\n Factor of Safety: 0.88\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.4749873928643, + "fos_buckling": 0.8846704808266579, + "fos_yielding": 1.7442152346531707, + "deflection": 0.006036533295601581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004088)" + }, + "parent_node_id": "node_775", + "improvement_over_parent": null + }, + "node_777": { + "node_id": "node_777", + "content": "MODIFICATION: Increase 5 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0063)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 215.22 kg\n Factor of Safety: 0.88\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": 215.22161531790914, + "fos_buckling": 0.8846704808266581, + "fos_yielding": 2.694934934114145, + "deflection": 0.005965647067247204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.637)" + }, + "parent_node_id": "node_776", + "improvement_over_parent": null + }, + "node_778": { + "node_id": "node_778", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0075)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 217.38 kg\n Factor of Safety: 0.88\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": 217.38311446494777, + "fos_buckling": 0.8846704808266581, + "fos_yielding": 3.1277073851819033, + "deflection": 0.005947652436318397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.193)" + }, + "parent_node_id": "node_777", + "improvement_over_parent": null + }, + "node_779": { + "node_id": "node_779", + "content": "MODIFICATION: Increase 8 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0075)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 237.35 kg\n Factor of Safety: 0.88\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.34808734332793, + "fos_buckling": 0.8834574899322979, + "fos_yielding": 3.1473022488473608, + "deflection": 0.005628356357168908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.597)" + }, + "parent_node_id": "node_778", + "improvement_over_parent": null + }, + "node_780": { + "node_id": "node_780", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0075)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 265.41 kg\n Factor of Safety: 1.07\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.4098545694752, + "fos_buckling": 1.074229940034073, + "fos_yielding": 2.296562263413353, + "deflection": 0.004586221094819524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004524)" + }, + "parent_node_id": "node_779", + "improvement_over_parent": null + }, + "node_781": { + "node_id": "node_781", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0089)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0100)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 310.27 kg\n Factor of Safety: 1.25\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 310.2651732348314, + "fos_buckling": 1.2489198458517452, + "fos_yielding": 2.706371439505822, + "deflection": 0.003927082335934438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_780", + "improvement_over_parent": null + }, + "node_782": { + "node_id": "node_782", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_781", + "improvement_over_parent": null + }, + "node_783": { + "node_id": "node_783", + "content": "INITIAL DESIGN (Trace 113)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 184.20 kg\n Factor of Safety: 0.64\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.2024521848137, + "fos_buckling": 0.6413921067379905, + "fos_yielding": 1.5554138541531988, + "deflection": 0.007368804835767012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_784": { + "node_id": "node_784", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 193.20 kg\n Factor of Safety: 0.84\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": 193.2001317388833, + "fos_buckling": 0.8369614288112772, + "fos_yielding": 1.555251207689829, + "deflection": 0.006661682923720037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.379)" + }, + "parent_node_id": "node_783", + "improvement_over_parent": null + }, + "node_785": { + "node_id": "node_785", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 242.26 kg\n Factor of Safety: 1.01\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": 242.25536625412678, + "fos_buckling": 1.0081636495882036, + "fos_yielding": 1.9462081065162211, + "deflection": 0.00532905867619802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_784", + "improvement_over_parent": null + }, + "node_786": { + "node_id": "node_786", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 252.94 kg\n Factor of Safety: 1.01\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": 252.9356926743618, + "fos_buckling": 1.00742533417712, + "fos_yielding": 1.9746220585678387, + "deflection": 0.0051510504834374905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.346)" + }, + "parent_node_id": "node_785", + "improvement_over_parent": null + }, + "node_787": { + "node_id": "node_787", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 285.85 kg\n Factor of Safety: 1.52\n Max Deflection: 4.19e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 285.8482293059788, + "fos_buckling": 1.5225018567822026, + "fos_yielding": 1.98734188227948, + "deflection": 0.0041938448507898105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_786", + "improvement_over_parent": null + }, + "node_788": { + "node_id": "node_788", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.11218383206125, + "fos_buckling": 1.5222832297736246, + "fos_yielding": 2.011556239325302, + "deflection": 0.004042351562420519, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.287)" + }, + "parent_node_id": "node_787", + "improvement_over_parent": null + }, + "node_789": { + "node_id": "node_789", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_788", + "improvement_over_parent": null + }, + "node_790": { + "node_id": "node_790", + "content": "INITIAL DESIGN (Trace 114)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 145.81 kg\n Factor of Safety: 0.40\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": 145.81158388159824, + "fos_buckling": 0.3962080211857901, + "fos_yielding": 1.153738323445422, + "deflection": 0.014626849580740398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_791": { + "node_id": "node_791", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 169.56 kg\n Factor of Safety: 0.45\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": 169.55546028103777, + "fos_buckling": 0.45283611232654275, + "fos_yielding": 1.337961789019174, + "deflection": 0.012599679522756872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_790", + "improvement_over_parent": null + }, + "node_792": { + "node_id": "node_792", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 176.78 kg\n Factor of Safety: 0.45\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": 176.78212565800698, + "fos_buckling": 0.45261054347069973, + "fos_yielding": 1.3379617890191708, + "deflection": 0.012604765731553884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.285)" + }, + "parent_node_id": "node_791", + "improvement_over_parent": null + }, + "node_793": { + "node_id": "node_793", + "content": "MODIFICATION: Increase 0 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 189.43 kg\n Factor of Safety: 0.45\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": 189.42535933022162, + "fos_buckling": 0.4522164450866814, + "fos_yielding": 1.3379617890191726, + "deflection": 0.012613664182356817, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.650)" + }, + "parent_node_id": "node_792", + "improvement_over_parent": null + }, + "node_794": { + "node_id": "node_794", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 232.62 kg\n Factor of Safety: 0.52\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.62341726767386, + "fos_buckling": 0.5220177307070251, + "fos_yielding": 1.5732820819753375, + "deflection": 0.00849616428008747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_793", + "improvement_over_parent": null + }, + "node_795": { + "node_id": "node_795", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0089)]\n\nPerformance:\n Mass: 249.39 kg\n Factor of Safety: 0.52\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.3927182307361, + "fos_buckling": 0.5214173425061731, + "fos_yielding": 1.5727184394828535, + "deflection": 0.008267811549163022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.447)" + }, + "parent_node_id": "node_794", + "improvement_over_parent": null + }, + "node_796": { + "node_id": "node_796", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0089)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.97 kg\n Factor of Safety: 1.46\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": 293.974649398682, + "fos_buckling": 1.4635641722249297, + "fos_yielding": 2.035974597837371, + "deflection": 0.003993986680243009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_795", + "improvement_over_parent": null + }, + "node_797": { + "node_id": "node_797", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0089)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 300.97 kg\n Factor of Safety: 1.46\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": 300.9686274843817, + "fos_buckling": 1.4604334367939609, + "fos_yielding": 2.036872156515923, + "deflection": 0.0039330562719288925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.406)" + }, + "parent_node_id": "node_796", + "improvement_over_parent": null + }, + "node_798": { + "node_id": "node_798", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 115)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 189.48 kg\n Factor of Safety: 1.05\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.48056414457085, + "fos_buckling": 1.053446036124167, + "fos_yielding": 1.2061527673044343, + "deflection": 0.006291218684323951, + "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 1 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 195.68 kg\n Factor of Safety: 1.05\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.67949698921336, + "fos_buckling": 1.0493597960020908, + "fos_yielding": 1.2240300599910854, + "deflection": 0.0059673628982050645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.361)" + }, + "parent_node_id": "node_799", + "improvement_over_parent": null + }, + "node_801": { + "node_id": "node_801", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 219.45 kg\n Factor of Safety: 1.16\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": 219.45496325741453, + "fos_buckling": 1.1585487093934368, + "fos_yielding": 1.373299068678725, + "deflection": 0.00532837942583176, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_800", + "improvement_over_parent": null + }, + "node_802": { + "node_id": "node_802", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.42 kg\n Factor of Safety: 1.42\n Max Deflection: 4.17e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.42011249174857, + "fos_buckling": 1.4248450182566625, + "fos_yielding": 1.7631178363529945, + "deflection": 0.004170417489405573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_801", + "improvement_over_parent": null + }, + "node_803": { + "node_id": "node_803", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.05 kg\n Factor of Safety: 1.45\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": 292.05266829811546, + "fos_buckling": 1.4484549353746345, + "fos_yielding": 1.7353317912747908, + "deflection": 0.004069465500838189, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.572)" + }, + "parent_node_id": "node_802", + "improvement_over_parent": null + }, + "node_804": { + "node_id": "node_804", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.47 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4698709069844, + "fos_buckling": 1.5235566617006897, + "fos_yielding": 2.013271974769246, + "deflection": 0.004037398711073818, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.182)" + }, + "parent_node_id": "node_803", + "improvement_over_parent": null + }, + "node_805": { + "node_id": "node_805", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 116)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 214.35 kg\n Factor of Safety: 0.48\n Max Deflection: 1.61e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.34588973595575, + "fos_buckling": 0.4791060841389439, + "fos_yielding": 1.1253073712763755, + "deflection": 16110727857780.656, + "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 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 238.73 kg\n Factor of Safety: 0.52\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.72736169678785, + "fos_buckling": 0.521934943119904, + "fos_yielding": 1.5729547774987567, + "deflection": 0.0077246160179878865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_806", + "improvement_over_parent": null + }, + "node_808": { + "node_id": "node_808", + "content": "MODIFICATION: Increase 7 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0071)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 248.16 kg\n Factor of Safety: 0.52\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.16265432885962, + "fos_buckling": 0.5215971580646085, + "fos_yielding": 1.5726378219012453, + "deflection": 0.007663637043353592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.326)" + }, + "parent_node_id": "node_807", + "improvement_over_parent": null + }, + "node_809": { + "node_id": "node_809", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0071)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.74 kg\n Factor of Safety: 1.35\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.7445854968055, + "fos_buckling": 1.352563479284048, + "fos_yielding": 2.015101387144684, + "deflection": 0.00414963077912952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_808", + "improvement_over_parent": null + }, + "node_810": { + "node_id": "node_810", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_809", + "improvement_over_parent": null + }, + "node_811": { + "node_id": "node_811", + "content": "INITIAL DESIGN (Trace 117)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 125.11 kg\n Factor of Safety: 0.57\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": 125.11043210987128, + "fos_buckling": 0.5690661140583784, + "fos_yielding": 1.1792732167010946, + "deflection": 0.011421293640552568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_812": { + "node_id": "node_812", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 139.29 kg\n Factor of Safety: 0.63\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.28593481658288, + "fos_buckling": 0.626829020760803, + "fos_yielding": 1.3126944320622875, + "deflection": 0.010270076578204244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_811", + "improvement_over_parent": null + }, + "node_813": { + "node_id": "node_813", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n\nPerformance:\n Mass: 153.26 kg\n Factor of Safety: 0.63\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.2559609985098, + "fos_buckling": 0.6262246541693968, + "fos_yielding": 1.148873699930942, + "deflection": 0.008675183063865456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002677)" + }, + "parent_node_id": "node_812", + "improvement_over_parent": null + }, + "node_814": { + "node_id": "node_814", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 176.84 kg\n Factor of Safety: 0.71\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.8390248438535, + "fos_buckling": 0.7108076289389482, + "fos_yielding": 1.3249047200131914, + "deflection": 0.007529249473385713, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_813", + "improvement_over_parent": null + }, + "node_815": { + "node_id": "node_815", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n\nPerformance:\n Mass: 193.97 kg\n Factor of Safety: 1.07\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.96748053776935, + "fos_buckling": 1.0749117928312513, + "fos_yielding": 1.3343329419518941, + "deflection": 0.006073142924871571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003210)" + }, + "parent_node_id": "node_814", + "improvement_over_parent": null + }, + "node_816": { + "node_id": "node_816", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 238.51 kg\n Factor of Safety: 1.28\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.5084666419249, + "fos_buckling": 1.2843669706358838, + "fos_yielding": 1.6390870364685224, + "deflection": 0.004951811134026674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_815", + "improvement_over_parent": null + }, + "node_817": { + "node_id": "node_817", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2463242136672, + "fos_buckling": 1.522969976124076, + "fos_yielding": 2.012770252243591, + "deflection": 0.004040307572026325, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_816", + "improvement_over_parent": null + }, + "node_818": { + "node_id": "node_818", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_817", + "improvement_over_parent": null + }, + "node_819": { + "node_id": "node_819", + "content": "INITIAL DESIGN (Trace 118)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 140.16 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": 140.15758075952905, + "fos_buckling": 0.3896360357761133, + "fos_yielding": 1.149901803255729, + "deflection": 0.013966299144962994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_820": { + "node_id": "node_820", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n\nPerformance:\n Mass: 166.71 kg\n Factor of Safety: 0.85\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": 166.70790717318394, + "fos_buckling": 0.852070867477914, + "fos_yielding": 1.2205655358679686, + "deflection": 0.00705065653942513, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003655)" + }, + "parent_node_id": "node_819", + "improvement_over_parent": null + }, + "node_821": { + "node_id": "node_821", + "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 174.13 kg\n Factor of Safety: 0.85\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.13499723906244, + "fos_buckling": 0.8535877904179969, + "fos_yielding": 1.2197594379201555, + "deflection": 0.006767028408874095, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.300)" + }, + "parent_node_id": "node_820", + "improvement_over_parent": null + }, + "node_822": { + "node_id": "node_822", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0050)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 184.88 kg\n Factor of Safety: 0.90\n Max Deflection: 6.58e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.88076116465754, + "fos_buckling": 0.9042227464251094, + "fos_yielding": 1.201322614366677, + "deflection": 0.006575334793712356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.616)" + }, + "parent_node_id": "node_821", + "improvement_over_parent": null + }, + "node_823": { + "node_id": "node_823", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0060)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0057)]\n\nPerformance:\n Mass: 218.10 kg\n Factor of Safety: 1.05\n Max Deflection: 5.58e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.10322437480497, + "fos_buckling": 1.0514414551305364, + "fos_yielding": 1.4180820603111743, + "deflection": 0.0055796264752418665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_822", + "improvement_over_parent": null + }, + "node_824": { + "node_id": "node_824", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0074)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0070)]\n\nPerformance:\n Mass: 264.95 kg\n Factor of Safety: 1.25\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": 264.94514215325006, + "fos_buckling": 1.251018628467922, + "fos_yielding": 1.7243910364650339, + "deflection": 0.004599689203633906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_823", + "improvement_over_parent": null + }, + "node_825": { + "node_id": "node_825", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0084)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0080)]\n\nPerformance:\n Mass: 299.28 kg\n Factor of Safety: 1.39\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.277302308767, + "fos_buckling": 1.3908321830945687, + "fos_yielding": 1.9495046229199007, + "deflection": 0.004076058992780806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_824", + "improvement_over_parent": null + }, + "node_826": { + "node_id": "node_826", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_825", + "improvement_over_parent": null + }, + "node_827": { + "node_id": "node_827", + "content": "INITIAL DESIGN (Trace 119)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 162.86 kg\n Factor of Safety: 0.69\n Max Deflection: 7.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.8584512797397, + "fos_buckling": 0.6918470491433175, + "fos_yielding": 1.297337989972962, + "deflection": 0.007876840522066919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_828": { + "node_id": "node_828", + "content": "MODIFICATION: Increase 3 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 166.88 kg\n Factor of Safety: 0.69\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": 166.88013053985375, + "fos_buckling": 0.6916551878259316, + "fos_yielding": 1.284147338519022, + "deflection": 0.007765362927506306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.366)" + }, + "parent_node_id": "node_827", + "improvement_over_parent": null + }, + "node_829": { + "node_id": "node_829", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 187.86 kg\n Factor of Safety: 0.77\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": 187.8613395912323, + "fos_buckling": 0.7669267308028126, + "fos_yielding": 1.444864034525623, + "deflection": 0.006907104972390447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_828", + "improvement_over_parent": null + }, + "node_830": { + "node_id": "node_830", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 222.29 kg\n Factor of Safety: 0.88\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": 222.28623388603793, + "fos_buckling": 0.8848551372079374, + "fos_yielding": 1.708206364415007, + "deflection": 0.005849917479403675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_829", + "improvement_over_parent": null + }, + "node_831": { + "node_id": "node_831", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.53 kg\n Factor of Safety: 1.01\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": 260.529786081055, + "fos_buckling": 1.0077942134524507, + "fos_yielding": 2.0002467865506746, + "deflection": 0.0050030456683465094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_830", + "improvement_over_parent": null + }, + "node_832": { + "node_id": "node_832", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.44 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.442322712672, + "fos_buckling": 1.5239098737136108, + "fos_yielding": 2.0140445684684285, + "deflection": 0.0040376554990637125, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_831", + "improvement_over_parent": null + }, + "node_833": { + "node_id": "node_833", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_832", + "improvement_over_parent": null + }, + "node_834": { + "node_id": "node_834", + "content": "INITIAL DESIGN (Trace 120)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 213.89 kg\n Factor of Safety: 0.48\n Max Deflection: 8.62e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.8865426286517, + "fos_buckling": 0.47573256698954686, + "fos_yielding": 1.405376502119896, + "deflection": 0.008616430066759006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_835": { + "node_id": "node_835", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 239.86 kg\n Factor of Safety: 0.52\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.85880471203475, + "fos_buckling": 0.522228112276544, + "fos_yielding": 1.5741567542163986, + "deflection": 0.007695301270739001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_834", + "improvement_over_parent": null + }, + "node_836": { + "node_id": "node_836", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.87 kg\n Factor of Safety: 0.52\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.87292493653544, + "fos_buckling": 0.5219052395237121, + "fos_yielding": 1.5738537207005816, + "deflection": 0.0075140596087111, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.289)" + }, + "parent_node_id": "node_835", + "improvement_over_parent": null + }, + "node_837": { + "node_id": "node_837", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.45 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.45485610448134, + "fos_buckling": 1.5231401002292144, + "fos_yielding": 2.0139304384849597, + "deflection": 0.0040376150331705545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_836", + "improvement_over_parent": null + }, + "node_838": { + "node_id": "node_838", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_837", + "improvement_over_parent": null + }, + "node_839": { + "node_id": "node_839", + "content": "INITIAL DESIGN (Trace 121)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\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_840": { + "node_id": "node_840", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 191.98 kg\n Factor of Safety: 0.96\n Max Deflection: 8.13e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.98115827832856, + "fos_buckling": 0.9582121682778878, + "fos_yielding": 2.250614742552751, + "deflection": 8127155151961.783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_839", + "improvement_over_parent": null + }, + "node_841": { + "node_id": "node_841", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0069)]\n\nPerformance:\n Mass: 200.27 kg\n Factor of Safety: 0.48\n Max Deflection: 1.42e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.26539412537448, + "fos_buckling": 0.4791060841389439, + "fos_yielding": 1.1253073712763755, + "deflection": 14175620113191.906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.285)" + }, + "parent_node_id": "node_840", + "improvement_over_parent": null + }, + "node_842": { + "node_id": "node_842", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0069)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 244.85 kg\n Factor of Safety: 1.01\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.84732529332035, + "fos_buckling": 1.0082098333322391, + "fos_yielding": 2.2880416016802037, + "deflection": 0.005935796872605997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_841", + "improvement_over_parent": null + }, + "node_843": { + "node_id": "node_843", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0069)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 269.23 kg\n Factor of Safety: 1.01\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.2287972541525, + "fos_buckling": 1.0065261808634955, + "fos_yielding": 2.016652569290787, + "deflection": 0.005073817917534733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_842", + "improvement_over_parent": null + }, + "node_844": { + "node_id": "node_844", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0069)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 295.13 kg\n Factor of Safety: 1.48\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": 295.12623439654226, + "fos_buckling": 1.4767082895612955, + "fos_yielding": 2.0308945876456037, + "deflection": 0.004040932364337041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_843", + "improvement_over_parent": null + }, + "node_845": { + "node_id": "node_845", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_844", + "improvement_over_parent": null + }, + "node_846": { + "node_id": "node_846", + "content": "INITIAL DESIGN (Trace 122)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 234.28 kg\n Factor of Safety: 0.52\n Max Deflection: 7.80e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.27500365538208, + "fos_buckling": 0.5163424000933757, + "fos_yielding": 1.6370861336092215, + "deflection": 0.007801089100608673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_847": { + "node_id": "node_847", + "content": "MODIFICATION: Increase 1 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 244.40 kg\n Factor of Safety: 0.52\n Max Deflection: 7.54e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.39935460657492, + "fos_buckling": 0.5159837837791322, + "fos_yielding": 1.6698547206726102, + "deflection": 0.007543424204726005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.445)" + }, + "parent_node_id": "node_846", + "improvement_over_parent": null + }, + "node_848": { + "node_id": "node_848", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 248.19 kg\n Factor of Safety: 0.59\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.18563752790678, + "fos_buckling": 0.5886146123074981, + "fos_yielding": 1.6697981319276023, + "deflection": 0.007232821093347157, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.188)" + }, + "parent_node_id": "node_847", + "improvement_over_parent": null + }, + "node_849": { + "node_id": "node_849", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.05 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.05133103704077, + "fos_buckling": 0.5886146123074982, + "fos_yielding": 1.9005296305768846, + "deflection": 0.007193065936604041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.253)" + }, + "parent_node_id": "node_848", + "improvement_over_parent": null + }, + "node_850": { + "node_id": "node_850", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.249388974493, + "fos_buckling": 1.5226810683666083, + "fos_yielding": 2.0114849925799727, + "deflection": 0.0040404009071681735, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_849", + "improvement_over_parent": null + }, + "node_851": { + "node_id": "node_851", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_850", + "improvement_over_parent": null + }, + "node_852": { + "node_id": "node_852", + "content": "INITIAL DESIGN (Trace 123)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 154.28 kg\n Factor of Safety: 0.35\n Max Deflection: 3.15e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.28284556800793, + "fos_buckling": 0.3548800134007816, + "fos_yielding": 1.2040202026132343, + "deflection": 0.03151644437047289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_853": { + "node_id": "node_853", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 173.13 kg\n Factor of Safety: 0.39\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": 173.12886881854544, + "fos_buckling": 0.3931274176077461, + "fos_yielding": 1.3497235271413524, + "deflection": 0.028100035362796903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_852", + "improvement_over_parent": null + }, + "node_854": { + "node_id": "node_854", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n\nPerformance:\n Mass: 203.67 kg\n Factor of Safety: 0.77\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.67256407470572, + "fos_buckling": 0.7739166414985701, + "fos_yielding": 1.6275290248449896, + "deflection": 0.008290808888682536, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004240)" + }, + "parent_node_id": "node_853", + "improvement_over_parent": null + }, + "node_855": { + "node_id": "node_855", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 254.79 kg\n Factor of Safety: 0.94\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.78800409896155, + "fos_buckling": 0.9371127074997048, + "fos_yielding": 2.033030974556116, + "deflection": 0.0066387562474093005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_854", + "improvement_over_parent": null + }, + "node_856": { + "node_id": "node_856", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 259.40 kg\n Factor of Safety: 1.38\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": 259.39936986598855, + "fos_buckling": 1.3778750089672307, + "fos_yielding": 1.7816961798826003, + "deflection": 0.004558718669823658, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002891)" + }, + "parent_node_id": "node_855", + "improvement_over_parent": null + }, + "node_857": { + "node_id": "node_857", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.39 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3932423951772, + "fos_buckling": 1.523592054192899, + "fos_yielding": 2.0136408695330457, + "deflection": 0.004038474069175331, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_856", + "improvement_over_parent": null + }, + "node_858": { + "node_id": "node_858", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_857", + "improvement_over_parent": null + }, + "node_859": { + "node_id": "node_859", + "content": "INITIAL DESIGN (Trace 124)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 127.92 kg\n Factor of Safety: 0.51\n Max Deflection: 1.45e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.92201797223082, + "fos_buckling": 0.5112731822781615, + "fos_yielding": 0.9258932140454466, + "deflection": 14473873803923.436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_860": { + "node_id": "node_860", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 142.40 kg\n Factor of Safety: 0.04\n Max Deflection: 1.88e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.39780251933328, + "fos_buckling": 0.04471946365527145, + "fos_yielding": 0.15432846121074012, + "deflection": 187679630191157.56, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_859", + "improvement_over_parent": null + }, + "node_861": { + "node_id": "node_861", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 179.34 kg\n Factor of Safety: 0.49\n Max Deflection: 1.33e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.34273019691003, + "fos_buckling": 0.4895522261762667, + "fos_yielding": 1.1253073712763755, + "deflection": 13291799043596.422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_860", + "improvement_over_parent": null + }, + "node_862": { + "node_id": "node_862", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n\nPerformance:\n Mass: 210.08 kg\n Factor of Safety: 0.76\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.0825486072357, + "fos_buckling": 0.7565217497515463, + "fos_yielding": 1.7149583835813382, + "deflection": 0.006462695976502574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004269)" + }, + "parent_node_id": "node_861", + "improvement_over_parent": null + }, + "node_863": { + "node_id": "node_863", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 239.34 kg\n Factor of Safety: 0.85\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": 239.3430070277675, + "fos_buckling": 0.8469027702427391, + "fos_yielding": 1.9512910880610128, + "deflection": 0.005678771680730251, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_862", + "improvement_over_parent": null + }, + "node_864": { + "node_id": "node_864", + "content": "MODIFICATION: Increase 1 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 252.34 kg\n Factor of Safety: 0.85\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.33534816111717, + "fos_buckling": 0.8461482591733246, + "fos_yielding": 2.000156008072447, + "deflection": 0.005375876456544959, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.645)" + }, + "parent_node_id": "node_863", + "improvement_over_parent": null + }, + "node_865": { + "node_id": "node_865", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 285.25 kg\n Factor of Safety: 1.34\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": 285.24788479273417, + "fos_buckling": 1.3446840534971545, + "fos_yielding": 2.015272797500265, + "deflection": 0.0041842880535236954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_864", + "improvement_over_parent": null + }, + "node_866": { + "node_id": "node_866", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0066)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 292.25 kg\n Factor of Safety: 1.34\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.25068217529906, + "fos_buckling": 1.3423197601097492, + "fos_yielding": 2.0009173834794027, + "deflection": 0.004139822435511985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.255)" + }, + "parent_node_id": "node_865", + "improvement_over_parent": null + }, + "node_867": { + "node_id": "node_867", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_866", + "improvement_over_parent": null + }, + "node_868": { + "node_id": "node_868", + "content": "INITIAL DESIGN (Trace 125)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 186.35 kg\n Factor of Safety: 0.72\n Max Deflection: 8.10e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.3475372992719, + "fos_buckling": 0.7224690072613434, + "fos_yielding": 2.0663757178066744, + "deflection": 0.008103404561019927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_869": { + "node_id": "node_869", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 196.92 kg\n Factor of Safety: 0.72\n Max Deflection: 7.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.92413489441603, + "fos_buckling": 0.72194312589355, + "fos_yielding": 2.0663757178066744, + "deflection": 0.007303799125892936, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.570)" + }, + "parent_node_id": "node_868", + "improvement_over_parent": null + }, + "node_870": { + "node_id": "node_870", + "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 205.83 kg\n Factor of Safety: 0.72\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.83097287777187, + "fos_buckling": 0.7215008604701854, + "fos_yielding": 2.066375717806675, + "deflection": 0.007309392454258267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.464)" + }, + "parent_node_id": "node_869", + "improvement_over_parent": null + }, + "node_871": { + "node_id": "node_871", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 227.86 kg\n Factor of Safety: 0.79\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.85853774227456, + "fos_buckling": 0.7904007512269909, + "fos_yielding": 2.285825807610903, + "deflection": 0.006609858933208502, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_870", + "improvement_over_parent": null + }, + "node_872": { + "node_id": "node_872", + "content": "MODIFICATION: Increase 8 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 241.32 kg\n Factor of Safety: 1.01\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.31911465340335, + "fos_buckling": 1.007875331740316, + "fos_yielding": 2.285825807610902, + "deflection": 0.00593800504767158, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.475)" + }, + "parent_node_id": "node_871", + "improvement_over_parent": null + }, + "node_873": { + "node_id": "node_873", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 242.83 kg\n Factor of Safety: 1.01\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.82775861421186, + "fos_buckling": 1.007875331740316, + "fos_yielding": 2.285825807610902, + "deflection": 0.005938005047671581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.299)" + }, + "parent_node_id": "node_872", + "improvement_over_parent": null + }, + "node_874": { + "node_id": "node_874", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 268.73 kg\n Factor of Safety: 1.07\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": 268.72519575660164, + "fos_buckling": 1.071338139600509, + "fos_yielding": 2.285825807610902, + "deflection": 0.004855447445749114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_873", + "improvement_over_parent": null + }, + "node_875": { + "node_id": "node_875", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.10666771743377, + "fos_buckling": 1.5219721659417935, + "fos_yielding": 2.011226619749387, + "deflection": 0.004042486004596224, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_874", + "improvement_over_parent": null + }, + "node_876": { + "node_id": "node_876", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 126)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 212.87 kg\n Factor of Safety: 0.86\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": 212.87214718013678, + "fos_buckling": 0.864543659454308, + "fos_yielding": 1.6289166667774881, + "deflection": 0.006303515357044718, + "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 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 256.43 kg\n Factor of Safety: 1.01\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": 256.4311046716336, + "fos_buckling": 1.0071655757639666, + "fos_yielding": 1.9596706050677342, + "deflection": 0.0052454777274614905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_877", + "improvement_over_parent": null + }, + "node_879": { + "node_id": "node_879", + "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.26 kg\n Factor of Safety: 1.01\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": 267.260735625756, + "fos_buckling": 1.006418414111396, + "fos_yielding": 1.9977659678013064, + "deflection": 0.00500991869850381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.490)" + }, + "parent_node_id": "node_878", + "improvement_over_parent": null + }, + "node_880": { + "node_id": "node_880", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1581727681458, + "fos_buckling": 1.5224228226065986, + "fos_yielding": 2.011888479126113, + "deflection": 0.004041597790893012, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_879", + "improvement_over_parent": null + }, + "node_881": { + "node_id": "node_881", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_880", + "improvement_over_parent": null + }, + "node_882": { + "node_id": "node_882", + "content": "INITIAL DESIGN (Trace 127)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 146.51 kg\n Factor of Safety: 0.77\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.508124954964, + "fos_buckling": 0.7656343932386112, + "fos_yielding": 1.047516616197981, + "deflection": 0.008133963550603055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_883": { + "node_id": "node_883", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 162.16 kg\n Factor of Safety: 0.84\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": 162.1562155535367, + "fos_buckling": 0.8405757224734033, + "fos_yielding": 1.1587849536206383, + "deflection": 0.007355073234271623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_882", + "improvement_over_parent": null + }, + "node_884": { + "node_id": "node_884", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 182.58 kg\n Factor of Safety: 0.94\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.58471016151415, + "fos_buckling": 0.9364338104636977, + "fos_yielding": 1.3038615177525434, + "deflection": 0.0065391347748585665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_883", + "improvement_over_parent": null + }, + "node_885": { + "node_id": "node_885", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 187.40 kg\n Factor of Safety: 1.06\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.39519796380412, + "fos_buckling": 1.0619147226635022, + "fos_yielding": 1.303063571463399, + "deflection": 0.006338939713696582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.218)" + }, + "parent_node_id": "node_884", + "improvement_over_parent": null + }, + "node_886": { + "node_id": "node_886", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 227.44 kg\n Factor of Safety: 1.26\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": 227.43632249867485, + "fos_buckling": 1.2551275840841756, + "fos_yielding": 1.579854573627235, + "deflection": 0.005234364872816132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_885", + "improvement_over_parent": null + }, + "node_887": { + "node_id": "node_887", + "content": "MODIFICATION: Increase 1 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.99 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": 231.99475971181417, + "fos_buckling": 1.2546566968005202, + "fos_yielding": 1.5944786343314656, + "deflection": 0.00508909538436708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.211)" + }, + "parent_node_id": "node_886", + "improvement_over_parent": null + }, + "node_888": { + "node_id": "node_888", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 262.34 kg\n Factor of Safety: 1.39\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": 262.33931268227764, + "fos_buckling": 1.3908517788529926, + "fos_yielding": 1.8017998285281147, + "deflection": 0.004508380544211475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_887", + "improvement_over_parent": null + }, + "node_889": { + "node_id": "node_889", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.61 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.6092825484693, + "fos_buckling": 1.5245570699187305, + "fos_yielding": 2.015146928397232, + "deflection": 0.004035536361575366, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_888", + "improvement_over_parent": null + }, + "node_890": { + "node_id": "node_890", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_889", + "improvement_over_parent": null + }, + "node_891": { + "node_id": "node_891", + "content": "INITIAL DESIGN (Trace 128)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n\nPerformance:\n Mass: 228.62 kg\n Factor of Safety: 0.44\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.61514664085337, + "fos_buckling": 0.4433396673886835, + "fos_yielding": 1.366993734660522, + "deflection": 0.010240475203164805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_892": { + "node_id": "node_892", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 232.91 kg\n Factor of Safety: 0.44\n Max Deflection: 9.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.91261158832677, + "fos_buckling": 0.4432088479938575, + "fos_yielding": 1.5742082809162878, + "deflection": 0.009241969697625496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.297)" + }, + "parent_node_id": "node_891", + "improvement_over_parent": null + }, + "node_893": { + "node_id": "node_893", + "content": "MODIFICATION: Increase 3 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 237.26 kg\n Factor of Safety: 0.52\n Max Deflection: 8.82e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.2587689756921, + "fos_buckling": 0.5223073978536275, + "fos_yielding": 1.5737696207963279, + "deflection": 0.00882472824287291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.238)" + }, + "parent_node_id": "node_892", + "improvement_over_parent": null + }, + "node_894": { + "node_id": "node_894", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.84 kg\n Factor of Safety: 1.44\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": 281.840700143638, + "fos_buckling": 1.4358343196035581, + "fos_yielding": 2.0492644805975657, + "deflection": 0.004156987066481506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_893", + "improvement_over_parent": null + }, + "node_895": { + "node_id": "node_895", + "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25110005204914, + "fos_buckling": 1.5230594517365013, + "fos_yielding": 2.012383547993458, + "deflection": 0.004040485174776328, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.639)" + }, + "parent_node_id": "node_894", + "improvement_over_parent": null + }, + "node_896": { + "node_id": "node_896", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 129)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 124.98 kg\n Factor of Safety: 0.05\n Max Deflection: 1.62e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.98265921419497, + "fos_buckling": 0.05393537994620224, + "fos_yielding": 0.1931677428375223, + "deflection": 161951521044542.34, + "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 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 155.30 kg\n Factor of Safety: 1.48\n Max Deflection: 4.11e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.29661754391452, + "fos_buckling": 1.4782436174565738, + "fos_yielding": 1.3765439661736836, + "deflection": 41147401410598.266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_897", + "improvement_over_parent": null + }, + "node_899": { + "node_id": "node_899", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 178.15 kg\n Factor of Safety: 0.04\n Max Deflection: 5.95e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.14654110260906, + "fos_buckling": 0.036714275168125, + "fos_yielding": 0.09865851844273583, + "deflection": 594921358742742.6, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_898", + "improvement_over_parent": null + }, + "node_900": { + "node_id": "node_900", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 217.29 kg\n Factor of Safety: 0.91\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.29463673557052, + "fos_buckling": 0.9066685950806374, + "fos_yielding": 1.9962093937947467, + "deflection": 0.007149508140099289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005436)" + }, + "parent_node_id": "node_899", + "improvement_over_parent": null + }, + "node_901": { + "node_id": "node_901", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 221.87 kg\n Factor of Safety: 0.91\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": 221.8736477542268, + "fos_buckling": 0.9060980896023814, + "fos_yielding": 1.756499897872271, + "deflection": 0.006147874211698986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002869)" + }, + "parent_node_id": "node_900", + "improvement_over_parent": null + }, + "node_902": { + "node_id": "node_902", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 250.78 kg\n Factor of Safety: 1.37\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": 250.77633139614971, + "fos_buckling": 1.366480942193967, + "fos_yielding": 1.7699306025732076, + "deflection": 0.0047710934336909604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004671)" + }, + "parent_node_id": "node_901", + "improvement_over_parent": null + }, + "node_903": { + "node_id": "node_903", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 257.48 kg\n Factor of Safety: 1.37\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.48310228402073, + "fos_buckling": 1.3694427655827421, + "fos_yielding": 1.7685296476832597, + "deflection": 0.0045921101095399135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.314)" + }, + "parent_node_id": "node_902", + "improvement_over_parent": null + }, + "node_904": { + "node_id": "node_904", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1064524941291, + "fos_buckling": 1.5224148177589205, + "fos_yielding": 2.0115947193981176, + "deflection": 0.0040423367612493575, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_903", + "improvement_over_parent": null + }, + "node_905": { + "node_id": "node_905", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 130)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 172.26 kg\n Factor of Safety: 0.43\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.26235555396337, + "fos_buckling": 0.43031633950026826, + "fos_yielding": 1.3149307568673891, + "deflection": 0.010394963720290095, + "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 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 201.43 kg\n Factor of Safety: 0.49\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.42673440557513, + "fos_buckling": 0.4922053292859922, + "fos_yielding": 1.5351231469304036, + "deflection": 0.00890490685666688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_906", + "improvement_over_parent": null + }, + "node_908": { + "node_id": "node_908", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 236.21 kg\n Factor of Safety: 1.27\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": 236.21184355700686, + "fos_buckling": 1.2739630206589942, + "fos_yielding": 1.6233342480254482, + "deflection": 0.004999467107571777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004873)" + }, + "parent_node_id": "node_907", + "improvement_over_parent": null + }, + "node_909": { + "node_id": "node_909", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.43 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.43450994913167, + "fos_buckling": 1.5238249803731214, + "fos_yielding": 2.013987470892367, + "deflection": 0.0040379008789674644, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_908", + "improvement_over_parent": null + }, + "node_910": { + "node_id": "node_910", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_909", + "improvement_over_parent": null + }, + "node_911": { + "node_id": "node_911", + "content": "INITIAL DESIGN (Trace 131)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 189.42 kg\n Factor of Safety: 0.84\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.42228918604815, + "fos_buckling": 0.8400294359428154, + "fos_yielding": 1.834577264580653, + "deflection": 0.007371687200761587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_912": { + "node_id": "node_912", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 236.35 kg\n Factor of Safety: 1.01\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.35047689577698, + "fos_buckling": 1.0088125188212647, + "fos_yielding": 2.2881120977253206, + "deflection": 0.005928549583824566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_911", + "improvement_over_parent": null + }, + "node_913": { + "node_id": "node_913", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 262.25 kg\n Factor of Safety: 1.07\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": 262.24791403816675, + "fos_buckling": 1.072604119688411, + "fos_yielding": 2.2881120977253206, + "deflection": 0.004851324431827347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_912", + "improvement_over_parent": null + }, + "node_914": { + "node_id": "node_914", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22646008724314, + "fos_buckling": 1.5228938449678717, + "fos_yielding": 2.012481555149479, + "deflection": 0.004040667167501362, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_913", + "improvement_over_parent": null + }, + "node_915": { + "node_id": "node_915", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_914", + "improvement_over_parent": null + }, + "node_916": { + "node_id": "node_916", + "content": "INITIAL DESIGN (Trace 132)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_917": { + "node_id": "node_917", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 225.65 kg\n Factor of Safety: 0.59\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.6452106884099, + "fos_buckling": 0.5893898008204329, + "fos_yielding": 1.9022261790645885, + "deflection": 0.007834986126196729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_916", + "improvement_over_parent": null + }, + "node_918": { + "node_id": "node_918", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 250.03 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.026682649242, + "fos_buckling": 0.588404257548681, + "fos_yielding": 1.9005332709357854, + "deflection": 0.007194086053073488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_917", + "improvement_over_parent": null + }, + "node_919": { + "node_id": "node_919", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2247405866942, + "fos_buckling": 1.5228703082961736, + "fos_yielding": 2.012446812636766, + "deflection": 0.004040692938362698, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_918", + "improvement_over_parent": null + }, + "node_920": { + "node_id": "node_920", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_919", + "improvement_over_parent": null + }, + "node_921": { + "node_id": "node_921", + "content": "INITIAL DESIGN (Trace 133)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 185.43 kg\n Factor of Safety: 0.33\n Max Deflection: 2.65e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.4342734575897, + "fos_buckling": 0.3298593943317397, + "fos_yielding": 1.4476748641826913, + "deflection": 0.026503511204007898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_922": { + "node_id": "node_922", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n\nPerformance:\n Mass: 219.40 kg\n Factor of Safety: 0.85\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.4016993704338, + "fos_buckling": 0.8472287761093535, + "fos_yielding": 1.8071472012364937, + "deflection": 0.007457949121782193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004750)" + }, + "parent_node_id": "node_921", + "improvement_over_parent": null + }, + "node_923": { + "node_id": "node_923", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 247.37 kg\n Factor of Safety: 0.94\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.369961906222, + "fos_buckling": 0.9375442855316741, + "fos_yielding": 2.0353656387403887, + "deflection": 0.00662212917421627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_922", + "improvement_over_parent": null + }, + "node_924": { + "node_id": "node_924", + "content": "MODIFICATION: Increase 2 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 255.28 kg\n Factor of Safety: 0.94\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": 255.28151074844146, + "fos_buckling": 0.9387337102605586, + "fos_yielding": 2.037009266487715, + "deflection": 0.006625567254916239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.570)" + }, + "parent_node_id": "node_923", + "improvement_over_parent": null + }, + "node_925": { + "node_id": "node_925", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 288.27 kg\n Factor of Safety: 1.04\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.2693982181074, + "fos_buckling": 1.0374359174371957, + "fos_yielding": 2.298079750180907, + "deflection": 0.005873794537615074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_924", + "improvement_over_parent": null + }, + "node_926": { + "node_id": "node_926", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.48 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4832282519215, + "fos_buckling": 1.523991223791206, + "fos_yielding": 2.014374343419146, + "deflection": 0.00403725377229114, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_925", + "improvement_over_parent": null + }, + "node_927": { + "node_id": "node_927", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 134)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n\nPerformance:\n Mass: 126.92 kg\n Factor of Safety: 0.31\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.92167774834087, + "fos_buckling": 0.30934561925898474, + "fos_yielding": 0.8581450736319579, + "deflection": 0.014166609046453081, + "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: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 147.65 kg\n Factor of Safety: 0.35\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": 147.6480610364566, + "fos_buckling": 0.35393532336379685, + "fos_yielding": 0.9972274925257429, + "deflection": 0.012193928092100141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_928", + "improvement_over_parent": null + }, + "node_930": { + "node_id": "node_930", + "content": "MODIFICATION: Increase 2 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 150.63 kg\n Factor of Safety: 0.35\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": 150.63456158040339, + "fos_buckling": 0.35386235408821415, + "fos_yielding": 0.9971636961948853, + "deflection": 0.012096315647214124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.300)" + }, + "parent_node_id": "node_929", + "improvement_over_parent": null + }, + "node_931": { + "node_id": "node_931", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 154.18 kg\n Factor of Safety: 0.35\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.18129062750785, + "fos_buckling": 0.35377573580273675, + "fos_yielding": 0.99708794310761, + "deflection": 0.011895722410199663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.209)" + }, + "parent_node_id": "node_930", + "improvement_over_parent": null + }, + "node_932": { + "node_id": "node_932", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 182.37 kg\n Factor of Safety: 1.01\n Max Deflection: 6.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.37084383916766, + "fos_buckling": 1.0092115839214995, + "fos_yielding": 1.2748685259250006, + "deflection": 0.0064284780096968515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003826)" + }, + "parent_node_id": "node_931", + "improvement_over_parent": null + }, + "node_933": { + "node_id": "node_933", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 185.35 kg\n Factor of Safety: 1.03\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.34919625429745, + "fos_buckling": 1.0330473167254195, + "fos_yielding": 1.2752999387693797, + "deflection": 0.006352466328052404, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.235)" + }, + "parent_node_id": "node_932", + "improvement_over_parent": null + }, + "node_934": { + "node_id": "node_934", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 227.56 kg\n Factor of Safety: 1.23\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.5588001911898, + "fos_buckling": 1.2344471293754984, + "fos_yielding": 1.564231150266878, + "deflection": 0.005186883091737165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.244)" + }, + "parent_node_id": "node_933", + "improvement_over_parent": null + }, + "node_935": { + "node_id": "node_935", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0737546844925, + "fos_buckling": 1.52258330278587, + "fos_yielding": 2.0116009128155485, + "deflection": 0.0040427245251822, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_934", + "improvement_over_parent": null + }, + "node_936": { + "node_id": "node_936", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_935", + "improvement_over_parent": null + }, + "node_937": { + "node_id": "node_937", + "content": "INITIAL DESIGN (Trace 135)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0011)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 130.58 kg\n Factor of Safety: 0.37\n Max Deflection: 1.45e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.58045243296806, + "fos_buckling": 0.3710272618460172, + "fos_yielding": 1.1130319110295257, + "deflection": 0.014455825196147411, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_938": { + "node_id": "node_938", + "content": "MODIFICATION: Increase 3 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 133.86 kg\n Factor of Safety: 0.37\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.8561615860814, + "fos_buckling": 0.37094326748325807, + "fos_yielding": 1.112897950065416, + "deflection": 0.014302697182313093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.575)" + }, + "parent_node_id": "node_937", + "improvement_over_parent": null + }, + "node_939": { + "node_id": "node_939", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 165.15 kg\n Factor of Safety: 0.45\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.14877331458428, + "fos_buckling": 0.44602069289742224, + "fos_yielding": 1.3698110984374228, + "deflection": 0.011601401329489414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_938", + "improvement_over_parent": null + }, + "node_940": { + "node_id": "node_940", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 173.17 kg\n Factor of Safety: 0.45\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.17280952802082, + "fos_buckling": 0.44577400020867175, + "fos_yielding": 1.3686026019571365, + "deflection": 0.010093519797019621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.548)" + }, + "parent_node_id": "node_939", + "improvement_over_parent": null + }, + "node_941": { + "node_id": "node_941", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 212.73 kg\n Factor of Safety: 0.53\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.73400075801118, + "fos_buckling": 0.5306667091763781, + "fos_yielding": 1.6769751740792127, + "deflection": 0.008237218521097506, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_940", + "improvement_over_parent": null + }, + "node_942": { + "node_id": "node_942", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 250.80 kg\n Factor of Safety: 1.23\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.7977946104473, + "fos_buckling": 1.2313258289241562, + "fos_yielding": 1.799860123908967, + "deflection": 0.004685828759522618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005371)" + }, + "parent_node_id": "node_941", + "improvement_over_parent": null + }, + "node_943": { + "node_id": "node_943", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 258.30 kg\n Factor of Safety: 1.37\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": 258.29842624931644, + "fos_buckling": 1.372954897739173, + "fos_yielding": 1.7737072100914901, + "deflection": 0.004577980391258669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.580)" + }, + "parent_node_id": "node_942", + "improvement_over_parent": null + }, + "node_944": { + "node_id": "node_944", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0933942464984, + "fos_buckling": 1.5222756957235517, + "fos_yielding": 2.011069367658805, + "deflection": 0.00404264315595374, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_943", + "improvement_over_parent": null + }, + "node_945": { + "node_id": "node_945", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 136)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 209.74 kg\n Factor of Safety: 0.70\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": 209.7356588754436, + "fos_buckling": 0.7002364495623362, + "fos_yielding": 1.6209487559948552, + "deflection": 0.006642590623502473, + "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: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 230.71 kg\n Factor of Safety: 1.12\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": 230.71494069067336, + "fos_buckling": 1.1157233623459366, + "fos_yielding": 1.6335661906047885, + "deflection": 0.005159465430643083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003986)" + }, + "parent_node_id": "node_946", + "improvement_over_parent": null + }, + "node_948": { + "node_id": "node_948", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 285.07 kg\n Factor of Safety: 1.34\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.0659273355102, + "fos_buckling": 1.3410601176907997, + "fos_yielding": 2.0148607707684607, + "deflection": 0.0041879529718220525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_947", + "improvement_over_parent": null + }, + "node_949": { + "node_id": "node_949", + "content": "MODIFICATION: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0068)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.67 kg\n Factor of Safety: 1.38\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": 292.67359538353116, + "fos_buckling": 1.3832445545956062, + "fos_yielding": 2.0155083747079496, + "deflection": 0.004126840901235657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.261)" + }, + "parent_node_id": "node_948", + "improvement_over_parent": null + }, + "node_950": { + "node_id": "node_950", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_949", + "improvement_over_parent": null + }, + "node_951": { + "node_id": "node_951", + "content": "INITIAL DESIGN (Trace 137)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 202.36 kg\n Factor of Safety: 0.94\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": 202.36145100451313, + "fos_buckling": 0.9401869868578854, + "fos_yielding": 1.4868497023560192, + "deflection": 0.005947600143065013, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_952": { + "node_id": "node_952", + "content": "MODIFICATION: Increase 1 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 207.15 kg\n Factor of Safety: 0.91\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.14620926343923, + "fos_buckling": 0.9091130154484599, + "fos_yielding": 1.4986065030905074, + "deflection": 0.005815938889227424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.232)" + }, + "parent_node_id": "node_951", + "improvement_over_parent": null + }, + "node_953": { + "node_id": "node_953", + "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 212.01 kg\n Factor of Safety: 0.91\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.01256560641502, + "fos_buckling": 0.9071498425312775, + "fos_yielding": 1.4992012310232945, + "deflection": 0.005728476970485257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.348)" + }, + "parent_node_id": "node_952", + "improvement_over_parent": null + }, + "node_954": { + "node_id": "node_954", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 241.67 kg\n Factor of Safety: 1.02\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.67467538539876, + "fos_buckling": 1.022922386393648, + "fos_yielding": 1.7075020389836608, + "deflection": 0.005031954166599929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_953", + "improvement_over_parent": null + }, + "node_955": { + "node_id": "node_955", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 248.43 kg\n Factor of Safety: 1.19\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": 248.43143299480283, + "fos_buckling": 1.1908113236051758, + "fos_yielding": 1.73495875329399, + "deflection": 0.004800536858325405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.290)" + }, + "parent_node_id": "node_954", + "improvement_over_parent": null + }, + "node_956": { + "node_id": "node_956", + "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 255.77 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": 255.77499395451284, + "fos_buckling": 1.3616895912585638, + "fos_yielding": 1.7567660248454977, + "deflection": 0.0046222231073768235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.252)" + }, + "parent_node_id": "node_955", + "improvement_over_parent": null + }, + "node_957": { + "node_id": "node_957", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25727790020267, + "fos_buckling": 1.5228275322140605, + "fos_yielding": 2.0125114313007333, + "deflection": 0.004040210504873515, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_956", + "improvement_over_parent": null + }, + "node_958": { + "node_id": "node_958", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_957", + "improvement_over_parent": null + }, + "node_959": { + "node_id": "node_959", + "content": "INITIAL DESIGN (Trace 138)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 181.22 kg\n Factor of Safety: 0.80\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.2249973640354, + "fos_buckling": 0.8025263910581916, + "fos_yielding": 1.6177734441498461, + "deflection": 0.007148411860406134, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_960": { + "node_id": "node_960", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 182.38 kg\n Factor of Safety: 0.80\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.38456937727258, + "fos_buckling": 0.8023981827812039, + "fos_yielding": 1.6177734441498457, + "deflection": 0.007105720130611937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.488)" + }, + "parent_node_id": "node_959", + "improvement_over_parent": null + }, + "node_961": { + "node_id": "node_961", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 190.03 kg\n Factor of Safety: 0.80\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.0259720761558, + "fos_buckling": 0.8019760359839887, + "fos_yielding": 1.6177734441498461, + "deflection": 0.0068318462143238815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.355)" + }, + "parent_node_id": "node_960", + "improvement_over_parent": null + }, + "node_962": { + "node_id": "node_962", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 207.26 kg\n Factor of Safety: 1.14\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": 207.25804278220184, + "fos_buckling": 1.138837134555378, + "fos_yielding": 1.4251701076507866, + "deflection": 0.005688192160746909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003342)" + }, + "parent_node_id": "node_961", + "improvement_over_parent": null + }, + "node_963": { + "node_id": "node_963", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 262.46 kg\n Factor of Safety: 1.39\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": 262.464998711211, + "fos_buckling": 1.3913186510381779, + "fos_yielding": 1.8025450376846686, + "deflection": 0.0045061700653417774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_962", + "improvement_over_parent": null + }, + "node_964": { + "node_id": "node_964", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5121342453579, + "fos_buckling": 1.5240632868867299, + "fos_yielding": 2.0143599464710915, + "deflection": 0.004036774878896448, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_963", + "improvement_over_parent": null + }, + "node_965": { + "node_id": "node_965", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_964", + "improvement_over_parent": null + }, + "node_966": { + "node_id": "node_966", + "content": "INITIAL DESIGN (Trace 139)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 217.45 kg\n Factor of Safety: 0.48\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.45346275145516, + "fos_buckling": 0.47859062287474236, + "fos_yielding": 1.415688514467393, + "deflection": 0.008406285552847685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_967": { + "node_id": "node_967", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 241.66 kg\n Factor of Safety: 0.52\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.65747229207258, + "fos_buckling": 0.5214980156674938, + "fos_yielding": 1.5716571636716805, + "deflection": 0.0075760479152586595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_966", + "improvement_over_parent": null + }, + "node_968": { + "node_id": "node_968", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.43 kg\n Factor of Safety: 0.52\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": 248.43095523619698, + "fos_buckling": 0.5212557314503783, + "fos_yielding": 1.5714298136434792, + "deflection": 0.0075262631260875085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.285)" + }, + "parent_node_id": "node_967", + "improvement_over_parent": null + }, + "node_969": { + "node_id": "node_969", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.01 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0128864041429, + "fos_buckling": 1.5226938465515374, + "fos_yielding": 2.011001807645589, + "deflection": 0.00404337508792708, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_968", + "improvement_over_parent": null + }, + "node_970": { + "node_id": "node_970", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_969", + "improvement_over_parent": null + }, + "node_971": { + "node_id": "node_971", + "content": "INITIAL DESIGN (Trace 140)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\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_972": { + "node_id": "node_972", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n\nPerformance:\n Mass: 142.06 kg\n Factor of Safety: 0.61\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.05959821149204, + "fos_buckling": 0.6123235331909301, + "fos_yielding": 0.950771104122812, + "deflection": 0.010239691603097423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002886)" + }, + "parent_node_id": "node_971", + "improvement_over_parent": null + }, + "node_973": { + "node_id": "node_973", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n\nPerformance:\n Mass: 156.53 kg\n Factor of Safety: 0.85\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.5341789393838, + "fos_buckling": 0.8545813684882438, + "fos_yielding": 0.9587208236547388, + "deflection": 0.007720549901988838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002688)" + }, + "parent_node_id": "node_972", + "improvement_over_parent": null + }, + "node_974": { + "node_id": "node_974", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n\nPerformance:\n Mass: 193.90 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": 193.89503402279857, + "fos_buckling": 1.0394538124899935, + "fos_yielding": 1.1883440483163965, + "deflection": 0.006243915607273338, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_973", + "improvement_over_parent": null + }, + "node_975": { + "node_id": "node_975", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 231.97 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": 231.9692981145783, + "fos_buckling": 1.2202562951216454, + "fos_yielding": 1.422777898343307, + "deflection": 0.0052283467363929215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_974", + "improvement_over_parent": null + }, + "node_976": { + "node_id": "node_976", + "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 241.37 kg\n Factor of Safety: 1.22\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": 241.3726689647325, + "fos_buckling": 1.218671254333995, + "fos_yielding": 1.4209297939658436, + "deflection": 0.004910983966235201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.541)" + }, + "parent_node_id": "node_975", + "improvement_over_parent": null + }, + "node_977": { + "node_id": "node_977", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 291.73 kg\n Factor of Safety: 1.44\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": 291.73043925724613, + "fos_buckling": 1.4377135433159316, + "fos_yielding": 1.7201205555541499, + "deflection": 0.004074821588482604, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_976", + "improvement_over_parent": null + }, + "node_978": { + "node_id": "node_978", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0074)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 299.16 kg\n Factor of Safety: 1.44\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": 299.1631804684539, + "fos_buckling": 1.4369604150830386, + "fos_yielding": 1.7192194919449284, + "deflection": 0.003975409699915571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.193)" + }, + "parent_node_id": "node_977", + "improvement_over_parent": null + }, + "node_979": { + "node_id": "node_979", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_978", + "improvement_over_parent": null + }, + "node_980": { + "node_id": "node_980", + "content": "INITIAL DESIGN (Trace 141)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 227.12 kg\n Factor of Safety: 0.93\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.12475544781617, + "fos_buckling": 0.9347250775533278, + "fos_yielding": 2.054543311714708, + "deflection": 0.006544008018935678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_981": { + "node_id": "node_981", + "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 230.70 kg\n Factor of Safety: 0.93\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": 230.70092204901667, + "fos_buckling": 0.934492542276715, + "fos_yielding": 2.0540866173722496, + "deflection": 0.006545626261096226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.212)" + }, + "parent_node_id": "node_980", + "improvement_over_parent": null + }, + "node_982": { + "node_id": "node_982", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 256.94 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": 256.9441881411337, + "fos_buckling": 1.021718687113763, + "fos_yielding": 2.287250159186962, + "deflection": 0.0058827405926194865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_981", + "improvement_over_parent": null + }, + "node_983": { + "node_id": "node_983", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 287.92 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.92273419021006, + "fos_buckling": 1.0363368197581062, + "fos_yielding": 2.295086455525959, + "deflection": 0.005881441692454051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_982", + "improvement_over_parent": null + }, + "node_984": { + "node_id": "node_984", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.13656422402414, + "fos_buckling": 1.5225606303706245, + "fos_yielding": 2.0116768935403497, + "deflection": 0.004041961815354433, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_983", + "improvement_over_parent": null + }, + "node_985": { + "node_id": "node_985", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_984", + "improvement_over_parent": null + }, + "node_986": { + "node_id": "node_986", + "content": "INITIAL DESIGN (Trace 142)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 177.49 kg\n Factor of Safety: 0.82\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.48907485937383, + "fos_buckling": 0.8151659704748748, + "fos_yielding": 1.4322447722287381, + "deflection": 0.007632960496137137, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_987": { + "node_id": "node_987", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n\nPerformance:\n Mass: 193.45 kg\n Factor of Safety: 0.87\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.45105353038966, + "fos_buckling": 0.8672993631163644, + "fos_yielding": 1.4322447722287384, + "deflection": 0.006489887412987728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002489)" + }, + "parent_node_id": "node_986", + "improvement_over_parent": null + }, + "node_988": { + "node_id": "node_988", + "content": "MODIFICATION: Increase 2 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n\nPerformance:\n Mass: 196.98 kg\n Factor of Safety: 0.87\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": 196.9814672053226, + "fos_buckling": 0.8670886620581031, + "fos_yielding": 1.4322447722287384, + "deflection": 0.006441725198308202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.229)" + }, + "parent_node_id": "node_987", + "improvement_over_parent": null + }, + "node_989": { + "node_id": "node_989", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n\nPerformance:\n Mass: 210.56 kg\n Factor of Safety: 0.87\n Max Deflection: 6.45e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.56296106687796, + "fos_buckling": 0.8662790491093066, + "fos_yielding": 1.4310366577432208, + "deflection": 0.00644730107010148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.637)" + }, + "parent_node_id": "node_988", + "improvement_over_parent": null + }, + "node_990": { + "node_id": "node_990", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n\nPerformance:\n Mass: 212.04 kg\n Factor of Safety: 0.87\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": 212.03626538815132, + "fos_buckling": 0.8662790491093071, + "fos_yielding": 1.7688806748539663, + "deflection": 0.006447301070101479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.253)" + }, + "parent_node_id": "node_989", + "improvement_over_parent": null + }, + "node_991": { + "node_id": "node_991", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 230.89 kg\n Factor of Safety: 1.15\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": 230.89456572287384, + "fos_buckling": 1.1464117167358723, + "fos_yielding": 1.5347969146683034, + "deflection": 0.005256411466639262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003680)" + }, + "parent_node_id": "node_990", + "improvement_over_parent": null + }, + "node_992": { + "node_id": "node_992", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0085)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 297.85 kg\n Factor of Safety: 1.42\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.84504920392453, + "fos_buckling": 1.4199493693818128, + "fos_yielding": 1.9811287685828254, + "deflection": 0.004083080608856162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_991", + "improvement_over_parent": null + }, + "node_993": { + "node_id": "node_993", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_992", + "improvement_over_parent": null + }, + "node_994": { + "node_id": "node_994", + "content": "INITIAL DESIGN (Trace 143)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 144.63 kg\n Factor of Safety: 0.67\n Max Deflection: 9.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.630596719881, + "fos_buckling": 0.6655454867042196, + "fos_yielding": 1.4034296241837052, + "deflection": 0.00960561606065775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_995": { + "node_id": "node_995", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n\nPerformance:\n Mass: 159.58 kg\n Factor of Safety: 0.66\n Max Deflection: 8.12e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.57561342238685, + "fos_buckling": 0.6648592831968418, + "fos_yielding": 1.2281996503902066, + "deflection": 0.008117015921349884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002874)" + }, + "parent_node_id": "node_994", + "improvement_over_parent": null + }, + "node_996": { + "node_id": "node_996", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 183.13 kg\n Factor of Safety: 0.75\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.12734717920208, + "fos_buckling": 0.7501858157123292, + "fos_yielding": 1.408665186721827, + "deflection": 0.007083478404908177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_995", + "improvement_over_parent": null + }, + "node_997": { + "node_id": "node_997", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 0.82\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.59850061461023, + "fos_buckling": 0.8182756083915554, + "fos_yielding": 1.557707768662134, + "deflection": 0.006410462496258587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_996", + "improvement_over_parent": null + }, + "node_998": { + "node_id": "node_998", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 228.22 kg\n Factor of Safety: 1.24\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.21558994989638, + "fos_buckling": 1.2371639946961588, + "fos_yielding": 1.5685633548828697, + "deflection": 0.005172213677193946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004101)" + }, + "parent_node_id": "node_997", + "improvement_over_parent": null + }, + "node_999": { + "node_id": "node_999", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0863695836481, + "fos_buckling": 1.5222786947809142, + "fos_yielding": 2.0114874992401504, + "deflection": 0.004042599631124414, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_998", + "improvement_over_parent": null + }, + "node_1000": { + "node_id": "node_1000", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_999", + "improvement_over_parent": null + }, + "node_1001": { + "node_id": "node_1001", + "content": "INITIAL DESIGN (Trace 144)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 242.93 kg\n Factor of Safety: 0.94\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.93272683098604, + "fos_buckling": 0.9447968880450471, + "fos_yielding": 2.059805279508759, + "deflection": 0.006544381034386346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1002": { + "node_id": "node_1002", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 247.61 kg\n Factor of Safety: 1.25\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": 247.61307348247203, + "fos_buckling": 1.2464718908311454, + "fos_yielding": 1.8047466038699487, + "deflection": 0.004745783444960931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002938)" + }, + "parent_node_id": "node_1001", + "improvement_over_parent": null + }, + "node_1003": { + "node_id": "node_1003", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 275.87 kg\n Factor of Safety: 1.36\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.86907357925753, + "fos_buckling": 1.3620349970517245, + "fos_yielding": 2.0087550481437515, + "deflection": 0.004266290662821435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1002", + "improvement_over_parent": null + }, + "node_1004": { + "node_id": "node_1004", + "content": "MODIFICATION: Increase 8 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 285.33 kg\n Factor of Safety: 1.36\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": 285.3263628883751, + "fos_buckling": 1.3595922907852918, + "fos_yielding": 1.9900113948007634, + "deflection": 0.0042069502493579155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.348)" + }, + "parent_node_id": "node_1003", + "improvement_over_parent": null + }, + "node_1005": { + "node_id": "node_1005", + "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0115)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 305.80 kg\n Factor of Safety: 1.36\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 305.8034165028694, + "fos_buckling": 1.3557984025583343, + "fos_yielding": 1.9653046072523832, + "deflection": 0.00413249346575598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.639)" + }, + "parent_node_id": "node_1004", + "improvement_over_parent": null + }, + "node_1006": { + "node_id": "node_1006", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1005", + "improvement_over_parent": null + }, + "node_1007": { + "node_id": "node_1007", + "content": "INITIAL DESIGN (Trace 145)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 151.89 kg\n Factor of Safety: 0.32\n Max Deflection: 9.14e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.8891399073822, + "fos_buckling": 0.32053627826856335, + "fos_yielding": 0.550401609858168, + "deflection": 91416479371295.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1008": { + "node_id": "node_1008", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 181.63 kg\n Factor of Safety: 0.54\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": 181.633951975502, + "fos_buckling": 0.5435227529792371, + "fos_yielding": 1.7226918598851024, + "deflection": 0.009014167692349596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004819)" + }, + "parent_node_id": "node_1007", + "improvement_over_parent": null + }, + "node_1009": { + "node_id": "node_1009", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 209.63 kg\n Factor of Safety: 0.54\n Max Deflection: 8.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.63159148965576, + "fos_buckling": 0.5424762915371675, + "fos_yielding": 1.7209279990223858, + "deflection": 0.008117924972920307, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004675)" + }, + "parent_node_id": "node_1008", + "improvement_over_parent": null + }, + "node_1010": { + "node_id": "node_1010", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n\nPerformance:\n Mass: 248.67 kg\n Factor of Safety: 1.37\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.67290370705837, + "fos_buckling": 1.3749381467953516, + "fos_yielding": 1.8014498880929368, + "deflection": 0.004906221119784895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005521)" + }, + "parent_node_id": "node_1009", + "improvement_over_parent": null + }, + "node_1011": { + "node_id": "node_1011", + "content": "MODIFICATION: Increase 1 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n\nPerformance:\n Mass: 254.92 kg\n Factor of Safety: 1.37\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.92352376343962, + "fos_buckling": 1.369125342111578, + "fos_yielding": 1.82224141703951, + "deflection": 0.004747146895461314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.267)" + }, + "parent_node_id": "node_1010", + "improvement_over_parent": null + }, + "node_1012": { + "node_id": "node_1012", + "content": "MODIFICATION: Increase 0 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n\nPerformance:\n Mass: 264.99 kg\n Factor of Safety: 1.40\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.9862425305734, + "fos_buckling": 1.4026066513409023, + "fos_yielding": 1.8199154502226595, + "deflection": 0.004464111721565554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.529)" + }, + "parent_node_id": "node_1011", + "improvement_over_parent": null + }, + "node_1013": { + "node_id": "node_1013", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1980561083396, + "fos_buckling": 1.5230300777520394, + "fos_yielding": 2.012391765698755, + "deflection": 0.004041171746231742, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1012", + "improvement_over_parent": null + }, + "node_1014": { + "node_id": "node_1014", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1013", + "improvement_over_parent": null + }, + "node_1015": { + "node_id": "node_1015", + "content": "INITIAL DESIGN (Trace 146)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 157.46 kg\n Factor of Safety: 0.88\n Max Deflection: 7.40e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.4636306312886, + "fos_buckling": 0.8807873568340119, + "fos_yielding": 1.1136038672426332, + "deflection": 0.007404714163495126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1016": { + "node_id": "node_1016", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 200.47 kg\n Factor of Safety: 1.09\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": 200.471202993411, + "fos_buckling": 1.0906014238574648, + "fos_yielding": 1.4159403876366812, + "deflection": 0.0058311633357690665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1015", + "improvement_over_parent": null + }, + "node_1017": { + "node_id": "node_1017", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 235.52 kg\n Factor of Safety: 1.25\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.5201897190617, + "fos_buckling": 1.2519862807547286, + "fos_yielding": 1.6617347655321384, + "deflection": 0.004973817137127981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_1016", + "improvement_over_parent": null + }, + "node_1018": { + "node_id": "node_1018", + "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 241.96 kg\n Factor of Safety: 1.30\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": 241.9643068925937, + "fos_buckling": 1.300050850574616, + "fos_yielding": 1.6625626299867442, + "deflection": 0.004882191485953612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.335)" + }, + "parent_node_id": "node_1017", + "improvement_over_parent": null + }, + "node_1019": { + "node_id": "node_1019", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0854899233739, + "fos_buckling": 1.5223123063548656, + "fos_yielding": 2.0115026545418457, + "deflection": 0.004042587690536846, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_1018", + "improvement_over_parent": null + }, + "node_1020": { + "node_id": "node_1020", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1019", + "improvement_over_parent": null + }, + "node_1021": { + "node_id": "node_1021", + "content": "INITIAL DESIGN (Trace 147)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.81 kg\n Factor of Safety: 1.01\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": 250.81352652722134, + "fos_buckling": 1.0076932365193922, + "fos_yielding": 1.6826907288490096, + "deflection": 0.005206643898889451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1022": { + "node_id": "node_1022", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 283.73 kg\n Factor of Safety: 1.42\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.7260631588383, + "fos_buckling": 1.4158190296638917, + "fos_yielding": 1.6934604480665338, + "deflection": 0.0042488403672699526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1021", + "improvement_over_parent": null + }, + "node_1023": { + "node_id": "node_1023", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 285.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.21e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 285.23586291619904, + "fos_buckling": 1.5223778451114924, + "fos_yielding": 1.9859792901582225, + "deflection": 0.00421072440421509, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.196)" + }, + "parent_node_id": "node_1022", + "improvement_over_parent": null + }, + "node_1024": { + "node_id": "node_1024", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25151386780743, + "fos_buckling": 1.5227874580878549, + "fos_yielding": 2.0132172173074308, + "deflection": 0.004040269068257499, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.325)" + }, + "parent_node_id": "node_1023", + "improvement_over_parent": null + }, + "node_1025": { + "node_id": "node_1025", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1024", + "improvement_over_parent": null + }, + "node_1026": { + "node_id": "node_1026", + "content": "INITIAL DESIGN (Trace 148)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n\nPerformance:\n Mass: 108.85 kg\n Factor of Safety: 0.07\n Max Deflection: 2.82e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.84716792705889, + "fos_buckling": 0.0695889778142084, + "fos_yielding": 0.2908972842114598, + "deflection": 282083474511581.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1027": { + "node_id": "node_1027", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 137.35 kg\n Factor of Safety: 1.09\n Max Deflection: 1.07e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.3514492489734, + "fos_buckling": 1.0900711135444128, + "fos_yielding": 1.8097058458258637, + "deflection": 10689854874933.32, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_1026", + "improvement_over_parent": null + }, + "node_1028": { + "node_id": "node_1028", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 172.50 kg\n Factor of Safety: 0.50\n Max Deflection: 1.31e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.50440126081367, + "fos_buckling": 0.49904570514513835, + "fos_yielding": 1.1253073712763755, + "deflection": 13078859573899.74, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_1027", + "improvement_over_parent": null + }, + "node_1029": { + "node_id": "node_1029", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 193.39 kg\n Factor of Safety: 0.98\n Max Deflection: 5.59e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.39309265595162, + "fos_buckling": 0.9819968582300961, + "fos_yielding": 1.677429118386475, + "deflection": 5587907996266.916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_1028", + "improvement_over_parent": null + }, + "node_1030": { + "node_id": "node_1030", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 214.43 kg\n Factor of Safety: 0.46\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.43489599195146, + "fos_buckling": 0.4622871476211549, + "fos_yielding": 1.357617144190381, + "deflection": 0.008702369227750827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004141)" + }, + "parent_node_id": "node_1029", + "improvement_over_parent": null + }, + "node_1031": { + "node_id": "node_1031", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 248.40 kg\n Factor of Safety: 0.52\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.4035494983057, + "fos_buckling": 0.5214709192187732, + "fos_yielding": 1.5709927710499687, + "deflection": 0.007526761610471437, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1030", + "improvement_over_parent": null + }, + "node_1032": { + "node_id": "node_1032", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 286.08 kg\n Factor of Safety: 1.37\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": 286.07909687300287, + "fos_buckling": 1.3725013646873512, + "fos_yielding": 1.9905494176020073, + "deflection": 0.00416759406023781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005215)" + }, + "parent_node_id": "node_1031", + "improvement_over_parent": null + }, + "node_1033": { + "node_id": "node_1033", + "content": "MODIFICATION: Increase 10 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.01 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0076683995269, + "fos_buckling": 1.5231866666288363, + "fos_yielding": 2.01048915400959, + "deflection": 0.004043602634512072, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.202)" + }, + "parent_node_id": "node_1032", + "improvement_over_parent": null + }, + "node_1034": { + "node_id": "node_1034", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1033", + "improvement_over_parent": null + }, + "node_1035": { + "node_id": "node_1035", + "content": "INITIAL DESIGN (Trace 149)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 155.68 kg\n Factor of Safety: 0.67\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.68365023078664, + "fos_buckling": 0.6669908112340908, + "fos_yielding": 0.9084195336968154, + "deflection": 0.00841260177892541, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1036": { + "node_id": "node_1036", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 174.34 kg\n Factor of Safety: 0.74\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.34187311552614, + "fos_buckling": 0.7365601531392706, + "fos_yielding": 1.0185185451112366, + "deflection": 0.007521243901649311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_1035", + "improvement_over_parent": null + }, + "node_1037": { + "node_id": "node_1037", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 182.15 kg\n Factor of Safety: 0.74\n Max Deflection: 7.35e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.15018943955607, + "fos_buckling": 0.7361640234446268, + "fos_yielding": 1.001361027365538, + "deflection": 0.007352558282644262, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.613)" + }, + "parent_node_id": "node_1036", + "improvement_over_parent": null + }, + "node_1038": { + "node_id": "node_1038", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 211.16 kg\n Factor of Safety: 0.84\n Max Deflection: 6.35e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.16404190671756, + "fos_buckling": 0.8357668660825831, + "fos_yielding": 1.163437345479593, + "deflection": 0.0063531301004990295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1037", + "improvement_over_parent": null + }, + "node_1039": { + "node_id": "node_1039", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 264.49 kg\n Factor of Safety: 1.01\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": 264.4876633672924, + "fos_buckling": 1.0064019436349092, + "fos_yielding": 1.463633412039405, + "deflection": 0.005088090643273697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1038", + "improvement_over_parent": null + }, + "node_1040": { + "node_id": "node_1040", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 290.39 kg\n Factor of Safety: 1.26\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": 290.38510050968216, + "fos_buckling": 1.2592530487638829, + "fos_yielding": 1.474025053042324, + "deflection": 0.004115095264663184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1039", + "improvement_over_parent": null + }, + "node_1041": { + "node_id": "node_1041", + "content": "MODIFICATION: Increase 6 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0087)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 306.04 kg\n Factor of Safety: 1.26\n Max Deflection: 3.93e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 306.0373222884729, + "fos_buckling": 1.2580046143077728, + "fos_yielding": 1.4725636917478695, + "deflection": 0.003930712916991525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.416)" + }, + "parent_node_id": "node_1040", + "improvement_over_parent": null + }, + "node_1042": { + "node_id": "node_1042", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1041", + "improvement_over_parent": null + }, + "node_1043": { + "node_id": "node_1043", + "content": "INITIAL DESIGN (Trace 150)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 183.38 kg\n Factor of Safety: 1.31\n Max Deflection: 7.05e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.38078012142853, + "fos_buckling": 1.3091902386905534, + "fos_yielding": 2.288071782940979, + "deflection": 7046620465550.969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1044": { + "node_id": "node_1044", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 227.96 kg\n Factor of Safety: 1.01\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": 227.9627112893744, + "fos_buckling": 1.0094743701265694, + "fos_yielding": 2.288071782940979, + "deflection": 0.005923693073394402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1043", + "improvement_over_parent": null + }, + "node_1045": { + "node_id": "node_1045", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 258.94 kg\n Factor of Safety: 1.01\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": 258.9412573384508, + "fos_buckling": 1.0073307641922695, + "fos_yielding": 2.0032267957668712, + "deflection": 0.00502272128611395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1044", + "improvement_over_parent": null + }, + "node_1046": { + "node_id": "node_1046", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 260.32 kg\n Factor of Safety: 1.01\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": 260.3166290731404, + "fos_buckling": 1.0071408624582243, + "fos_yielding": 1.9986569780237886, + "deflection": 0.005007039862500054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.393)" + }, + "parent_node_id": "node_1045", + "improvement_over_parent": null + }, + "node_1047": { + "node_id": "node_1047", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2291657047574, + "fos_buckling": 1.5229094179893157, + "fos_yielding": 2.012443231535083, + "deflection": 0.004040623422147651, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1046", + "improvement_over_parent": null + }, + "node_1048": { + "node_id": "node_1048", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1047", + "improvement_over_parent": null + }, + "node_1049": { + "node_id": "node_1049", + "content": "INITIAL DESIGN (Trace 151)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 247.07 kg\n Factor of Safety: 0.79\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": 247.0718574227491, + "fos_buckling": 0.7929363708452881, + "fos_yielding": 2.2883319338674015, + "deflection": 0.005514249252577914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1050": { + "node_id": "node_1050", + "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 255.50 kg\n Factor of Safety: 0.79\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.4995642463637, + "fos_buckling": 0.7924782311330557, + "fos_yielding": 2.2871339578139467, + "deflection": 0.005517189174701056, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.410)" + }, + "parent_node_id": "node_1049", + "improvement_over_parent": null + }, + "node_1051": { + "node_id": "node_1051", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 279.88 kg\n Factor of Safety: 1.22\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.8810362071958, + "fos_buckling": 1.2230788808029498, + "fos_yielding": 1.9686608328089283, + "deflection": 0.004316079378218171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1050", + "improvement_over_parent": null + }, + "node_1052": { + "node_id": "node_1052", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0071)]\n\nPerformance:\n Mass: 289.77 kg\n Factor of Safety: 1.27\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.76889199971407, + "fos_buckling": 1.2719476971348864, + "fos_yielding": 1.9482033564401264, + "deflection": 0.004232265589718115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.468)" + }, + "parent_node_id": "node_1051", + "improvement_over_parent": null + }, + "node_1053": { + "node_id": "node_1053", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 152)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0025)]\n\nPerformance:\n Mass: 168.44 kg\n Factor of Safety: 0.77\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": 168.4444200257761, + "fos_buckling": 0.7657971542508405, + "fos_yielding": 1.189195608603908, + "deflection": 0.007140527796890364, + "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 10 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 176.94 kg\n Factor of Safety: 0.99\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": 176.94113958647074, + "fos_buckling": 0.9911953957824098, + "fos_yielding": 1.217557440893932, + "deflection": 0.0066511249757250064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.486)" + }, + "parent_node_id": "node_1054", + "improvement_over_parent": null + }, + "node_1056": { + "node_id": "node_1056", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 229.60 kg\n Factor of Safety: 1.24\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": 229.5952538587783, + "fos_buckling": 1.2435599618977156, + "fos_yielding": 1.5780016233923255, + "deflection": 0.005141528198367073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1055", + "improvement_over_parent": null + }, + "node_1057": { + "node_id": "node_1057", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.18 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1798452794228, + "fos_buckling": 1.5227030434196482, + "fos_yielding": 2.012130902000478, + "deflection": 0.004041319076242367, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1056", + "improvement_over_parent": null + }, + "node_1058": { + "node_id": "node_1058", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1057", + "improvement_over_parent": null + }, + "node_1059": { + "node_id": "node_1059", + "content": "INITIAL DESIGN (Trace 153)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n\nPerformance:\n Mass: 103.30 kg\n Factor of Safety: 0.02\n Max Deflection: 3.96e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.30194410085028, + "fos_buckling": 0.02478311232426433, + "fos_yielding": 0.11382022028069896, + "deflection": 395890630129254.06, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1060": { + "node_id": "node_1060", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n\nPerformance:\n Mass: 118.07 kg\n Factor of Safety: 0.27\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": 118.07147975649008, + "fos_buckling": 0.27451190123173075, + "fos_yielding": 0.7529646878484739, + "deflection": 0.016014145155535422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002372)" + }, + "parent_node_id": "node_1059", + "improvement_over_parent": null + }, + "node_1061": { + "node_id": "node_1061", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 150.25 kg\n Factor of Safety: 0.34\n Max Deflection: 1.26e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.24810575887696, + "fos_buckling": 0.34110909678930285, + "fos_yielding": 0.957147668897753, + "deflection": 0.012604222620009597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_1060", + "improvement_over_parent": null + }, + "node_1062": { + "node_id": "node_1062", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 150.86 kg\n Factor of Safety: 0.34\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": 150.85878851380426, + "fos_buckling": 0.3410803375912136, + "fos_yielding": 0.9571226257138874, + "deflection": 0.012327275895659488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.252)" + }, + "parent_node_id": "node_1061", + "improvement_over_parent": null + }, + "node_1063": { + "node_id": "node_1063", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n\nPerformance:\n Mass: 184.07 kg\n Factor of Safety: 0.41\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.06822577569943, + "fos_buckling": 0.40591812401314903, + "fos_yielding": 1.1665926346934072, + "deflection": 0.010122207726096519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_1062", + "improvement_over_parent": null + }, + "node_1064": { + "node_id": "node_1064", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 213.69 kg\n Factor of Safety: 0.46\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.68882446456095, + "fos_buckling": 0.46067325033609574, + "fos_yielding": 1.3530548038425356, + "deflection": 0.0087337162741166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1063", + "improvement_over_parent": null + }, + "node_1065": { + "node_id": "node_1065", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 251.99 kg\n Factor of Safety: 1.34\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.99193734909213, + "fos_buckling": 1.34484395384034, + "fos_yielding": 1.7311484141214093, + "deflection": 0.004690659914142687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005309)" + }, + "parent_node_id": "node_1064", + "improvement_over_parent": null + }, + "node_1066": { + "node_id": "node_1066", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.50837340098207, + "fos_buckling": 1.5238339136542012, + "fos_yielding": 2.0144730869554874, + "deflection": 0.004036876685230692, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1065", + "improvement_over_parent": null + }, + "node_1067": { + "node_id": "node_1067", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1066", + "improvement_over_parent": null + }, + "node_1068": { + "node_id": "node_1068", + "content": "INITIAL DESIGN (Trace 154)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 218.78 kg\n Factor of Safety: 1.25\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": 218.7791669582988, + "fos_buckling": 1.2488808873091788, + "fos_yielding": 1.6568179637752514, + "deflection": 0.005401183920711952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1069": { + "node_id": "node_1069", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 225.90 kg\n Factor of Safety: 1.25\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": 225.9038007487281, + "fos_buckling": 1.2455732474193855, + "fos_yielding": 1.657774658489425, + "deflection": 0.005266018227332805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.389)" + }, + "parent_node_id": "node_1068", + "improvement_over_parent": null + }, + "node_1070": { + "node_id": "node_1070", + "content": "MODIFICATION: Increase 0 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 233.63 kg\n Factor of Safety: 1.25\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": 233.6282748866593, + "fos_buckling": 1.2487563788169693, + "fos_yielding": 1.6561869179038482, + "deflection": 0.005014082624416974, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.416)" + }, + "parent_node_id": "node_1069", + "improvement_over_parent": null + }, + "node_1071": { + "node_id": "node_1071", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.92 kg\n Factor of Safety: 1.48\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": 286.9229457324718, + "fos_buckling": 1.479721265653359, + "fos_yielding": 2.030644083912215, + "deflection": 0.0040958638276837765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1070", + "improvement_over_parent": null + }, + "node_1072": { + "node_id": "node_1072", + "content": "MODIFICATION: Increase 9 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.31094871573856, + "fos_buckling": 1.5231907775082003, + "fos_yielding": 2.0128251262867374, + "deflection": 0.004039632136678368, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.285)" + }, + "parent_node_id": "node_1071", + "improvement_over_parent": null + }, + "node_1073": { + "node_id": "node_1073", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1072", + "improvement_over_parent": null + }, + "node_1074": { + "node_id": "node_1074", + "content": "INITIAL DESIGN (Trace 155)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\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_1075": { + "node_id": "node_1075", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 173.09 kg\n Factor of Safety: 0.58\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.086766143559, + "fos_buckling": 0.5794327286297327, + "fos_yielding": 1.8981457068991665, + "deflection": 0.008630065873385518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004088)" + }, + "parent_node_id": "node_1074", + "improvement_over_parent": null + }, + "node_1076": { + "node_id": "node_1076", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 178.58 kg\n Factor of Safety: 0.58\n Max Deflection: 8.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.58360764091728, + "fos_buckling": 0.5792132449227798, + "fos_yielding": 1.8981457068991663, + "deflection": 0.008229314743598384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.261)" + }, + "parent_node_id": "node_1075", + "improvement_over_parent": null + }, + "node_1077": { + "node_id": "node_1077", + "content": "MODIFICATION: Increase 6 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 190.67 kg\n Factor of Safety: 0.58\n Max Deflection: 8.24e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.67006801654298, + "fos_buckling": 0.5787312282060283, + "fos_yielding": 1.8967206912638732, + "deflection": 0.008237822248363391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.618)" + }, + "parent_node_id": "node_1076", + "improvement_over_parent": null + }, + "node_1078": { + "node_id": "node_1078", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 217.97 kg\n Factor of Safety: 0.92\n Max Deflection: 6.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.9671605505403, + "fos_buckling": 0.9195937543309272, + "fos_yielding": 1.8967206912638739, + "deflection": 0.006221097941971876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004391)" + }, + "parent_node_id": "node_1077", + "improvement_over_parent": null + }, + "node_1079": { + "node_id": "node_1079", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 238.19 kg\n Factor of Safety: 0.98\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": 238.18950187999832, + "fos_buckling": 0.9799750400551149, + "fos_yielding": 1.6582756589613323, + "deflection": 0.005195678514516609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003967)" + }, + "parent_node_id": "node_1078", + "improvement_over_parent": null + }, + "node_1080": { + "node_id": "node_1080", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0057)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0053)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 243.17 kg\n Factor of Safety: 1.01\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": 243.17107503545768, + "fos_buckling": 1.0075750891797617, + "fos_yielding": 1.658783011323766, + "deflection": 0.005123165020769027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.200)" + }, + "parent_node_id": "node_1079", + "improvement_over_parent": null + }, + "node_1081": { + "node_id": "node_1081", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0065)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.78 kg\n Factor of Safety: 1.19\n Max Deflection: 4.26e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.7777028535166, + "fos_buckling": 1.1927444326415002, + "fos_yielding": 1.9965312509358297, + "deflection": 0.004261340069527318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1080", + "improvement_over_parent": null + }, + "node_1082": { + "node_id": "node_1082", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1081", + "improvement_over_parent": null + }, + "node_1083": { + "node_id": "node_1083", + "content": "INITIAL DESIGN (Trace 156)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 154.70 kg\n Factor of Safety: 0.75\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.70100309921042, + "fos_buckling": 0.7549154813221077, + "fos_yielding": 1.1193640267489156, + "deflection": 0.007663146797297126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1084": { + "node_id": "node_1084", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 155.28 kg\n Factor of Safety: 0.75\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.27928413021175, + "fos_buckling": 0.7544787584158519, + "fos_yielding": 1.119528798542391, + "deflection": 0.0076255156528861326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.178)" + }, + "parent_node_id": "node_1083", + "improvement_over_parent": null + }, + "node_1085": { + "node_id": "node_1085", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 162.10 kg\n Factor of Safety: 0.91\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.10120202956185, + "fos_buckling": 0.9072669359402521, + "fos_yielding": 1.141281541096054, + "deflection": 0.007200976624245432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.389)" + }, + "parent_node_id": "node_1084", + "improvement_over_parent": null + }, + "node_1086": { + "node_id": "node_1086", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 203.59 kg\n Factor of Safety: 1.11\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": 203.5870337735813, + "fos_buckling": 1.109320022451356, + "fos_yielding": 1.4316422136523828, + "deflection": 0.005747882308429085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1085", + "improvement_over_parent": null + }, + "node_1087": { + "node_id": "node_1087", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 257.15 kg\n Factor of Safety: 1.35\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": 257.1467194084149, + "fos_buckling": 1.3523233181448522, + "fos_yielding": 1.8054388807613373, + "deflection": 0.0045653097800305905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1086", + "improvement_over_parent": null + }, + "node_1088": { + "node_id": "node_1088", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.92 kg\n Factor of Safety: 1.48\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": 286.92446400605036, + "fos_buckling": 1.4787969985800062, + "fos_yielding": 2.012728922644951, + "deflection": 0.00409880909920544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_1087", + "improvement_over_parent": null + }, + "node_1089": { + "node_id": "node_1089", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.36 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.36191180832526, + "fos_buckling": 1.5235169248288354, + "fos_yielding": 2.013496043072601, + "deflection": 0.004038750437055949, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.267)" + }, + "parent_node_id": "node_1088", + "improvement_over_parent": null + }, + "node_1090": { + "node_id": "node_1090", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1089", + "improvement_over_parent": null + }, + "node_1091": { + "node_id": "node_1091", + "content": "INITIAL DESIGN (Trace 157)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 133.82 kg\n Factor of Safety: 0.59\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": 133.81562710541724, + "fos_buckling": 0.5871598651327389, + "fos_yielding": 1.1398696210642028, + "deflection": 0.00966726732879705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1092": { + "node_id": "node_1092", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0016)]\n\nPerformance:\n Mass: 142.09 kg\n Factor of Safety: 0.75\n Max Deflection: 8.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.0939656107185, + "fos_buckling": 0.7526303800773121, + "fos_yielding": 1.0178245026920583, + "deflection": 0.008217254026920695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001555)" + }, + "parent_node_id": "node_1091", + "improvement_over_parent": null + }, + "node_1093": { + "node_id": "node_1093", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n\nPerformance:\n Mass: 173.15 kg\n Factor of Safety: 0.91\n Max Deflection: 6.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.15096519957152, + "fos_buckling": 0.9052654321573653, + "fos_yielding": 1.2391174702887535, + "deflection": 0.0067556950987838725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1092", + "improvement_over_parent": null + }, + "node_1094": { + "node_id": "node_1094", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n\nPerformance:\n Mass: 218.36 kg\n Factor of Safety: 1.12\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.35979809844315, + "fos_buckling": 1.1198803451058585, + "fos_yielding": 1.5604661421120816, + "deflection": 0.0053712316821045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n\nPerformance:\n Mass: 243.86 kg\n Factor of Safety: 1.24\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.85673079186876, + "fos_buckling": 1.2369649974446222, + "fos_yielding": 1.741282779816265, + "deflection": 0.004816817791456067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1094", + "improvement_over_parent": null + }, + "node_1096": { + "node_id": "node_1096", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 285.90 kg\n Factor of Safety: 1.42\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": 285.8962723378271, + "fos_buckling": 1.4237917077267481, + "fos_yielding": 2.038737898838449, + "deflection": 0.004118640803420844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1095", + "improvement_over_parent": null + }, + "node_1097": { + "node_id": "node_1097", + "content": "MODIFICATION: Increase 3 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0057)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 288.86 kg\n Factor of Safety: 1.43\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.86003649206054, + "fos_buckling": 1.4275795248183574, + "fos_yielding": 2.0393231046851508, + "deflection": 0.004076508653643004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.486)" + }, + "parent_node_id": "node_1096", + "improvement_over_parent": null + }, + "node_1098": { + "node_id": "node_1098", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1097", + "improvement_over_parent": null + }, + "node_1099": { + "node_id": "node_1099", + "content": "INITIAL DESIGN (Trace 158)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\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_1100": { + "node_id": "node_1100", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 188.17 kg\n Factor of Safety: 0.42\n Max Deflection: 2.59e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.17293131592731, + "fos_buckling": 0.422859495549946, + "fos_yielding": 1.4658190092601047, + "deflection": 0.0258639911630142, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004709)" + }, + "parent_node_id": "node_1099", + "improvement_over_parent": null + }, + "node_1101": { + "node_id": "node_1101", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 192.18 kg\n Factor of Safety: 0.47\n Max Deflection: 9.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.18044457721706, + "fos_buckling": 0.4729234976407309, + "fos_yielding": 1.465388823964606, + "deflection": 0.00932840647586913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002485)" + }, + "parent_node_id": "node_1100", + "improvement_over_parent": null + }, + "node_1102": { + "node_id": "node_1102", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n\nPerformance:\n Mass: 215.20 kg\n Factor of Safety: 0.97\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": 215.19869659849087, + "fos_buckling": 0.9685032535246368, + "fos_yielding": 1.5512166133471617, + "deflection": 0.005583697863960393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003146)" + }, + "parent_node_id": "node_1101", + "improvement_over_parent": null + }, + "node_1103": { + "node_id": "node_1103", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n\nPerformance:\n Mass: 225.35 kg\n Factor of Safety: 0.97\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": 225.35332041375068, + "fos_buckling": 0.9657388310780947, + "fos_yielding": 1.5330282114964178, + "deflection": 0.005487383891371791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.473)" + }, + "parent_node_id": "node_1102", + "improvement_over_parent": null + }, + "node_1104": { + "node_id": "node_1104", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0077)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n\nPerformance:\n Mass: 292.82 kg\n Factor of Safety: 1.22\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": 292.81790152724966, + "fos_buckling": 1.223410945605281, + "fos_yielding": 1.9911738631162512, + "deflection": 0.004231447149848282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_1103", + "improvement_over_parent": null + }, + "node_1105": { + "node_id": "node_1105", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1104", + "improvement_over_parent": null + }, + "node_1106": { + "node_id": "node_1106", + "content": "INITIAL DESIGN (Trace 159)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 190.55 kg\n Factor of Safety: 0.84\n Max Deflection: 6.61e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.5547680831211, + "fos_buckling": 0.8374633441776528, + "fos_yielding": 1.5605574977965966, + "deflection": 0.006613376078639173, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1107": { + "node_id": "node_1107", + "content": "MODIFICATION: Increase 2 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 196.20 kg\n Factor of Safety: 0.84\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": 196.2008015393423, + "fos_buckling": 0.8371379141901263, + "fos_yielding": 1.5604563423857725, + "deflection": 0.006615846715411821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.403)" + }, + "parent_node_id": "node_1106", + "improvement_over_parent": null + }, + "node_1108": { + "node_id": "node_1108", + "content": "MODIFICATION: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 207.93 kg\n Factor of Safety: 0.84\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": 207.9338554600526, + "fos_buckling": 0.8364624445582086, + "fos_yielding": 1.598383373436583, + "deflection": 0.0062482460308633785, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.527)" + }, + "parent_node_id": "node_1107", + "improvement_over_parent": null + }, + "node_1109": { + "node_id": "node_1109", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 234.22 kg\n Factor of Safety: 1.27\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": 234.21923114980797, + "fos_buckling": 1.2651897438952324, + "fos_yielding": 1.6095142423977118, + "deflection": 0.005041319772049071, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004216)" + }, + "parent_node_id": "node_1108", + "improvement_over_parent": null + }, + "node_1110": { + "node_id": "node_1110", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.31195487722033, + "fos_buckling": 1.5236804370489343, + "fos_yielding": 2.0129095461673323, + "deflection": 0.00403948419245395, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1109", + "improvement_over_parent": null + }, + "node_1111": { + "node_id": "node_1111", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1110", + "improvement_over_parent": null + }, + "node_1112": { + "node_id": "node_1112", + "content": "INITIAL DESIGN (Trace 160)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 204.14 kg\n Factor of Safety: 0.45\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.14462701124887, + "fos_buckling": 0.4458493869908206, + "fos_yielding": 1.0847153799696592, + "deflection": 0.009245286225338538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1113": { + "node_id": "node_1113", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 246.93 kg\n Factor of Safety: 0.52\n Max Deflection: 7.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.92887460990693, + "fos_buckling": 0.5214378400314786, + "fos_yielding": 1.3143190776335347, + "deflection": 0.007659980735590858, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1112", + "improvement_over_parent": null + }, + "node_1114": { + "node_id": "node_1114", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.51 kg\n Factor of Safety: 1.42\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": 291.5108057778528, + "fos_buckling": 1.4172627530024997, + "fos_yielding": 1.6912667056940363, + "deflection": 0.004079727562354175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1113", + "improvement_over_parent": null + }, + "node_1115": { + "node_id": "node_1115", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.14159035109367, + "fos_buckling": 1.5227528385858249, + "fos_yielding": 2.0111019333486966, + "deflection": 0.004041825885291483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.215)" + }, + "parent_node_id": "node_1114", + "improvement_over_parent": null + }, + "node_1116": { + "node_id": "node_1116", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1115", + "improvement_over_parent": null + }, + "node_1117": { + "node_id": "node_1117", + "content": "INITIAL DESIGN (Trace 161)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 183.85 kg\n Factor of Safety: 0.75\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.85206211290313, + "fos_buckling": 0.7536023913344444, + "fos_yielding": 1.2710278538104325, + "deflection": 0.00828517253799572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1118": { + "node_id": "node_1118", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 185.33 kg\n Factor of Safety: 0.75\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.32931240835913, + "fos_buckling": 0.7536023913344444, + "fos_yielding": 1.60780587399708, + "deflection": 0.00828517253799572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.282)" + }, + "parent_node_id": "node_1117", + "improvement_over_parent": null + }, + "node_1119": { + "node_id": "node_1119", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n\nPerformance:\n Mass: 189.02 kg\n Factor of Safety: 0.75\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.01583238950624, + "fos_buckling": 0.7532198135661058, + "fos_yielding": 1.416098875735537, + "deflection": 0.007049688583139406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002273)" + }, + "parent_node_id": "node_1118", + "improvement_over_parent": null + }, + "node_1120": { + "node_id": "node_1120", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 218.86 kg\n Factor of Safety: 0.85\n Max Deflection: 6.10e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.86362769972692, + "fos_buckling": 0.8538059609111445, + "fos_yielding": 1.6385265739456036, + "deflection": 0.006099504969424733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1119", + "improvement_over_parent": null + }, + "node_1121": { + "node_id": "node_1121", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 240.07 kg\n Factor of Safety: 1.29\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": 240.07251740758076, + "fos_buckling": 1.2914748536978504, + "fos_yielding": 1.6501522447442754, + "deflection": 0.004920158189258204, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004033)" + }, + "parent_node_id": "node_1120", + "improvement_over_parent": null + }, + "node_1122": { + "node_id": "node_1122", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.99 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.98539624890356, + "fos_buckling": 1.521891312161884, + "fos_yielding": 2.011438644714843, + "deflection": 0.0040439736358428915, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1121", + "improvement_over_parent": null + }, + "node_1123": { + "node_id": "node_1123", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1122", + "improvement_over_parent": null + }, + "node_1124": { + "node_id": "node_1124", + "content": "INITIAL DESIGN (Trace 162)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 165.33 kg\n Factor of Safety: 0.67\n Max Deflection: 8.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.33107142100994, + "fos_buckling": 0.6655937385330546, + "fos_yielding": 1.8881380696543197, + "deflection": 0.0084089957061952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1125": { + "node_id": "node_1125", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 200.81 kg\n Factor of Safety: 0.79\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.81012737027493, + "fos_buckling": 0.7926358163761962, + "fos_yielding": 2.2880792586670546, + "deflection": 0.0069349741820480875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1124", + "improvement_over_parent": null + }, + "node_1126": { + "node_id": "node_1126", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 233.72 kg\n Factor of Safety: 0.79\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": 233.72266400189193, + "fos_buckling": 0.7908444916057086, + "fos_yielding": 2.2880792586670546, + "deflection": 0.005672004825561302, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1125", + "improvement_over_parent": null + }, + "node_1127": { + "node_id": "node_1127", + "content": "MODIFICATION: Increase 3 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 240.58 kg\n Factor of Safety: 0.79\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": 240.57748293952716, + "fos_buckling": 0.7904724238839468, + "fos_yielding": 2.2871045724301724, + "deflection": 0.005674623762947723, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.429)" + }, + "parent_node_id": "node_1126", + "improvement_over_parent": null + }, + "node_1128": { + "node_id": "node_1128", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 241.93 kg\n Factor of Safety: 0.79\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.9310789539, + "fos_buckling": 0.790325578596519, + "fos_yielding": 2.2871045724301724, + "deflection": 0.005653364033593283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.385)" + }, + "parent_node_id": "node_1127", + "improvement_over_parent": null + }, + "node_1129": { + "node_id": "node_1129", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 272.91 kg\n Factor of Safety: 1.22\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 272.9096250029764, + "fos_buckling": 1.2177480009865007, + "fos_yielding": 1.9685525179379075, + "deflection": 0.004457901968584852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1128", + "improvement_over_parent": null + }, + "node_1130": { + "node_id": "node_1130", + "content": "MODIFICATION: Increase 0 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 279.70 kg\n Factor of Safety: 1.22\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.69515649753725, + "fos_buckling": 1.2199874424100399, + "fos_yielding": 1.9672820812300182, + "deflection": 0.004320540525681744, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.274)" + }, + "parent_node_id": "node_1129", + "improvement_over_parent": null + }, + "node_1131": { + "node_id": "node_1131", + "content": "MODIFICATION: Increase 10 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0077)]\n\nPerformance:\n Mass: 292.44 kg\n Factor of Safety: 1.28\n Max Deflection: 4.22e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.437049782256, + "fos_buckling": 1.2784685404264355, + "fos_yielding": 1.942873052369632, + "deflection": 0.004220425371802486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.475)" + }, + "parent_node_id": "node_1130", + "improvement_over_parent": null + }, + "node_1132": { + "node_id": "node_1132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1131", + "improvement_over_parent": null + }, + "node_1133": { + "node_id": "node_1133", + "content": "INITIAL DESIGN (Trace 163)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n\nPerformance:\n Mass: 144.71 kg\n Factor of Safety: 0.51\n Max Deflection: 1.16e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.70725243421086, + "fos_buckling": 0.5071209464158138, + "fos_yielding": 1.00126149069679, + "deflection": 11550378607431.424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1134": { + "node_id": "node_1134", + "content": "MODIFICATION: Increase 6 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n\nPerformance:\n Mass: 147.08 kg\n Factor of Safety: 0.51\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": 147.07975981448493, + "fos_buckling": 0.5071209464158138, + "fos_yielding": 1.1253073712763755, + "deflection": 11550378607431.424, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.577)" + }, + "parent_node_id": "node_1133", + "improvement_over_parent": null + }, + "node_1135": { + "node_id": "node_1135", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 168.02 kg\n Factor of Safety: 0.38\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": 168.01620523878861, + "fos_buckling": 0.3750333047639456, + "fos_yielding": 1.0646362132360758, + "deflection": 0.01107908105950549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003422)" + }, + "parent_node_id": "node_1134", + "improvement_over_parent": null + }, + "node_1136": { + "node_id": "node_1136", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 198.14 kg\n Factor of Safety: 1.10\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": 198.14313237706688, + "fos_buckling": 1.095113338873794, + "fos_yielding": 1.3618644355679421, + "deflection": 0.00594685084826587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004105)" + }, + "parent_node_id": "node_1135", + "improvement_over_parent": null + }, + "node_1137": { + "node_id": "node_1137", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 252.04 kg\n Factor of Safety: 1.35\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": 252.04373165185126, + "fos_buckling": 1.3452645431848547, + "fos_yielding": 1.73024838940255, + "deflection": 0.004689764756592978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1136", + "improvement_over_parent": null + }, + "node_1138": { + "node_id": "node_1138", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.57 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.56772075738024, + "fos_buckling": 1.524280103368079, + "fos_yielding": 2.0134424221457654, + "deflection": 0.004036120797402174, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1137", + "improvement_over_parent": null + }, + "node_1139": { + "node_id": "node_1139", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1138", + "improvement_over_parent": null + }, + "node_1140": { + "node_id": "node_1140", + "content": "INITIAL DESIGN (Trace 164)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 172.78 kg\n Factor of Safety: 0.53\n Max Deflection: 2.49e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.78187335868003, + "fos_buckling": 0.527199182141019, + "fos_yielding": 1.247043057570937, + "deflection": 24894648434256.562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1141": { + "node_id": "node_1141", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 197.77 kg\n Factor of Safety: 0.44\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": 197.7705216080598, + "fos_buckling": 0.43682043219612954, + "fos_yielding": 1.0032628435674302, + "deflection": 0.009834488678321726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004134)" + }, + "parent_node_id": "node_1140", + "improvement_over_parent": null + }, + "node_1142": { + "node_id": "node_1142", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 198.87 kg\n Factor of Safety: 0.44\n Max Deflection: 9.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.8667021762491, + "fos_buckling": 0.4367545396955869, + "fos_yielding": 1.0032157956622454, + "deflection": 0.009529108625436749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.379)" + }, + "parent_node_id": "node_1141", + "improvement_over_parent": null + }, + "node_1143": { + "node_id": "node_1143", + "content": "MODIFICATION: Increase 6 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 200.56 kg\n Factor of Safety: 0.44\n Max Deflection: 9.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.5619320459768, + "fos_buckling": 0.43675453969558703, + "fos_yielding": 1.2710161105095847, + "deflection": 0.009298308057367921, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.287)" + }, + "parent_node_id": "node_1142", + "improvement_over_parent": null + }, + "node_1144": { + "node_id": "node_1144", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 225.65 kg\n Factor of Safety: 0.48\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.64988680385883, + "fos_buckling": 0.4819555938735767, + "fos_yielding": 1.4288647885222705, + "deflection": 0.008276228176789085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1143", + "improvement_over_parent": null + }, + "node_1145": { + "node_id": "node_1145", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.65 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.6459918125603, + "fos_buckling": 0.5215754194154345, + "fos_yielding": 1.5733306104405387, + "deflection": 0.00752054292757598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1144", + "improvement_over_parent": null + }, + "node_1146": { + "node_id": "node_1146", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2279229805062, + "fos_buckling": 1.522933970590432, + "fos_yielding": 2.0133414400594143, + "deflection": 0.004040693157268889, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1145", + "improvement_over_parent": null + }, + "node_1147": { + "node_id": "node_1147", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 165)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 119.24 kg\n Factor of Safety: 0.52\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": 119.23504139171341, + "fos_buckling": 0.5240584869593441, + "fos_yielding": 1.0682016340120692, + "deflection": 0.012534749544352283, + "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 all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 153.26 kg\n Factor of Safety: 0.66\n Max Deflection: 9.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.26376723359917, + "fos_buckling": 0.6587684122032106, + "fos_yielding": 1.3721921558686865, + "deflection": 0.0097646055088172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1148", + "improvement_over_parent": null + }, + "node_1150": { + "node_id": "node_1150", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 158.00 kg\n Factor of Safety: 0.66\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": 158.00398527516867, + "fos_buckling": 0.6589863076226768, + "fos_yielding": 1.3721921558686865, + "deflection": 0.009764554877139214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.333)" + }, + "parent_node_id": "node_1149", + "improvement_over_parent": null + }, + "node_1151": { + "node_id": "node_1151", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 206.06 kg\n Factor of Safety: 0.83\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.06225318489464, + "fos_buckling": 0.8332782219756002, + "fos_yielding": 1.788725524734111, + "deflection": 0.007497815621855558, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_1150", + "improvement_over_parent": null + }, + "node_1152": { + "node_id": "node_1152", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 225.14 kg\n Factor of Safety: 0.84\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.14499020219768, + "fos_buckling": 0.8439662699658664, + "fos_yielding": 1.7977966692440692, + "deflection": 0.007506088637691977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003727)" + }, + "parent_node_id": "node_1151", + "improvement_over_parent": null + }, + "node_1153": { + "node_id": "node_1153", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 287.71 kg\n Factor of Safety: 1.04\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.7089787553922, + "fos_buckling": 1.0356768971684902, + "fos_yielding": 2.293299798089279, + "deflection": 0.005886025904627472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1152", + "improvement_over_parent": null + }, + "node_1154": { + "node_id": "node_1154", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 292.92 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9228087892063, + "fos_buckling": 1.5217589183221312, + "fos_yielding": 2.0100475135358384, + "deflection": 0.004044829044149431, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1153", + "improvement_over_parent": null + }, + "node_1155": { + "node_id": "node_1155", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1154", + "improvement_over_parent": null + }, + "node_1156": { + "node_id": "node_1156", + "content": "INITIAL DESIGN (Trace 166)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 171.56 kg\n Factor of Safety: 0.70\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": 171.5600636582598, + "fos_buckling": 0.6982425022203004, + "fos_yielding": 1.4511963484491406, + "deflection": 0.009295792294696853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1157": { + "node_id": "node_1157", + "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 174.80 kg\n Factor of Safety: 0.70\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": 174.79808256642727, + "fos_buckling": 0.6984180967024991, + "fos_yielding": 1.4512108085773912, + "deflection": 0.00929781033554281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.282)" + }, + "parent_node_id": "node_1156", + "improvement_over_parent": null + }, + "node_1158": { + "node_id": "node_1158", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 196.02 kg\n Factor of Safety: 0.77\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.0238816777002, + "fos_buckling": 0.7724414842195267, + "fos_yielding": 1.626266622080911, + "deflection": 0.008298631124325738, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1157", + "improvement_over_parent": null + }, + "node_1159": { + "node_id": "node_1159", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n\nPerformance:\n Mass: 199.71 kg\n Factor of Safety: 1.08\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.70735486135897, + "fos_buckling": 1.0793125933090213, + "fos_yielding": 1.447637846142984, + "deflection": 0.005839186999926225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002271)" + }, + "parent_node_id": "node_1158", + "improvement_over_parent": null + }, + "node_1160": { + "node_id": "node_1160", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 245.04 kg\n Factor of Safety: 1.29\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.03520410774155, + "fos_buckling": 1.2850305263368336, + "fos_yielding": 1.7734919112177985, + "deflection": 0.004771934850508322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_1159", + "improvement_over_parent": null + }, + "node_1161": { + "node_id": "node_1161", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 283.05 kg\n Factor of Safety: 1.45\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": 283.0520790060469, + "fos_buckling": 1.4465845051405137, + "fos_yielding": 2.045952189074738, + "deflection": 0.004140399752751877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1160", + "improvement_over_parent": null + }, + "node_1162": { + "node_id": "node_1162", + "content": "MODIFICATION: Increase 9 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0097)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 304.05 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": 304.0540049654232, + "fos_buckling": 1.5359053764610637, + "fos_yielding": 2.08321418942775, + "deflection": 0.00387419985892259, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.548)" + }, + "parent_node_id": "node_1161", + "improvement_over_parent": null + }, + "node_1163": { + "node_id": "node_1163", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1162", + "improvement_over_parent": null + }, + "node_1164": { + "node_id": "node_1164", + "content": "INITIAL DESIGN (Trace 167)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0018)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0015)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0019)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0017)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0016)]\n\nPerformance:\n Mass: 81.04 kg\n Factor of Safety: 0.19\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 81.0430823505018, + "fos_buckling": 0.19277671468402546, + "fos_yielding": 0.5153049832499887, + "deflection": 0.02285521386079249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1165": { + "node_id": "node_1165", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n\nPerformance:\n Mass: 102.74 kg\n Factor of Safety: 0.24\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": 102.74033267368718, + "fos_buckling": 0.2406141299124617, + "fos_yielding": 0.6528154802425663, + "deflection": 0.01805078390650392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1164", + "improvement_over_parent": null + }, + "node_1166": { + "node_id": "node_1166", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0025)]\n\nPerformance:\n Mass: 121.16 kg\n Factor of Safety: 0.70\n Max Deflection: 9.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.16156093212652, + "fos_buckling": 0.7026904850535661, + "fos_yielding": 0.8347796364918969, + "deflection": 0.009681532870416825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.002453)" + }, + "parent_node_id": "node_1165", + "improvement_over_parent": null + }, + "node_1167": { + "node_id": "node_1167", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 157.75 kg\n Factor of Safety: 0.89\n Max Deflection: 7.45e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.7491338926352, + "fos_buckling": 0.8943991059924276, + "fos_yielding": 1.085962555148032, + "deflection": 0.0074519590504353896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_1166", + "improvement_over_parent": null + }, + "node_1168": { + "node_id": "node_1168", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 192.47 kg\n Factor of Safety: 1.07\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": 192.4713704935396, + "fos_buckling": 1.0676419482338222, + "fos_yielding": 1.3239557517831113, + "deflection": 0.006119988365092829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1167", + "improvement_over_parent": null + }, + "node_1169": { + "node_id": "node_1169", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 230.33 kg\n Factor of Safety: 1.25\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": 230.33343116717217, + "fos_buckling": 1.2469630633917144, + "fos_yielding": 1.5830450912105354, + "deflection": 0.005125267502212589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_1168", + "improvement_over_parent": null + }, + "node_1170": { + "node_id": "node_1170", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.28 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2793684898206, + "fos_buckling": 1.5231181327335415, + "fos_yielding": 2.0128049633217344, + "deflection": 0.004039968738479168, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1169", + "improvement_over_parent": null + }, + "node_1171": { + "node_id": "node_1171", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1170", + "improvement_over_parent": null + }, + "node_1172": { + "node_id": "node_1172", + "content": "INITIAL DESIGN (Trace 168)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 199.36 kg\n Factor of Safety: 0.90\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": 199.35721062246486, + "fos_buckling": 0.9021409624447188, + "fos_yielding": 1.8536778876268385, + "deflection": 0.006376127010128678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1173": { + "node_id": "node_1173", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 246.41 kg\n Factor of Safety: 1.07\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.40557834412135, + "fos_buckling": 1.0738462646576301, + "fos_yielding": 2.2883102670083972, + "deflection": 0.0051722498076383384, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_1172", + "improvement_over_parent": null + }, + "node_1174": { + "node_id": "node_1174", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 277.38 kg\n Factor of Safety: 1.16\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": 277.38412439319774, + "fos_buckling": 1.1568503893717916, + "fos_yielding": 2.016080204689095, + "deflection": 0.004382016764898935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1173", + "improvement_over_parent": null + }, + "node_1175": { + "node_id": "node_1175", + "content": "MODIFICATION: Increase 7 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.266128020485, + "fos_buckling": 1.5229875443364498, + "fos_yielding": 2.0126592064513833, + "deflection": 0.004040094734729077, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.637)" + }, + "parent_node_id": "node_1174", + "improvement_over_parent": null + }, + "node_1176": { + "node_id": "node_1176", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1175", + "improvement_over_parent": null + }, + "node_1177": { + "node_id": "node_1177", + "content": "INITIAL DESIGN (Trace 169)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 135.22 kg\n Factor of Safety: 0.29\n Max Deflection: 6.14e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.220576976588, + "fos_buckling": 0.29499186664948385, + "fos_yielding": 0.4858796580207949, + "deflection": 61445602110572.57, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1178": { + "node_id": "node_1178", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 160.61 kg\n Factor of Safety: 0.08\n Max Deflection: 1.04e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.6075664896614, + "fos_buckling": 0.08221433526857308, + "fos_yielding": 0.2780527985496872, + "deflection": 104081717981325.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004205)" + }, + "parent_node_id": "node_1177", + "improvement_over_parent": null + }, + "node_1179": { + "node_id": "node_1179", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 196.01 kg\n Factor of Safety: 0.86\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.00884957474747, + "fos_buckling": 0.8558114585888883, + "fos_yielding": 1.615078767966652, + "deflection": 0.007019074984701737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004966)" + }, + "parent_node_id": "node_1178", + "improvement_over_parent": null + }, + "node_1180": { + "node_id": "node_1180", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 197.74 kg\n Factor of Safety: 0.86\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.73955475743415, + "fos_buckling": 0.8558114585888883, + "fos_yielding": 1.615078767966652, + "deflection": 0.007019074984701737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.460)" + }, + "parent_node_id": "node_1179", + "improvement_over_parent": null + }, + "node_1181": { + "node_id": "node_1181", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 205.92 kg\n Factor of Safety: 0.86\n Max Deflection: 6.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.91844667594555, + "fos_buckling": 0.8553300232999433, + "fos_yielding": 1.6148972386865548, + "deflection": 0.006318878742815457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.447)" + }, + "parent_node_id": "node_1180", + "improvement_over_parent": null + }, + "node_1182": { + "node_id": "node_1182", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 232.89 kg\n Factor of Safety: 1.29\n Max Deflection: 5.16e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.88670313482845, + "fos_buckling": 1.2915450347868076, + "fos_yielding": 1.6251724289332667, + "deflection": 0.005157794267375272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004334)" + }, + "parent_node_id": "node_1181", + "improvement_over_parent": null + }, + "node_1183": { + "node_id": "node_1183", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 284.34 kg\n Factor of Safety: 1.52\n Max Deflection: 4.24e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 284.34204797542253, + "fos_buckling": 1.521880577995255, + "fos_yielding": 1.9815246578596692, + "deflection": 0.004235331730935956, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_1182", + "improvement_over_parent": null + }, + "node_1184": { + "node_id": "node_1184", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29702394616214, + "fos_buckling": 1.5228777387521641, + "fos_yielding": 2.012737914961303, + "deflection": 0.004039561540537476, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.376)" + }, + "parent_node_id": "node_1183", + "improvement_over_parent": null + }, + "node_1185": { + "node_id": "node_1185", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1184", + "improvement_over_parent": null + }, + "node_1186": { + "node_id": "node_1186", + "content": "INITIAL DESIGN (Trace 170)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n\nPerformance:\n Mass: 103.70 kg\n Factor of Safety: 0.43\n Max Deflection: 1.67e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.70318158011179, + "fos_buckling": 0.43387689350166997, + "fos_yielding": 1.9361878232196328, + "deflection": 16660218782852.914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1187": { + "node_id": "node_1187", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 121.45 kg\n Factor of Safety: 0.25\n Max Deflection: 1.46e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 121.44642714502858, + "fos_buckling": 0.25234499333158816, + "fos_yielding": 0.5626536856381877, + "deflection": 14648889811967.418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_1186", + "improvement_over_parent": null + }, + "node_1188": { + "node_id": "node_1188", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n\nPerformance:\n Mass: 151.85 kg\n Factor of Safety: 0.39\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": 151.85476385469732, + "fos_buckling": 0.38921958258889827, + "fos_yielding": 1.1100609949555473, + "deflection": 0.011733953597050146, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004220)" + }, + "parent_node_id": "node_1187", + "improvement_over_parent": null + }, + "node_1189": { + "node_id": "node_1189", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 179.05 kg\n Factor of Safety: 0.45\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": 179.04846660300836, + "fos_buckling": 0.4482221568637421, + "fos_yielding": 1.3076667099994879, + "deflection": 0.009967837507723907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1188", + "improvement_over_parent": null + }, + "node_1190": { + "node_id": "node_1190", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 206.36 kg\n Factor of Safety: 0.45\n Max Deflection: 9.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.3570850597439, + "fos_buckling": 0.44738027935770225, + "fos_yielding": 1.306903051454967, + "deflection": 0.009039922359671397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004393)" + }, + "parent_node_id": "node_1189", + "improvement_over_parent": null + }, + "node_1191": { + "node_id": "node_1191", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 243.35 kg\n Factor of Safety: 1.31\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.34959263864155, + "fos_buckling": 1.3061837905725224, + "fos_yielding": 1.6720382171509416, + "deflection": 0.004854778075305732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005113)" + }, + "parent_node_id": "node_1190", + "improvement_over_parent": null + }, + "node_1192": { + "node_id": "node_1192", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20774814829736, + "fos_buckling": 1.5226827063577315, + "fos_yielding": 2.0123471147485583, + "deflection": 0.004040921184037478, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1191", + "improvement_over_parent": null + }, + "node_1193": { + "node_id": "node_1193", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 171)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 173.52 kg\n Factor of Safety: 0.42\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.51699678636254, + "fos_buckling": 0.4246062806636946, + "fos_yielding": 1.2277134200908875, + "deflection": 0.010614853193843412, + "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: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 208.24 kg\n Factor of Safety: 0.82\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": 208.24429375322282, + "fos_buckling": 0.8185945996735434, + "fos_yielding": 1.558891804000751, + "deflection": 0.006406361665023463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004777)" + }, + "parent_node_id": "node_1194", + "improvement_over_parent": null + }, + "node_1196": { + "node_id": "node_1196", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 237.42 kg\n Factor of Safety: 0.91\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": 237.4231044326227, + "fos_buckling": 0.9138759413386495, + "fos_yielding": 1.7760668304764038, + "deflection": 0.005629149711005569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1195", + "improvement_over_parent": null + }, + "node_1197": { + "node_id": "node_1197", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.24 kg\n Factor of Safety: 1.01\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": 267.242485032408, + "fos_buckling": 1.0064039619222824, + "fos_yielding": 1.9976931481019868, + "deflection": 0.005010224587061168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1196", + "improvement_over_parent": null + }, + "node_1198": { + "node_id": "node_1198", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1399221747978, + "fos_buckling": 1.5224753855924993, + "fos_yielding": 2.0118138092947313, + "deflection": 0.00404189573123531, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1197", + "improvement_over_parent": null + }, + "node_1199": { + "node_id": "node_1199", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1198", + "improvement_over_parent": null + }, + "node_1200": { + "node_id": "node_1200", + "content": "INITIAL DESIGN (Trace 172)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 171.97 kg\n Factor of Safety: 0.25\n Max Deflection: 2.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.97408605034474, + "fos_buckling": 0.2484094735444763, + "fos_yielding": 0.5626536856381877, + "deflection": 21714046288536.453, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1201": { + "node_id": "node_1201", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 207.41 kg\n Factor of Safety: 0.89\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": 207.41176600354999, + "fos_buckling": 0.8872653302188367, + "fos_yielding": 1.8197698695654976, + "deflection": 0.006125457791944393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004882)" + }, + "parent_node_id": "node_1200", + "improvement_over_parent": null + }, + "node_1202": { + "node_id": "node_1202", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 232.04 kg\n Factor of Safety: 1.17\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": 232.04045386998402, + "fos_buckling": 1.1671165814100568, + "fos_yielding": 1.601623882254787, + "deflection": 0.005105946345024927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004070)" + }, + "parent_node_id": "node_1201", + "improvement_over_parent": null + }, + "node_1203": { + "node_id": "node_1203", + "content": "MODIFICATION: Increase 4 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 233.11 kg\n Factor of Safety: 1.26\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.10561953210998, + "fos_buckling": 1.2596275194130753, + "fos_yielding": 1.602014608436571, + "deflection": 0.005065143290461968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.252)" + }, + "parent_node_id": "node_1202", + "improvement_over_parent": null + }, + "node_1204": { + "node_id": "node_1204", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.40366610457176, + "fos_buckling": 1.5235551931795488, + "fos_yielding": 2.0136728639618773, + "deflection": 0.004038295438329083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1203", + "improvement_over_parent": null + }, + "node_1205": { + "node_id": "node_1205", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1204", + "improvement_over_parent": null + }, + "node_1206": { + "node_id": "node_1206", + "content": "INITIAL DESIGN (Trace 173)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 182.28 kg\n Factor of Safety: 0.29\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": 182.27696924772965, + "fos_buckling": 0.28915246021844954, + "fos_yielding": 1.194272174632835, + "deflection": 0.011149684940300154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1207": { + "node_id": "node_1207", + "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 188.39 kg\n Factor of Safety: 0.41\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": 188.39469058592348, + "fos_buckling": 0.41414426900193974, + "fos_yielding": 1.1938031849738227, + "deflection": 0.009891568582081517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.529)" + }, + "parent_node_id": "node_1206", + "improvement_over_parent": null + }, + "node_1208": { + "node_id": "node_1208", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 223.96 kg\n Factor of Safety: 0.48\n Max Deflection: 8.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.956243789839, + "fos_buckling": 0.4790323620202589, + "fos_yielding": 1.417552677012613, + "deflection": 0.008337643583664029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_1207", + "improvement_over_parent": null + }, + "node_1209": { + "node_id": "node_1209", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.82 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.81731266014322, + "fos_buckling": 0.521930418341269, + "fos_yielding": 1.573677611810455, + "deflection": 0.007515103390756193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1208", + "improvement_over_parent": null + }, + "node_1210": { + "node_id": "node_1210", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3992438280891, + "fos_buckling": 1.5231254354280876, + "fos_yielding": 2.0137112637464494, + "deflection": 0.0040384314077400296, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1209", + "improvement_over_parent": null + }, + "node_1211": { + "node_id": "node_1211", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1210", + "improvement_over_parent": null + }, + "node_1212": { + "node_id": "node_1212", + "content": "INITIAL DESIGN (Trace 174)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 151.80 kg\n Factor of Safety: 0.57\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.79669661646503, + "fos_buckling": 0.5701526996529077, + "fos_yielding": 1.3247926598799047, + "deflection": 0.012405687165723236, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1213": { + "node_id": "node_1213", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 173.25 kg\n Factor of Safety: 0.64\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.25102746991766, + "fos_buckling": 0.6433561594126408, + "fos_yielding": 1.5102842037602433, + "deflection": 0.010868135791494838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1212", + "improvement_over_parent": null + }, + "node_1214": { + "node_id": "node_1214", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 179.23 kg\n Factor of Safety: 0.67\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": 179.23252367912255, + "fos_buckling": 0.6651717698287682, + "fos_yielding": 1.4882721178181564, + "deflection": 0.010076795389119535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.383)" + }, + "parent_node_id": "node_1213", + "improvement_over_parent": null + }, + "node_1215": { + "node_id": "node_1215", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 217.58 kg\n Factor of Safety: 0.79\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.58100015745117, + "fos_buckling": 0.7913818845872861, + "fos_yielding": 1.8039956919196305, + "deflection": 0.008303571373740201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1214", + "improvement_over_parent": null + }, + "node_1216": { + "node_id": "node_1216", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 221.77 kg\n Factor of Safety: 1.19\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.7729633489659, + "fos_buckling": 1.1887741776993266, + "fos_yielding": 1.5769349953996283, + "deflection": 0.005431380842750653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002608)" + }, + "parent_node_id": "node_1215", + "improvement_over_parent": null + }, + "node_1217": { + "node_id": "node_1217", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 229.57 kg\n Factor of Safety: 1.12\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": 229.56508969183366, + "fos_buckling": 1.1234204913866848, + "fos_yielding": 1.6019859042558462, + "deflection": 0.00518323249498139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.410)" + }, + "parent_node_id": "node_1216", + "improvement_over_parent": null + }, + "node_1218": { + "node_id": "node_1218", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0032)]\n\nPerformance:\n Mass: 230.42 kg\n Factor of Safety: 1.13\n Max Deflection: 5.14e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.42322542640298, + "fos_buckling": 1.1325303327440186, + "fos_yielding": 1.5984934093251641, + "deflection": 0.005140012879252308, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.224)" + }, + "parent_node_id": "node_1217", + "improvement_over_parent": null + }, + "node_1219": { + "node_id": "node_1219", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n\nPerformance:\n Mass: 286.57 kg\n Factor of Safety: 1.37\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": 286.5686595485816, + "fos_buckling": 1.3677093765950277, + "fos_yielding": 1.9852190521029796, + "deflection": 0.004146106101473165, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1218", + "improvement_over_parent": null + }, + "node_1220": { + "node_id": "node_1220", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1219", + "improvement_over_parent": null + }, + "node_1221": { + "node_id": "node_1221", + "content": "INITIAL DESIGN (Trace 175)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1222": { + "node_id": "node_1222", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 268.84 kg\n Factor of Safety: 1.07\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": 268.8410510953092, + "fos_buckling": 1.0721042093965394, + "fos_yielding": 2.287134244823017, + "deflection": 0.004852848294273609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1221", + "improvement_over_parent": null + }, + "node_1223": { + "node_id": "node_1223", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2225230561413, + "fos_buckling": 1.5228696895163494, + "fos_yielding": 2.012447164286147, + "deflection": 0.004040726728707249, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1222", + "improvement_over_parent": null + }, + "node_1224": { + "node_id": "node_1224", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1223", + "improvement_over_parent": null + }, + "node_1225": { + "node_id": "node_1225", + "content": "INITIAL DESIGN (Trace 176)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 224.87 kg\n Factor of Safety: 1.14\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.86764524020685, + "fos_buckling": 1.1406965365395483, + "fos_yielding": 1.6243451325109741, + "deflection": 0.005232755566101483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1226": { + "node_id": "node_1226", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 275.92 kg\n Factor of Safety: 1.36\n Max Deflection: 4.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.92167853592946, + "fos_buckling": 1.3610429735127194, + "fos_yielding": 1.9892686700071205, + "deflection": 0.004276833038085271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1225", + "improvement_over_parent": null + }, + "node_1227": { + "node_id": "node_1227", + "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 285.65 kg\n Factor of Safety: 1.36\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.64682649479516, + "fos_buckling": 1.3566737278200824, + "fos_yielding": 1.9904477341118885, + "deflection": 0.004178566430729464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.460)" + }, + "parent_node_id": "node_1226", + "improvement_over_parent": null + }, + "node_1228": { + "node_id": "node_1228", + "content": "MODIFICATION: Increase 10 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.28698512946323, + "fos_buckling": 1.5234268640344641, + "fos_yielding": 2.012771312086077, + "deflection": 0.004039845464870883, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.227)" + }, + "parent_node_id": "node_1227", + "improvement_over_parent": null + }, + "node_1229": { + "node_id": "node_1229", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1228", + "improvement_over_parent": null + }, + "node_1230": { + "node_id": "node_1230", + "content": "INITIAL DESIGN (Trace 177)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 127.22 kg\n Factor of Safety: 0.52\n Max Deflection: 9.88e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.22432088582615, + "fos_buckling": 0.5164896559675926, + "fos_yielding": 1.0731346552322265, + "deflection": 9881738858131.148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1231": { + "node_id": "node_1231", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 152.52 kg\n Factor of Safety: 0.66\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.5164927077645, + "fos_buckling": 0.6607305731959496, + "fos_yielding": 1.2989221821912782, + "deflection": 0.008491826552841806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003413)" + }, + "parent_node_id": "node_1230", + "improvement_over_parent": null + }, + "node_1232": { + "node_id": "node_1232", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 196.15 kg\n Factor of Safety: 0.82\n Max Deflection: 6.62e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.14712945485792, + "fos_buckling": 0.8243026450323355, + "fos_yielding": 1.6698172297343237, + "deflection": 0.006621077529434345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1231", + "improvement_over_parent": null + }, + "node_1233": { + "node_id": "node_1233", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 238.30 kg\n Factor of Safety: 0.97\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": 238.3007829284643, + "fos_buckling": 0.9717544331627355, + "fos_yielding": 2.0278660049280663, + "deflection": 0.0054642982258143865, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1232", + "improvement_over_parent": null + }, + "node_1234": { + "node_id": "node_1234", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 259.92 kg\n Factor of Safety: 1.38\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.9231075897747, + "fos_buckling": 1.3802308249627522, + "fos_yielding": 1.7851162627570198, + "deflection": 0.004549683765977017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004265)" + }, + "parent_node_id": "node_1233", + "improvement_over_parent": null + }, + "node_1235": { + "node_id": "node_1235", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.04 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0431675043066, + "fos_buckling": 1.522186271918956, + "fos_yielding": 2.011080298805017, + "deflection": 0.0040432278071749015, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1234", + "improvement_over_parent": null + }, + "node_1236": { + "node_id": "node_1236", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1235", + "improvement_over_parent": null + }, + "node_1237": { + "node_id": "node_1237", + "content": "INITIAL DESIGN (Trace 178)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 0.73\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.48117409362254, + "fos_buckling": 0.7282133505308082, + "fos_yielding": 1.344042780998892, + "deflection": 0.007601502411943318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1238": { + "node_id": "node_1238", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 219.19 kg\n Factor of Safety: 0.88\n Max Deflection: 6.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.1929425743745, + "fos_buckling": 0.8846285739453411, + "fos_yielding": 1.685923396538633, + "deflection": 0.006067121323570187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_1237", + "improvement_over_parent": null + }, + "node_1239": { + "node_id": "node_1239", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 241.29 kg\n Factor of Safety: 1.13\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": 241.29189286137967, + "fos_buckling": 1.1340366157844597, + "fos_yielding": 1.6991315076795042, + "deflection": 0.004987304445611123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004216)" + }, + "parent_node_id": "node_1238", + "improvement_over_parent": null + }, + "node_1240": { + "node_id": "node_1240", + "content": "MODIFICATION: Increase 5 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0048)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 243.18 kg\n Factor of Safety: 1.16\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": 243.18025022110888, + "fos_buckling": 1.1550441886863403, + "fos_yielding": 2.0661628827748126, + "deflection": 0.004942237828597599, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.245)" + }, + "parent_node_id": "node_1239", + "improvement_over_parent": null + }, + "node_1241": { + "node_id": "node_1241", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 285.11 kg\n Factor of Safety: 1.33\n Max Deflection: 4.22e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.10857263072324, + "fos_buckling": 1.3266965032670817, + "fos_yielding": 2.410493009929707, + "deflection": 0.004223884720917577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_1240", + "improvement_over_parent": null + }, + "node_1242": { + "node_id": "node_1242", + "content": "MODIFICATION: Increase 10 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0057)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0065)]\n\nPerformance:\n Mass: 291.83 kg\n Factor of Safety: 1.32\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": 291.8276298521739, + "fos_buckling": 1.324033200048431, + "fos_yielding": 2.4113183418868047, + "deflection": 0.004178247277802716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.294)" + }, + "parent_node_id": "node_1241", + "improvement_over_parent": null + }, + "node_1243": { + "node_id": "node_1243", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1242", + "improvement_over_parent": null + }, + "node_1244": { + "node_id": "node_1244", + "content": "INITIAL DESIGN (Trace 179)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n\nPerformance:\n Mass: 149.38 kg\n Factor of Safety: 0.14\n Max Deflection: 8.37e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.3782230347047, + "fos_buckling": 0.13775479864930146, + "fos_yielding": 0.6080323364908599, + "deflection": 83748068559028.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1245": { + "node_id": "node_1245", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 170.64 kg\n Factor of Safety: 0.38\n Max Deflection: 1.09e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.63717454973053, + "fos_buckling": 0.38013257104308656, + "fos_yielding": 1.0819184444940761, + "deflection": 0.010910468193626737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003478)" + }, + "parent_node_id": "node_1244", + "improvement_over_parent": null + }, + "node_1246": { + "node_id": "node_1246", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 213.58 kg\n Factor of Safety: 0.46\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.58110549913243, + "fos_buckling": 0.46047572086295835, + "fos_yielding": 1.3523647213084136, + "deflection": 0.008737928531368044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1245", + "improvement_over_parent": null + }, + "node_1247": { + "node_id": "node_1247", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 251.89 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": 251.89088480240474, + "fos_buckling": 1.3448771520254075, + "fos_yielding": 1.7303265203521827, + "deflection": 0.004692443535938442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005310)" + }, + "parent_node_id": "node_1246", + "improvement_over_parent": null + }, + "node_1248": { + "node_id": "node_1248", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.94 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.94085147674747, + "fos_buckling": 1.5219801745735375, + "fos_yielding": 2.010453375759205, + "deflection": 0.004044504758984236, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1247", + "improvement_over_parent": null + }, + "node_1249": { + "node_id": "node_1249", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1248", + "improvement_over_parent": null + }, + "node_1250": { + "node_id": "node_1250", + "content": "INITIAL DESIGN (Trace 180)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 181.02 kg\n Factor of Safety: 0.88\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": 181.0244603023512, + "fos_buckling": 0.8760269609849821, + "fos_yielding": 1.3231957546807371, + "deflection": 0.006632242604736492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1251": { + "node_id": "node_1251", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 219.96 kg\n Factor of Safety: 1.05\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": 219.958365258127, + "fos_buckling": 1.0529185437714892, + "fos_yielding": 1.6052941690439437, + "deflection": 0.005468498040108342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1250", + "improvement_over_parent": null + }, + "node_1252": { + "node_id": "node_1252", + "content": "MODIFICATION: Increase 3 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 223.88 kg\n Factor of Safety: 1.03\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.87763244025052, + "fos_buckling": 1.0265069409953163, + "fos_yielding": 1.5942264674210518, + "deflection": 0.005413935343882987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.276)" + }, + "parent_node_id": "node_1251", + "improvement_over_parent": null + }, + "node_1253": { + "node_id": "node_1253", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 285.21 kg\n Factor of Safety: 1.29\n Max Deflection: 4.26e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.2087627631417, + "fos_buckling": 1.2860915209247639, + "fos_yielding": 2.026725470600395, + "deflection": 0.0042614147605948265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1252", + "improvement_over_parent": null + }, + "node_1254": { + "node_id": "node_1254", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.97 kg\n Factor of Safety: 1.52\n Max Deflection: 4.16e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 286.9687384575683, + "fos_buckling": 1.5204271060510388, + "fos_yielding": 2.013730390028975, + "deflection": 0.0041643683844319835, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.558)" + }, + "parent_node_id": "node_1253", + "improvement_over_parent": null + }, + "node_1255": { + "node_id": "node_1255", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.229244913957, + "fos_buckling": 1.5229430543019749, + "fos_yielding": 2.012449893324718, + "deflection": 0.004040538416957099, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.248)" + }, + "parent_node_id": "node_1254", + "improvement_over_parent": null + }, + "node_1256": { + "node_id": "node_1256", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1255", + "improvement_over_parent": null + }, + "node_1257": { + "node_id": "node_1257", + "content": "INITIAL DESIGN (Trace 181)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 170.10 kg\n Factor of Safety: 0.88\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": 170.09577749159794, + "fos_buckling": 0.8765456104457977, + "fos_yielding": 1.1758849458482046, + "deflection": 0.0069416006422147155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1258": { + "node_id": "node_1258", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 206.87 kg\n Factor of Safety: 1.05\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": 206.87002008567197, + "fos_buckling": 1.0486205743423234, + "fos_yielding": 1.4288527884217006, + "deflection": 0.005719587792318685, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_1257", + "improvement_over_parent": null + }, + "node_1259": { + "node_id": "node_1259", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 207.84 kg\n Factor of Safety: 1.14\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": 207.84497633649482, + "fos_buckling": 1.141646521909056, + "fos_yielding": 1.4292125232418516, + "deflection": 0.005672388141560341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.258)" + }, + "parent_node_id": "node_1258", + "improvement_over_parent": null + }, + "node_1260": { + "node_id": "node_1260", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 238.94 kg\n Factor of Safety: 1.29\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": 238.94016804481288, + "fos_buckling": 1.2863271884924754, + "fos_yielding": 1.641881475424901, + "deflection": 0.004943124363429683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_1259", + "improvement_over_parent": null + }, + "node_1261": { + "node_id": "node_1261", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.34 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.33927595578933, + "fos_buckling": 1.5233591651619882, + "fos_yielding": 2.013216190208058, + "deflection": 0.004039157530466538, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1260", + "improvement_over_parent": null + }, + "node_1262": { + "node_id": "node_1262", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1261", + "improvement_over_parent": null + }, + "node_1263": { + "node_id": "node_1263", + "content": "INITIAL DESIGN (Trace 182)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 152.76 kg\n Factor of Safety: 0.59\n Max Deflection: 8.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.7605523208594, + "fos_buckling": 0.5889333159221406, + "fos_yielding": 1.1475453038682657, + "deflection": 0.008540504519302263, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1264": { + "node_id": "node_1264", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 193.10 kg\n Factor of Safety: 0.73\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.10348675511386, + "fos_buckling": 0.7277571751223638, + "fos_yielding": 1.4546141500041716, + "deflection": 0.006769449725422355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1263", + "improvement_over_parent": null + }, + "node_1265": { + "node_id": "node_1265", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 248.09 kg\n Factor of Safety: 0.91\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": 248.08823546983814, + "fos_buckling": 0.9057743961915509, + "fos_yielding": 1.876693786344054, + "deflection": 0.0052828370478386465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_1264", + "improvement_over_parent": null + }, + "node_1266": { + "node_id": "node_1266", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 271.49 kg\n Factor of Safety: 1.17\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": 271.4901359294859, + "fos_buckling": 1.1652352794710854, + "fos_yielding": 1.8997704668060515, + "deflection": 0.0043837703030929, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003853)" + }, + "parent_node_id": "node_1265", + "improvement_over_parent": null + }, + "node_1267": { + "node_id": "node_1267", + "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 274.85 kg\n Factor of Safety: 1.17\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.8548659272558, + "fos_buckling": 1.1656866230317628, + "fos_yielding": 1.900506326063031, + "deflection": 0.004352665828816398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.176)" + }, + "parent_node_id": "node_1266", + "improvement_over_parent": null + }, + "node_1268": { + "node_id": "node_1268", + "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 277.43 kg\n Factor of Safety: 1.29\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 277.430171958924, + "fos_buckling": 1.2924347148721926, + "fos_yielding": 2.010530130514676, + "deflection": 0.004273998729107397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.631)" + }, + "parent_node_id": "node_1267", + "improvement_over_parent": null + }, + "node_1269": { + "node_id": "node_1269", + "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0068)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 289.10 kg\n Factor of Safety: 1.53\n Max Deflection: 4.05e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 289.1020100088613, + "fos_buckling": 1.5306151050829369, + "fos_yielding": 2.0421169673921686, + "deflection": 0.004054270629757529, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.355)" + }, + "parent_node_id": "node_1268", + "improvement_over_parent": null + }, + "node_1270": { + "node_id": "node_1270", + "content": "MODIFICATION: Increase 10 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0068)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0048)]\n\nPerformance:\n Mass: 294.37 kg\n Factor of Safety: 1.53\n Max Deflection: 4.01e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 294.3678667916856, + "fos_buckling": 1.5278611424609547, + "fos_yielding": 2.026304819998102, + "deflection": 0.004006839852273456, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.245)" + }, + "parent_node_id": "node_1269", + "improvement_over_parent": null + }, + "node_1271": { + "node_id": "node_1271", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1270", + "improvement_over_parent": null + }, + "node_1272": { + "node_id": "node_1272", + "content": "INITIAL DESIGN (Trace 183)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n\nPerformance:\n Mass: 157.46 kg\n Factor of Safety: 0.27\n Max Deflection: 1.78e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.45589524686807, + "fos_buckling": 0.2709675549515497, + "fos_yielding": 0.9640187740543913, + "deflection": 17756347756285.156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1273": { + "node_id": "node_1273", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n\nPerformance:\n Mass: 169.98 kg\n Factor of Safety: 0.29\n Max Deflection: 7.49e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.97596499920985, + "fos_buckling": 0.2905014840229653, + "fos_yielding": 0.523791039878986, + "deflection": 74894063882980.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.543)" + }, + "parent_node_id": "node_1272", + "improvement_over_parent": null + }, + "node_1274": { + "node_id": "node_1274", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 196.83 kg\n Factor of Safety: 0.46\n Max Deflection: 9.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.83497808579415, + "fos_buckling": 0.4646527888312276, + "fos_yielding": 1.3654360567022377, + "deflection": 0.009107324821838535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004469)" + }, + "parent_node_id": "node_1273", + "improvement_over_parent": null + }, + "node_1275": { + "node_id": "node_1275", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 205.97 kg\n Factor of Safety: 0.46\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": 205.97035881828702, + "fos_buckling": 0.464360820547819, + "fos_yielding": 1.3651693320724008, + "deflection": 0.008764617336719528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.486)" + }, + "parent_node_id": "node_1274", + "improvement_over_parent": null + }, + "node_1276": { + "node_id": "node_1276", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 237.58 kg\n Factor of Safety: 0.52\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.57590265250005, + "fos_buckling": 0.5217970743484215, + "fos_yielding": 1.572354482625323, + "deflection": 0.007614465072202574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1275", + "improvement_over_parent": null + }, + "node_1277": { + "node_id": "node_1277", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.16 kg\n Factor of Safety: 1.44\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.15783382044594, + "fos_buckling": 1.4360254661034741, + "fos_yielding": 2.0101740783245092, + "deflection": 0.004158266595672523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1276", + "improvement_over_parent": null + }, + "node_1278": { + "node_id": "node_1278", + "content": "MODIFICATION: Increase 8 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.12674134550974, + "fos_buckling": 1.522764821016491, + "fos_yielding": 2.011685574489426, + "deflection": 0.004042164750509042, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.548)" + }, + "parent_node_id": "node_1277", + "improvement_over_parent": null + }, + "node_1279": { + "node_id": "node_1279", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1278", + "improvement_over_parent": null + }, + "node_1280": { + "node_id": "node_1280", + "content": "INITIAL DESIGN (Trace 184)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 105.73 kg\n Factor of Safety: 0.28\n Max Deflection: 1.66e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.72913152163115, + "fos_buckling": 0.2824702161935376, + "fos_yielding": 0.8261088594314352, + "deflection": 0.01661849803980254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1281": { + "node_id": "node_1281", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 129.91 kg\n Factor of Safety: 0.34\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.91244041757682, + "fos_buckling": 0.34088871498414053, + "fos_yielding": 1.0135675074441837, + "deflection": 0.013545554321839947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1280", + "improvement_over_parent": null + }, + "node_1282": { + "node_id": "node_1282", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 159.54 kg\n Factor of Safety: 0.41\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": 159.5376045885477, + "fos_buckling": 0.4093476779983091, + "fos_yielding": 1.242447658307408, + "deflection": 0.011050844516519408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1281", + "improvement_over_parent": null + }, + "node_1283": { + "node_id": "node_1283", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 162.68 kg\n Factor of Safety: 0.41\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.67604416440784, + "fos_buckling": 0.40925906339785706, + "fos_yielding": 1.2423046514162512, + "deflection": 0.011002090760910006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.195)" + }, + "parent_node_id": "node_1282", + "improvement_over_parent": null + }, + "node_1284": { + "node_id": "node_1284", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 205.59 kg\n Factor of Safety: 0.50\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.59231014492883, + "fos_buckling": 0.5007564022615065, + "fos_yielding": 1.5663968670694322, + "deflection": 0.008727110336186873, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1283", + "improvement_over_parent": null + }, + "node_1285": { + "node_id": "node_1285", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 241.06 kg\n Factor of Safety: 1.30\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": 241.05974212970332, + "fos_buckling": 1.2961788910109393, + "fos_yielding": 1.6565645424105302, + "deflection": 0.0049005318845191355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004976)" + }, + "parent_node_id": "node_1284", + "improvement_over_parent": null + }, + "node_1286": { + "node_id": "node_1286", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.52 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.51961487925445, + "fos_buckling": 1.5243731072343838, + "fos_yielding": 2.0146803836424128, + "deflection": 0.00403693370952994, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1285", + "improvement_over_parent": null + }, + "node_1287": { + "node_id": "node_1287", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1286", + "improvement_over_parent": null + }, + "node_1288": { + "node_id": "node_1288", + "content": "INITIAL DESIGN (Trace 185)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\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_1289": { + "node_id": "node_1289", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 217.19 kg\n Factor of Safety: 0.89\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.18637720541727, + "fos_buckling": 0.8872215318840563, + "fos_yielding": 1.1918069364525923, + "deflection": 0.006326232004137553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004545)" + }, + "parent_node_id": "node_1288", + "improvement_over_parent": null + }, + "node_1290": { + "node_id": "node_1290", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 222.11 kg\n Factor of Safety: 0.89\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": 222.11261349203636, + "fos_buckling": 0.8869212970195998, + "fos_yielding": 1.1917336990181364, + "deflection": 0.005997961742679234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.220)" + }, + "parent_node_id": "node_1289", + "improvement_over_parent": null + }, + "node_1291": { + "node_id": "node_1291", + "content": "MODIFICATION: Increase 2 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 226.25 kg\n Factor of Safety: 0.89\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.24970835225815, + "fos_buckling": 0.8866693141783727, + "fos_yielding": 1.1836493701935236, + "deflection": 0.005944331202349279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.267)" + }, + "parent_node_id": "node_1290", + "improvement_over_parent": null + }, + "node_1292": { + "node_id": "node_1292", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 264.38 kg\n Factor of Safety: 1.01\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": 264.38473676895694, + "fos_buckling": 1.0071755005922136, + "fos_yielding": 1.3883384742608782, + "deflection": 0.005098059064622982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1291", + "improvement_over_parent": null + }, + "node_1293": { + "node_id": "node_1293", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 290.28 kg\n Factor of Safety: 1.20\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.2821739113467, + "fos_buckling": 1.2024364818952253, + "fos_yielding": 1.3981998133317264, + "deflection": 0.004125980547897555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1292", + "improvement_over_parent": null + }, + "node_1294": { + "node_id": "node_1294", + "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0093)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 309.09 kg\n Factor of Safety: 1.20\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": 309.0860276933755, + "fos_buckling": 1.2010572543513467, + "fos_yielding": 1.3965960398905266, + "deflection": 0.0039144708521431405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.504)" + }, + "parent_node_id": "node_1293", + "improvement_over_parent": null + }, + "node_1295": { + "node_id": "node_1295", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1294", + "improvement_over_parent": null + }, + "node_1296": { + "node_id": "node_1296", + "content": "INITIAL DESIGN (Trace 186)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1297": { + "node_id": "node_1297", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 231.36 kg\n Factor of Safety: 1.01\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.35669687489977, + "fos_buckling": 1.009143845880096, + "fos_yielding": 2.2877842138483677, + "deflection": 0.005925883675688725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1296", + "improvement_over_parent": null + }, + "node_1298": { + "node_id": "node_1298", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 264.27 kg\n Factor of Safety: 1.07\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": 264.2692335065168, + "fos_buckling": 1.0724400359619908, + "fos_yielding": 2.2877842138483686, + "deflection": 0.0048514478752933856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1297", + "improvement_over_parent": null + }, + "node_1299": { + "node_id": "node_1299", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0060)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 268.66 kg\n Factor of Safety: 1.07\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": 268.657455824355, + "fos_buckling": 1.0721176914823898, + "fos_yielding": 2.2877842138483677, + "deflection": 0.004814495576400544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.190)" + }, + "parent_node_id": "node_1298", + "improvement_over_parent": null + }, + "node_1300": { + "node_id": "node_1300", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0060)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.04 kg\n Factor of Safety: 1.49\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": 293.03892778518707, + "fos_buckling": 1.491200235599823, + "fos_yielding": 2.025043992215134, + "deflection": 0.0040451760737443285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1299", + "improvement_over_parent": null + }, + "node_1301": { + "node_id": "node_1301", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1300", + "improvement_over_parent": null + }, + "node_1302": { + "node_id": "node_1302", + "content": "INITIAL DESIGN (Trace 187)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 187.52 kg\n Factor of Safety: 0.88\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": 187.52216209559805, + "fos_buckling": 0.8844292773189248, + "fos_yielding": 1.9481980480620682, + "deflection": 0.0072390007369990085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1303": { + "node_id": "node_1303", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 208.27 kg\n Factor of Safety: 0.88\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.2726240049747, + "fos_buckling": 0.8831671680528451, + "fos_yielding": 1.7308803252632312, + "deflection": 0.006300326132866788, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004079)" + }, + "parent_node_id": "node_1302", + "improvement_over_parent": null + }, + "node_1304": { + "node_id": "node_1304", + "content": "MODIFICATION: Increase 8 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 226.32 kg\n Factor of Safety: 0.88\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": 226.3246394272276, + "fos_buckling": 0.882072113225868, + "fos_yielding": 1.7615865492248686, + "deflection": 0.006002460784603242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.538)" + }, + "parent_node_id": "node_1303", + "improvement_over_parent": null + }, + "node_1305": { + "node_id": "node_1305", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 254.33 kg\n Factor of Safety: 1.39\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": 254.33477699209993, + "fos_buckling": 1.3904863995591585, + "fos_yielding": 1.7743253133165604, + "deflection": 0.004657568318008469, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004515)" + }, + "parent_node_id": "node_1304", + "improvement_over_parent": null + }, + "node_1306": { + "node_id": "node_1306", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0096)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 298.40 kg\n Factor of Safety: 1.59\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": 298.39718826599983, + "fos_buckling": 1.5856537247368185, + "fos_yielding": 2.081572671107292, + "deflection": 0.003977689586044926, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1305", + "improvement_over_parent": null + }, + "node_1307": { + "node_id": "node_1307", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0096)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 303.59 kg\n Factor of Safety: 1.53\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": 303.58534459465227, + "fos_buckling": 1.5348739577030828, + "fos_yielding": 2.0805708329793093, + "deflection": 0.0038793590427936933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.198)" + }, + "parent_node_id": "node_1306", + "improvement_over_parent": null + }, + "node_1308": { + "node_id": "node_1308", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1307", + "improvement_over_parent": null + }, + "node_1309": { + "node_id": "node_1309", + "content": "INITIAL DESIGN (Trace 188)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 173.69 kg\n Factor of Safety: 0.38\n Max Deflection: 2.90e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.69083453716914, + "fos_buckling": 0.38263399972134204, + "fos_yielding": 1.1247929757819168, + "deflection": 0.02896131788691311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1310": { + "node_id": "node_1310", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 209.83 kg\n Factor of Safety: 0.45\n Max Deflection: 2.40e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.8316720244698, + "fos_buckling": 0.4500497910963689, + "fos_yielding": 1.3572946580115777, + "deflection": 0.02399605233710521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1309", + "improvement_over_parent": null + }, + "node_1311": { + "node_id": "node_1311", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 243.26 kg\n Factor of Safety: 0.51\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": 243.261291283522, + "fos_buckling": 0.508690560286076, + "fos_yielding": 1.571885694628862, + "deflection": 0.020716764091169803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1310", + "improvement_over_parent": null + }, + "node_1312": { + "node_id": "node_1312", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 287.84 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.8432224514679, + "fos_buckling": 1.0361364678040406, + "fos_yielding": 2.2944057125435995, + "deflection": 0.005882239782080797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1311", + "improvement_over_parent": null + }, + "node_1313": { + "node_id": "node_1313", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.06 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.057052485282, + "fos_buckling": 1.52274600856278, + "fos_yielding": 2.0111172176079526, + "deflection": 0.004042842931622561, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1312", + "improvement_over_parent": null + }, + "node_1314": { + "node_id": "node_1314", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1313", + "improvement_over_parent": null + }, + "node_1315": { + "node_id": "node_1315", + "content": "INITIAL DESIGN (Trace 189)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 194.74 kg\n Factor of Safety: 0.77\n Max Deflection: 8.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.7401286970934, + "fos_buckling": 0.7653788503696436, + "fos_yielding": 1.6090205010634426, + "deflection": 0.008387402339693402, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1316": { + "node_id": "node_1316", + "content": "MODIFICATION: Increase 8 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 201.30 kg\n Factor of Safety: 0.77\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": 201.2984689405766, + "fos_buckling": 0.766134888215006, + "fos_yielding": 1.608733215816791, + "deflection": 0.008387274458305907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.462)" + }, + "parent_node_id": "node_1315", + "improvement_over_parent": null + }, + "node_1317": { + "node_id": "node_1317", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 260.43 kg\n Factor of Safety: 0.95\n Max Deflection: 6.50e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.43179364506796, + "fos_buckling": 0.9544885677730532, + "fos_yielding": 2.077816302969123, + "deflection": 0.0064956085930607645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1316", + "improvement_over_parent": null + }, + "node_1318": { + "node_id": "node_1318", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 265.15 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": 265.14729068889125, + "fos_buckling": 1.4030412545612523, + "fos_yielding": 1.821039341944356, + "deflection": 0.004461201620428001, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002962)" + }, + "parent_node_id": "node_1317", + "improvement_over_parent": null + }, + "node_1319": { + "node_id": "node_1319", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1354592027051, + "fos_buckling": 1.522481905723169, + "fos_yielding": 2.0119921263760805, + "deflection": 0.004041804720584849, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_1318", + "improvement_over_parent": null + }, + "node_1320": { + "node_id": "node_1320", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1319", + "improvement_over_parent": null + }, + "node_1321": { + "node_id": "node_1321", + "content": "INITIAL DESIGN (Trace 190)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 139.46 kg\n Factor of Safety: 0.50\n Max Deflection: 1.16e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 139.45987767291768, + "fos_buckling": 0.4962879212158168, + "fos_yielding": 1.1253073712763755, + "deflection": 11591129650839.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1322": { + "node_id": "node_1322", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 174.28 kg\n Factor of Safety: 0.17\n Max Deflection: 1.30e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.27756655082956, + "fos_buckling": 0.17425074084514566, + "fos_yielding": 0.14066342140954693, + "deflection": 130055456116677.25, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1321", + "improvement_over_parent": null + }, + "node_1323": { + "node_id": "node_1323", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 198.66 kg\n Factor of Safety: 0.90\n Max Deflection: 6.45e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.65903851166166, + "fos_buckling": 0.9036536173053008, + "fos_yielding": 0.2994996373922926, + "deflection": 64484888879067.086, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1322", + "improvement_over_parent": null + }, + "node_1324": { + "node_id": "node_1324", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 241.86 kg\n Factor of Safety: 1.01\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.8570964491139, + "fos_buckling": 1.0084614402740417, + "fos_yielding": 1.998304863945694, + "deflection": 0.005836207487366745, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1323", + "improvement_over_parent": null + }, + "node_1325": { + "node_id": "node_1325", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 274.77 kg\n Factor of Safety: 1.25\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": 274.7696330807309, + "fos_buckling": 1.2450212165923313, + "fos_yielding": 2.0138706390178136, + "deflection": 0.004434201686816191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1324", + "improvement_over_parent": null + }, + "node_1326": { + "node_id": "node_1326", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 280.43 kg\n Factor of Safety: 1.45\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": 280.42658845147156, + "fos_buckling": 1.4453052125293007, + "fos_yielding": 2.01475731649307, + "deflection": 0.004350719825444255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.307)" + }, + "parent_node_id": "node_1325", + "improvement_over_parent": null + }, + "node_1327": { + "node_id": "node_1327", + "content": "MODIFICATION: Increase 0 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1415855910563, + "fos_buckling": 1.5224657441730238, + "fos_yielding": 2.0116396278378366, + "deflection": 0.004041933246049542, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.656)" + }, + "parent_node_id": "node_1326", + "improvement_over_parent": null + }, + "node_1328": { + "node_id": "node_1328", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1327", + "improvement_over_parent": null + }, + "node_1329": { + "node_id": "node_1329", + "content": "INITIAL DESIGN (Trace 191)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 147.78 kg\n Factor of Safety: 0.70\n Max Deflection: 9.91e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.78474484215457, + "fos_buckling": 0.7040833308444222, + "fos_yielding": 1.4952688944279153, + "deflection": 0.009911488802270448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1330": { + "node_id": "node_1330", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n\nPerformance:\n Mass: 164.70 kg\n Factor of Safety: 0.75\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 164.69651663865145, + "fos_buckling": 0.7490617470699825, + "fos_yielding": 1.495268894427916, + "deflection": 0.00827414517672733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003167)" + }, + "parent_node_id": "node_1329", + "improvement_over_parent": null + }, + "node_1331": { + "node_id": "node_1331", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 203.46 kg\n Factor of Safety: 0.90\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": 203.46389610263122, + "fos_buckling": 0.8983711097539555, + "fos_yielding": 1.8452334566194084, + "deflection": 0.006708031323405459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1330", + "improvement_over_parent": null + }, + "node_1332": { + "node_id": "node_1332", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 211.95 kg\n Factor of Safety: 0.90\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.9465186418717, + "fos_buckling": 0.8978471879524602, + "fos_yielding": 1.8452334566194089, + "deflection": 0.005997092131374382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.460)" + }, + "parent_node_id": "node_1331", + "improvement_over_parent": null + }, + "node_1333": { + "node_id": "node_1333", + "content": "MODIFICATION: Increase 8 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0062)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 220.33 kg\n Factor of Safety: 1.07\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.33114288141752, + "fos_buckling": 1.070415760017739, + "fos_yielding": 1.8452334566194084, + "deflection": 0.005633975791175462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.256)" + }, + "parent_node_id": "node_1332", + "improvement_over_parent": null + }, + "node_1334": { + "node_id": "node_1334", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0062)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n\nPerformance:\n Mass: 239.97 kg\n Factor of Safety: 1.28\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": 239.9707857066074, + "fos_buckling": 1.282018031596514, + "fos_yielding": 1.6553570541870306, + "deflection": 0.004879098162960202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003844)" + }, + "parent_node_id": "node_1333", + "improvement_over_parent": null + }, + "node_1335": { + "node_id": "node_1335", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0079)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 297.91 kg\n Factor of Safety: 1.53\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": 297.90822569008907, + "fos_buckling": 1.5329445985845231, + "fos_yielding": 2.053060688377359, + "deflection": 0.0039436994265880255, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_1334", + "improvement_over_parent": null + }, + "node_1336": { + "node_id": "node_1336", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1335", + "improvement_over_parent": null + }, + "node_1337": { + "node_id": "node_1337", + "content": "INITIAL DESIGN (Trace 192)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 160.83 kg\n Factor of Safety: 0.41\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": 160.83000321992205, + "fos_buckling": 0.40519893889744263, + "fos_yielding": 1.2284258128098868, + "deflection": 0.011126499803822784, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1338": { + "node_id": "node_1338", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 193.11 kg\n Factor of Safety: 0.47\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.11225872342635, + "fos_buckling": 0.4748808541622061, + "fos_yielding": 1.4724193815178368, + "deflection": 0.009283842551367015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1337", + "improvement_over_parent": null + }, + "node_1339": { + "node_id": "node_1339", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n\nPerformance:\n Mass: 226.49 kg\n Factor of Safety: 1.23\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": 226.4860792722322, + "fos_buckling": 1.2291401320934945, + "fos_yielding": 1.5566649278033144, + "deflection": 0.005211138140269423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004661)" + }, + "parent_node_id": "node_1338", + "improvement_over_parent": null + }, + "node_1340": { + "node_id": "node_1340", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.13731641437687, + "fos_buckling": 1.5224646353688278, + "fos_yielding": 2.0117445217884757, + "deflection": 0.0040418724898577205, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1339", + "improvement_over_parent": null + }, + "node_1341": { + "node_id": "node_1341", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1340", + "improvement_over_parent": null + }, + "node_1342": { + "node_id": "node_1342", + "content": "INITIAL DESIGN (Trace 193)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 138.18 kg\n Factor of Safety: 0.22\n Max Deflection: 1.07e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.1838066731219, + "fos_buckling": 0.2174844580493354, + "fos_yielding": 0.9266500025468587, + "deflection": 10683514096333.982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1343": { + "node_id": "node_1343", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 141.45 kg\n Factor of Safety: 0.40\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.45277768020605, + "fos_buckling": 0.3965070794439647, + "fos_yielding": 1.1981016671491047, + "deflection": 0.012435242515732267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002001)" + }, + "parent_node_id": "node_1342", + "improvement_over_parent": null + }, + "node_1344": { + "node_id": "node_1344", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n\nPerformance:\n Mass: 156.74 kg\n Factor of Safety: 0.40\n Max Deflection: 1.14e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.73756841154582, + "fos_buckling": 0.39608888413111026, + "fos_yielding": 1.1974298390983074, + "deflection": 0.011414229605525015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002943)" + }, + "parent_node_id": "node_1343", + "improvement_over_parent": null + }, + "node_1345": { + "node_id": "node_1345", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 0.50\n Max Deflection: 8.80e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.80673666213323, + "fos_buckling": 0.497116271175075, + "fos_yielding": 1.553056726781073, + "deflection": 0.008802072085080683, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1344", + "improvement_over_parent": null + }, + "node_1346": { + "node_id": "node_1346", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 250.21 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.20540343582215, + "fos_buckling": 0.5887356070606123, + "fos_yielding": 1.9018481023627665, + "deflection": 0.007189033557870162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1345", + "improvement_over_parent": null + }, + "node_1347": { + "node_id": "node_1347", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.40346137327435, + "fos_buckling": 1.5237436612823487, + "fos_yielding": 2.013844436793647, + "deflection": 0.00403833005485179, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1346", + "improvement_over_parent": null + }, + "node_1348": { + "node_id": "node_1348", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 194)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 158.18 kg\n Factor of Safety: 0.68\n Max Deflection: 8.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.1824504062353, + "fos_buckling": 0.6825763427780919, + "fos_yielding": 1.3471203752299927, + "deflection": 0.008190671437814752, + "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n\nPerformance:\n Mass: 172.53 kg\n Factor of Safety: 0.97\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.52947690020738, + "fos_buckling": 0.9691696675204169, + "fos_yielding": 1.1873107268467735, + "deflection": 0.006819458687403053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002753)" + }, + "parent_node_id": "node_1349", + "improvement_over_parent": null + }, + "node_1351": { + "node_id": "node_1351", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 192.89 kg\n Factor of Safety: 1.07\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.89453891315506, + "fos_buckling": 1.0696954361286957, + "fos_yielding": 1.3268484437355115, + "deflection": 0.006106730535361638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1350", + "improvement_over_parent": null + }, + "node_1352": { + "node_id": "node_1352", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n\nPerformance:\n Mass: 215.84 kg\n Factor of Safety: 1.18\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": 215.84490606613042, + "fos_buckling": 1.179515005992416, + "fos_yielding": 1.483946524059612, + "deflection": 0.005464709412530074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_1351", + "improvement_over_parent": null + }, + "node_1353": { + "node_id": "node_1353", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 243.67 kg\n Factor of Safety: 1.31\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": 243.67356492782574, + "fos_buckling": 1.3077681465569162, + "fos_yielding": 1.6742190074271928, + "deflection": 0.004848450131599012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1352", + "improvement_over_parent": null + }, + "node_1354": { + "node_id": "node_1354", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.94 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9368473012375, + "fos_buckling": 1.5216865754837363, + "fos_yielding": 2.0104612933079866, + "deflection": 0.0040446235864222795, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_1353", + "improvement_over_parent": null + }, + "node_1355": { + "node_id": "node_1355", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1354", + "improvement_over_parent": null + }, + "node_1356": { + "node_id": "node_1356", + "content": "INITIAL DESIGN (Trace 195)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 206.44 kg\n Factor of Safety: 0.75\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": 206.43755844478434, + "fos_buckling": 0.750164228249862, + "fos_yielding": 2.074970146276028, + "deflection": 0.007129825923429612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1357": { + "node_id": "node_1357", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n\nPerformance:\n Mass: 209.53 kg\n Factor of Safety: 0.75\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": 209.53273260240385, + "fos_buckling": 0.7498448478548668, + "fos_yielding": 2.074970146276028, + "deflection": 0.006217490464307178, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001889)" + }, + "parent_node_id": "node_1356", + "improvement_over_parent": null + }, + "node_1358": { + "node_id": "node_1358", + "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n\nPerformance:\n Mass: 220.23 kg\n Factor of Safety: 0.98\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": 220.23444204007365, + "fos_buckling": 0.9818336635198214, + "fos_yielding": 2.074970146276028, + "deflection": 0.0055840337810264895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.397)" + }, + "parent_node_id": "node_1357", + "improvement_over_parent": null + }, + "node_1359": { + "node_id": "node_1359", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n\nPerformance:\n Mass: 224.75 kg\n Factor of Safety: 0.98\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": 224.74617971442729, + "fos_buckling": 0.9818336635198214, + "fos_yielding": 2.782221717936719, + "deflection": 0.0055840337810264895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.572)" + }, + "parent_node_id": "node_1358", + "improvement_over_parent": null + }, + "node_1360": { + "node_id": "node_1360", + "content": "MODIFICATION: Increase 9 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 225.94 kg\n Factor of Safety: 0.98\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.93700346977056, + "fos_buckling": 0.9816729835991362, + "fos_yielding": 2.7696773628559876, + "deflection": 0.0055676203025703495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.414)" + }, + "parent_node_id": "node_1359", + "improvement_over_parent": null + }, + "node_1361": { + "node_id": "node_1361", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0072)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 249.42 kg\n Factor of Safety: 1.06\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.41760205852825, + "fos_buckling": 1.064182030473205, + "fos_yielding": 3.052475204990259, + "deflection": 0.005049919328350017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1360", + "improvement_over_parent": null + }, + "node_1362": { + "node_id": "node_1362", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0072)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 280.40 kg\n Factor of Safety: 1.40\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": 280.39614810760463, + "fos_buckling": 1.3956396260154658, + "fos_yielding": 2.971108517959569, + "deflection": 0.004161714944213663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1361", + "improvement_over_parent": null + }, + "node_1363": { + "node_id": "node_1363", + "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0072)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 288.56 kg\n Factor of Safety: 1.45\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": 288.5599300757775, + "fos_buckling": 1.4503906517075973, + "fos_yielding": 2.972794757320763, + "deflection": 0.004085590874757342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.504)" + }, + "parent_node_id": "node_1362", + "improvement_over_parent": null + }, + "node_1364": { + "node_id": "node_1364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1363", + "improvement_over_parent": null + }, + "node_1365": { + "node_id": "node_1365", + "content": "INITIAL DESIGN (Trace 196)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0021)]\n\nPerformance:\n Mass: 94.49 kg\n Factor of Safety: 0.44\n Max Deflection: 1.33e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.49038887983937, + "fos_buckling": 0.4358334931137582, + "fos_yielding": 0.8255509555296201, + "deflection": 0.013322023338216592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1366": { + "node_id": "node_1366", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n\nPerformance:\n Mass: 120.32 kg\n Factor of Safety: 0.55\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.32117965514485, + "fos_buckling": 0.5452071810180326, + "fos_yielding": 1.0510101261489804, + "deflection": 0.010479236863501266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1365", + "improvement_over_parent": null + }, + "node_1367": { + "node_id": "node_1367", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 151.14 kg\n Factor of Safety: 0.67\n Max Deflection: 8.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.13732699800477, + "fos_buckling": 0.670257341033782, + "fos_yielding": 1.3198589041604016, + "deflection": 0.008358919938411855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1366", + "improvement_over_parent": null + }, + "node_1368": { + "node_id": "node_1368", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 168.58 kg\n Factor of Safety: 0.74\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.57501246226445, + "fos_buckling": 0.7384125644272482, + "fos_yielding": 1.4719304008045067, + "deflection": 0.007502552474867629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1367", + "improvement_over_parent": null + }, + "node_1369": { + "node_id": "node_1369", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 190.39 kg\n Factor of Safety: 0.82\n Max Deflection: 6.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.3925311584846, + "fos_buckling": 0.821046184614992, + "fos_yielding": 1.6621369488685953, + "deflection": 0.006652005106727826, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1368", + "improvement_over_parent": null + }, + "node_1370": { + "node_id": "node_1370", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 230.29 kg\n Factor of Safety: 0.96\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.29076679637876, + "fos_buckling": 0.9646090243706885, + "fos_yielding": 2.0097975821177476, + "deflection": 0.0055134252038094725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1369", + "improvement_over_parent": null + }, + "node_1371": { + "node_id": "node_1371", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 257.51 kg\n Factor of Safety: 1.37\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.5100016272768, + "fos_buckling": 1.3695606022255842, + "fos_yielding": 1.7686197264650616, + "deflection": 0.004591720519223372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004534)" + }, + "parent_node_id": "node_1370", + "improvement_over_parent": null + }, + "node_1372": { + "node_id": "node_1372", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1366482238672, + "fos_buckling": 1.5225445005973066, + "fos_yielding": 2.0116952943195994, + "deflection": 0.00404199924436845, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.152)" + }, + "parent_node_id": "node_1371", + "improvement_over_parent": null + }, + "node_1373": { + "node_id": "node_1373", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1372", + "improvement_over_parent": null + }, + "node_1374": { + "node_id": "node_1374", + "content": "INITIAL DESIGN (Trace 197)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 184.26 kg\n Factor of Safety: 0.81\n Max Deflection: 9.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.25540725191718, + "fos_buckling": 0.8051974464022158, + "fos_yielding": 1.7215565018086032, + "deflection": 0.009149905451521894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1375": { + "node_id": "node_1375", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n\nPerformance:\n Mass: 188.18 kg\n Factor of Safety: 0.85\n Max Deflection: 7.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.17850864709882, + "fos_buckling": 0.8470207357837412, + "fos_yielding": 1.7215565018086032, + "deflection": 0.007256552037435063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002429)" + }, + "parent_node_id": "node_1374", + "improvement_over_parent": null + }, + "node_1376": { + "node_id": "node_1376", + "content": "MODIFICATION: Increase 1 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n\nPerformance:\n Mass: 194.27 kg\n Factor of Safety: 0.85\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": 194.2739068719874, + "fos_buckling": 0.8466653618000547, + "fos_yielding": 1.7215565018086032, + "deflection": 0.006722518203122581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.321)" + }, + "parent_node_id": "node_1375", + "improvement_over_parent": null + }, + "node_1377": { + "node_id": "node_1377", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 229.83 kg\n Factor of Safety: 0.98\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": 229.82794689160932, + "fos_buckling": 0.9752025374486762, + "fos_yielding": 2.035088330113421, + "deflection": 0.005694152318267207, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1376", + "improvement_over_parent": null + }, + "node_1378": { + "node_id": "node_1378", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 251.51 kg\n Factor of Safety: 1.37\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": 251.50629808710727, + "fos_buckling": 1.3658354866747655, + "fos_yielding": 1.7936290326924196, + "deflection": 0.004798844635283035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004277)" + }, + "parent_node_id": "node_1377", + "improvement_over_parent": null + }, + "node_1379": { + "node_id": "node_1379", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 260.84 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": 260.8402799033759, + "fos_buckling": 1.3840723876323473, + "fos_yielding": 1.7915168175700964, + "deflection": 0.004533710923448989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.484)" + }, + "parent_node_id": "node_1378", + "improvement_over_parent": null + }, + "node_1380": { + "node_id": "node_1380", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.59 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.59472712169946, + "fos_buckling": 1.5242801240226025, + "fos_yielding": 2.0149946542145676, + "deflection": 0.004035570937228956, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1379", + "improvement_over_parent": null + }, + "node_1381": { + "node_id": "node_1381", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1380", + "improvement_over_parent": null + }, + "node_1382": { + "node_id": "node_1382", + "content": "INITIAL DESIGN (Trace 198)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 143.38 kg\n Factor of Safety: 0.38\n Max Deflection: 1.20e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.37845292165719, + "fos_buckling": 0.3826018608641128, + "fos_yielding": 1.0881863084322183, + "deflection": 0.011966328866467068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1383": { + "node_id": "node_1383", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 174.13 kg\n Factor of Safety: 0.74\n Max Deflection: 7.22e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.13380648234352, + "fos_buckling": 0.7378130504331017, + "fos_yielding": 1.3815598191224132, + "deflection": 0.007219180449190194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004196)" + }, + "parent_node_id": "node_1382", + "improvement_over_parent": null + }, + "node_1384": { + "node_id": "node_1384", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 197.71 kg\n Factor of Safety: 0.82\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.71449803079025, + "fos_buckling": 0.8229406800641631, + "fos_yielding": 1.56741674317186, + "deflection": 0.006368786447426668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_1383", + "improvement_over_parent": null + }, + "node_1385": { + "node_id": "node_1385", + "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 203.86 kg\n Factor of Safety: 0.82\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": 203.86225053133938, + "fos_buckling": 0.822592664404504, + "fos_yielding": 1.5673181407780834, + "deflection": 0.006371384065725989, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.466)" + }, + "parent_node_id": "node_1384", + "improvement_over_parent": null + }, + "node_1386": { + "node_id": "node_1386", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 229.64 kg\n Factor of Safety: 1.24\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": 229.64230461725566, + "fos_buckling": 1.2437284555865962, + "fos_yielding": 1.5782396537669139, + "deflection": 0.005140585207947217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004129)" + }, + "parent_node_id": "node_1385", + "improvement_over_parent": null + }, + "node_1387": { + "node_id": "node_1387", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2384788005298, + "fos_buckling": 1.5228897314663425, + "fos_yielding": 2.012426536514942, + "deflection": 0.0040405986869412255, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1386", + "improvement_over_parent": null + }, + "node_1388": { + "node_id": "node_1388", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1387", + "improvement_over_parent": null + }, + "node_1389": { + "node_id": "node_1389", + "content": "INITIAL DESIGN (Trace 199)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 115.66 kg\n Factor of Safety: 0.36\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.66295957496776, + "fos_buckling": 0.3588855754928191, + "fos_yielding": 1.0718018295721203, + "deflection": 0.013897806265469064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1390": { + "node_id": "node_1390", + "content": "MODIFICATION: Increase 0 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 122.68 kg\n Factor of Safety: 0.36\n Max Deflection: 1.39e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.68419264956921, + "fos_buckling": 0.35871130006746055, + "fos_yielding": 1.0715253242382838, + "deflection": 0.01390361217788909, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.613)" + }, + "parent_node_id": "node_1389", + "improvement_over_parent": null + }, + "node_1391": { + "node_id": "node_1391", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 140.21 kg\n Factor of Safety: 0.40\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": 140.20968850057585, + "fos_buckling": 0.4040098644368599, + "fos_yielding": 1.2233738589332601, + "deflection": 0.012178793458680857, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1390", + "improvement_over_parent": null + }, + "node_1392": { + "node_id": "node_1392", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 162.27 kg\n Factor of Safety: 0.46\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": 162.26946883922253, + "fos_buckling": 0.4589385003743967, + "fos_yielding": 1.4140800494838572, + "deflection": 0.010537349401569423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_1391", + "improvement_over_parent": null + }, + "node_1393": { + "node_id": "node_1393", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n\nPerformance:\n Mass: 194.26 kg\n Factor of Safety: 0.84\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": 194.2563294911377, + "fos_buckling": 0.8354461696617586, + "fos_yielding": 1.6959793852853533, + "deflection": 0.0065211714516821674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004454)" + }, + "parent_node_id": "node_1392", + "improvement_over_parent": null + }, + "node_1394": { + "node_id": "node_1394", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 217.68 kg\n Factor of Safety: 0.92\n Max Deflection: 5.83e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.68141069874417, + "fos_buckling": 0.9203653744213497, + "fos_yielding": 1.9001306995924787, + "deflection": 0.005828045193293507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1393", + "improvement_over_parent": null + }, + "node_1395": { + "node_id": "node_1395", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 243.39 kg\n Factor of Safety: 1.31\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": 243.393033129381, + "fos_buckling": 1.306575929633363, + "fos_yielding": 1.672522207573631, + "deflection": 0.004853955857612035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004263)" + }, + "parent_node_id": "node_1394", + "improvement_over_parent": null + }, + "node_1396": { + "node_id": "node_1396", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2590850082384, + "fos_buckling": 1.5231090523143334, + "fos_yielding": 2.012918067963394, + "deflection": 0.004040251980444462, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1395", + "improvement_over_parent": null + }, + "node_1397": { + "node_id": "node_1397", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1396", + "improvement_over_parent": null + }, + "node_1398": { + "node_id": "node_1398", + "content": "INITIAL DESIGN (Trace 200)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 179.24 kg\n Factor of Safety: 0.75\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": 179.23682671426695, + "fos_buckling": 0.7492329338339546, + "fos_yielding": 1.172913860616629, + "deflection": 0.006637658730321729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1399": { + "node_id": "node_1399", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 179.94 kg\n Factor of Safety: 0.91\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.93839837815216, + "fos_buckling": 0.913557960865951, + "fos_yielding": 1.2439108542961839, + "deflection": 0.006567450690292232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.266)" + }, + "parent_node_id": "node_1398", + "improvement_over_parent": null + }, + "node_1400": { + "node_id": "node_1400", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 180.83 kg\n Factor of Safety: 1.01\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.8347817419985, + "fos_buckling": 1.010518123596036, + "fos_yielding": 1.2442461423756814, + "deflection": 0.006509405911459151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.274)" + }, + "parent_node_id": "node_1399", + "improvement_over_parent": null + }, + "node_1401": { + "node_id": "node_1401", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 206.00 kg\n Factor of Safety: 1.13\n Max Deflection: 5.72e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.99599465435017, + "fos_buckling": 1.132838184249785, + "fos_yielding": 1.4165647081716852, + "deflection": 0.005722700642247803, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_1400", + "improvement_over_parent": null + }, + "node_1402": { + "node_id": "node_1402", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 232.09 kg\n Factor of Safety: 1.26\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": 232.0912313216845, + "fos_buckling": 1.25504308224378, + "fos_yielding": 1.595073386611754, + "deflection": 0.005086981978125706, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1401", + "improvement_over_parent": null + }, + "node_1403": { + "node_id": "node_1403", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.19055663023215, + "fos_buckling": 1.522746562380664, + "fos_yielding": 2.012212270897031, + "deflection": 0.004041181251501012, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1402", + "improvement_over_parent": null + }, + "node_1404": { + "node_id": "node_1404", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1403", + "improvement_over_parent": null + }, + "node_1405": { + "node_id": "node_1405", + "content": "INITIAL DESIGN (Trace 201)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 166.96 kg\n Factor of Safety: 0.72\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.9576395281551, + "fos_buckling": 0.7223218348555158, + "fos_yielding": 1.5255892575110754, + "deflection": 0.009252230841252703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1406": { + "node_id": "node_1406", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 187.60 kg\n Factor of Safety: 0.72\n Max Deflection: 9.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.59981053636352, + "fos_buckling": 0.7192947597718028, + "fos_yielding": 1.5198047424645267, + "deflection": 0.009250918533403653, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003371)" + }, + "parent_node_id": "node_1405", + "improvement_over_parent": null + }, + "node_1407": { + "node_id": "node_1407", + "content": "MODIFICATION: Increase 1 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 191.90 kg\n Factor of Safety: 0.73\n Max Deflection: 8.80e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.9007671425589, + "fos_buckling": 0.7346319161283908, + "fos_yielding": 1.5339162678766742, + "deflection": 0.008795705379480125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.239)" + }, + "parent_node_id": "node_1406", + "improvement_over_parent": null + }, + "node_1408": { + "node_id": "node_1408", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n\nPerformance:\n Mass: 195.37 kg\n Factor of Safety: 1.08\n Max Deflection: 6.03e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.37470895301178, + "fos_buckling": 1.0816904163034406, + "fos_yielding": 1.3438259787678937, + "deflection": 0.006030054147802876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002134)" + }, + "parent_node_id": "node_1407", + "improvement_over_parent": null + }, + "node_1409": { + "node_id": "node_1409", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 233.94 kg\n Factor of Safety: 1.26\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": 233.94031492709072, + "fos_buckling": 1.2634644823962045, + "fos_yielding": 1.6076884543972434, + "deflection": 0.005047297042400087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_1408", + "improvement_over_parent": null + }, + "node_1410": { + "node_id": "node_1410", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.39 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3876928439161, + "fos_buckling": 1.523501237845891, + "fos_yielding": 2.0135244011002498, + "deflection": 0.004038496797230183, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_1409", + "improvement_over_parent": null + }, + "node_1411": { + "node_id": "node_1411", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1410", + "improvement_over_parent": null + }, + "node_1412": { + "node_id": "node_1412", + "content": "INITIAL DESIGN (Trace 202)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 132.71 kg\n Factor of Safety: 0.12\n Max Deflection: 8.37e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.7119931404395, + "fos_buckling": 0.1194149875535362, + "fos_yielding": 0.14066342140954693, + "deflection": 83698519863941.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1413": { + "node_id": "node_1413", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n\nPerformance:\n Mass: 162.37 kg\n Factor of Safety: 0.74\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": 162.37438116816529, + "fos_buckling": 0.7354247061374846, + "fos_yielding": 1.3708440900219356, + "deflection": 0.007917591926024403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004110)" + }, + "parent_node_id": "node_1412", + "improvement_over_parent": null + }, + "node_1414": { + "node_id": "node_1414", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 186.71 kg\n Factor of Safety: 0.83\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.70711379860234, + "fos_buckling": 0.8289768332095914, + "fos_yielding": 1.5743800455288113, + "deflection": 0.006894796135317435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1413", + "improvement_over_parent": null + }, + "node_1415": { + "node_id": "node_1415", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 189.98 kg\n Factor of Safety: 0.83\n Max Deflection: 6.78e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.97948105770712, + "fos_buckling": 0.8287900510599767, + "fos_yielding": 1.5584841355841281, + "deflection": 0.0067798608381187415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.297)" + }, + "parent_node_id": "node_1414", + "improvement_over_parent": null + }, + "node_1416": { + "node_id": "node_1416", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0071)]\n\nPerformance:\n Mass: 205.06 kg\n Factor of Safety: 0.97\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.055549032794, + "fos_buckling": 0.968970245240014, + "fos_yielding": 1.5582305531092588, + "deflection": 0.006160842909739622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.493)" + }, + "parent_node_id": "node_1415", + "improvement_over_parent": null + }, + "node_1417": { + "node_id": "node_1417", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0092)]\n\nPerformance:\n Mass: 259.58 kg\n Factor of Safety: 1.20\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": 259.5828612331163, + "fos_buckling": 1.2013884109360067, + "fos_yielding": 1.9735048584509682, + "deflection": 0.004880477435094762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_1416", + "improvement_over_parent": null + }, + "node_1418": { + "node_id": "node_1418", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0092)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 292.50 kg\n Factor of Safety: 1.17\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.4953978647333, + "fos_buckling": 1.1746548873327403, + "fos_yielding": 1.9832367283263732, + "deflection": 0.004192756927492773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1417", + "improvement_over_parent": null + }, + "node_1419": { + "node_id": "node_1419", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0092)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 297.92 kg\n Factor of Safety: 1.21\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.9204645340256, + "fos_buckling": 1.21474450375697, + "fos_yielding": 1.9654186330526418, + "deflection": 0.004117147577836245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.314)" + }, + "parent_node_id": "node_1418", + "improvement_over_parent": null + }, + "node_1420": { + "node_id": "node_1420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1419", + "improvement_over_parent": null + }, + "node_1421": { + "node_id": "node_1421", + "content": "INITIAL DESIGN (Trace 203)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n\nPerformance:\n Mass: 129.14 kg\n Factor of Safety: 1.01\n Max Deflection: 7.91e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.13710283439363, + "fos_buckling": 1.007770087472561, + "fos_yielding": 1.1775636923724162, + "deflection": 7914015719127.082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1422": { + "node_id": "node_1422", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 147.61 kg\n Factor of Safety: 0.44\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": 147.6082422512483, + "fos_buckling": 0.4443226369982843, + "fos_yielding": 1.2445808662497708, + "deflection": 0.012192034726848107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003478)" + }, + "parent_node_id": "node_1421", + "improvement_over_parent": null + }, + "node_1423": { + "node_id": "node_1423", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 170.06 kg\n Factor of Safety: 0.50\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.0600074637519, + "fos_buckling": 0.5013667591023553, + "fos_yielding": 1.4363652495196513, + "deflection": 0.010591837874094408, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_1422", + "improvement_over_parent": null + }, + "node_1424": { + "node_id": "node_1424", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 207.31 kg\n Factor of Safety: 0.59\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.3061447074739, + "fos_buckling": 0.5899829130291786, + "fos_yielding": 1.756279585609196, + "deflection": 0.008701392182285899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_1423", + "improvement_over_parent": null + }, + "node_1425": { + "node_id": "node_1425", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0081)]\n\nPerformance:\n Mass: 220.85 kg\n Factor of Safety: 0.73\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": 220.85280117543275, + "fos_buckling": 0.7339953254999345, + "fos_yielding": 1.756279585609197, + "deflection": 0.008083298607117281, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.613)" + }, + "parent_node_id": "node_1424", + "improvement_over_parent": null + }, + "node_1426": { + "node_id": "node_1426", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 245.23 kg\n Factor of Safety: 0.81\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.23427313626485, + "fos_buckling": 0.811738445118351, + "fos_yielding": 1.5335374586101016, + "deflection": 0.00702543637624611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1425", + "improvement_over_parent": null + }, + "node_1427": { + "node_id": "node_1427", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 254.27 kg\n Factor of Safety: 0.81\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.2732797673475, + "fos_buckling": 0.8112354606299746, + "fos_yielding": 1.5207488752142244, + "deflection": 0.006962201463306804, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.332)" + }, + "parent_node_id": "node_1426", + "improvement_over_parent": null + }, + "node_1428": { + "node_id": "node_1428", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0081)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 297.47 kg\n Factor of Safety: 1.16\n Max Deflection: 4.31e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 297.47133770479974, + "fos_buckling": 1.158255084745087, + "fos_yielding": 1.5010185706056982, + "deflection": 0.004306445964500418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1427", + "improvement_over_parent": null + }, + "node_1429": { + "node_id": "node_1429", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1428", + "improvement_over_parent": null + }, + "node_1430": { + "node_id": "node_1430", + "content": "INITIAL DESIGN (Trace 204)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 128.14 kg\n Factor of Safety: 0.48\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": 128.14125225524896, + "fos_buckling": 0.4758463009020984, + "fos_yielding": 1.227393784706757, + "deflection": 0.012523697224984852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1431": { + "node_id": "node_1431", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 155.49 kg\n Factor of Safety: 0.57\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.49201155867493, + "fos_buckling": 0.5696140443554725, + "fos_yielding": 1.4880809540671358, + "deflection": 0.010323429297884283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1430", + "improvement_over_parent": null + }, + "node_1432": { + "node_id": "node_1432", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 188.26 kg\n Factor of Safety: 0.68\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.25525483933532, + "fos_buckling": 0.6783292461103911, + "fos_yielding": 1.7997001228821117, + "deflection": 0.00852906053960018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1431", + "improvement_over_parent": null + }, + "node_1433": { + "node_id": "node_1433", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 192.36 kg\n Factor of Safety: 0.68\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.35590685781986, + "fos_buckling": 0.6779462606694039, + "fos_yielding": 1.7997001228821117, + "deflection": 0.0069713659721153546, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002547)" + }, + "parent_node_id": "node_1432", + "improvement_over_parent": null + }, + "node_1434": { + "node_id": "node_1434", + "content": "MODIFICATION: Increase 9 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0035)]\n\nPerformance:\n Mass: 193.72 kg\n Factor of Safety: 0.68\n Max Deflection: 6.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.7233339956302, + "fos_buckling": 0.6778186442629321, + "fos_yielding": 1.7997001228821117, + "deflection": 0.006952039962707845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.368)" + }, + "parent_node_id": "node_1433", + "improvement_over_parent": null + }, + "node_1435": { + "node_id": "node_1435", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0035)]\n\nPerformance:\n Mass: 198.59 kg\n Factor of Safety: 0.68\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.591229429, + "fos_buckling": 0.6775916126609998, + "fos_yielding": 1.7997001228821117, + "deflection": 0.006808780741955364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.239)" + }, + "parent_node_id": "node_1434", + "improvement_over_parent": null + }, + "node_1436": { + "node_id": "node_1436", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0035)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 222.95 kg\n Factor of Safety: 1.04\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.9493918605699, + "fos_buckling": 1.0417408694505563, + "fos_yielding": 1.551201130908631, + "deflection": 0.005337819457941433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004022)" + }, + "parent_node_id": "node_1435", + "improvement_over_parent": null + }, + "node_1437": { + "node_id": "node_1437", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0045)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 283.81 kg\n Factor of Safety: 1.29\n Max Deflection: 4.21e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.810300498122, + "fos_buckling": 1.2897327915923378, + "fos_yielding": 1.9717966644936775, + "deflection": 0.00420695913665336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1436", + "improvement_over_parent": null + }, + "node_1438": { + "node_id": "node_1438", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1437", + "improvement_over_parent": null + }, + "node_1439": { + "node_id": "node_1439", + "content": "INITIAL DESIGN (Trace 205)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 227.47 kg\n Factor of Safety: 0.97\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": 227.4693768871204, + "fos_buckling": 0.9680187590999142, + "fos_yielding": 1.2361812736226974, + "deflection": 0.00535511328662517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1440": { + "node_id": "node_1440", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 228.68 kg\n Factor of Safety: 1.07\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": 228.67664896650734, + "fos_buckling": 1.0706194388848413, + "fos_yielding": 1.22745831217761, + "deflection": 0.005223782606516986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.565)" + }, + "parent_node_id": "node_1439", + "improvement_over_parent": null + }, + "node_1441": { + "node_id": "node_1441", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 290.18 kg\n Factor of Safety: 1.33\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.18358926584017, + "fos_buckling": 1.3253646681461646, + "fos_yielding": 1.56318999981107, + "deflection": 0.004129793131575029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_1440", + "improvement_over_parent": null + }, + "node_1442": { + "node_id": "node_1442", + "content": "MODIFICATION: Increase 5 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 290.98 kg\n Factor of Safety: 1.32\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": 290.98004656972256, + "fos_buckling": 1.3224734732886554, + "fos_yielding": 1.5597800048131765, + "deflection": 0.004098013999006193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.198)" + }, + "parent_node_id": "node_1441", + "improvement_over_parent": null + }, + "node_1443": { + "node_id": "node_1443", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.296676062684, + "fos_buckling": 1.5232489312499808, + "fos_yielding": 2.014132182264969, + "deflection": 0.004039713616694359, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.332)" + }, + "parent_node_id": "node_1442", + "improvement_over_parent": null + }, + "node_1444": { + "node_id": "node_1444", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1443", + "improvement_over_parent": null + }, + "node_1445": { + "node_id": "node_1445", + "content": "INITIAL DESIGN (Trace 206)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 195.87 kg\n Factor of Safety: 0.43\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.87487929361419, + "fos_buckling": 0.4315639529623651, + "fos_yielding": 0.9562285380157085, + "deflection": 0.009700792616807773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1446": { + "node_id": "node_1446", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 197.75 kg\n Factor of Safety: 0.43\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.75205268883403, + "fos_buckling": 0.431563952962365, + "fos_yielding": 1.252801107757415, + "deflection": 0.009428736585849248, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.333)" + }, + "parent_node_id": "node_1445", + "improvement_over_parent": null + }, + "node_1447": { + "node_id": "node_1447", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.55 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.5501073112367, + "fos_buckling": 0.5214147897705558, + "fos_yielding": 1.5720912141786856, + "deflection": 0.0075232534609870495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1446", + "improvement_over_parent": null + }, + "node_1448": { + "node_id": "node_1448", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1320384791826, + "fos_buckling": 1.522800238621861, + "fos_yielding": 2.0118067491796197, + "deflection": 0.004041925513304414, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1447", + "improvement_over_parent": null + }, + "node_1449": { + "node_id": "node_1449", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1448", + "improvement_over_parent": null + }, + "node_1450": { + "node_id": "node_1450", + "content": "INITIAL DESIGN (Trace 207)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0015)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0013)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0010)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0009)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0012)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0016)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0014)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0017)]\n\nPerformance:\n Mass: 82.69 kg\n Factor of Safety: 0.49\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 82.68863157985058, + "fos_buckling": 0.49089661239987975, + "fos_yielding": 0.5702065326846376, + "deflection": 0.014154192254211821, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1451": { + "node_id": "node_1451", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0021)]\n\nPerformance:\n Mass: 105.97 kg\n Factor of Safety: 0.62\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 105.97162107169558, + "fos_buckling": 0.6203184684573253, + "fos_yielding": 0.7303771590180221, + "deflection": 0.011059454664087571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_1450", + "improvement_over_parent": null + }, + "node_1452": { + "node_id": "node_1452", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 120.62 kg\n Factor of Safety: 0.70\n Max Deflection: 9.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.61900589826523, + "fos_buckling": 0.6997697388705636, + "fos_yielding": 0.8310544640246902, + "deflection": 0.009724780542954581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1451", + "improvement_over_parent": null + }, + "node_1453": { + "node_id": "node_1453", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 153.17 kg\n Factor of Safety: 0.87\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.16978614405747, + "fos_buckling": 0.8709126138211856, + "fos_yielding": 1.0545503294976433, + "deflection": 0.007672706518933423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_1452", + "improvement_over_parent": null + }, + "node_1454": { + "node_id": "node_1454", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 195.38 kg\n Factor of Safety: 1.08\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": 195.38486547608372, + "fos_buckling": 1.0817871411283968, + "fos_yielding": 1.3439127360497989, + "deflection": 0.0060297576255660705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_1453", + "improvement_over_parent": null + }, + "node_1455": { + "node_id": "node_1455", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 227.29 kg\n Factor of Safety: 1.23\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.29311492616745, + "fos_buckling": 1.232923600111572, + "fos_yielding": 1.5622614899641052, + "deflection": 0.005192910269061058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1454", + "improvement_over_parent": null + }, + "node_1456": { + "node_id": "node_1456", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3467801420425, + "fos_buckling": 1.523392961860406, + "fos_yielding": 2.0132706297002576, + "deflection": 0.0040390591236409805, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_1455", + "improvement_over_parent": null + }, + "node_1457": { + "node_id": "node_1457", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1456", + "improvement_over_parent": null + }, + "node_1458": { + "node_id": "node_1458", + "content": "INITIAL DESIGN (Trace 208)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\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_1459": { + "node_id": "node_1459", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n\nPerformance:\n Mass: 197.32 kg\n Factor of Safety: 0.82\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.32360617535736, + "fos_buckling": 0.8179433018995073, + "fos_yielding": 1.757410933172884, + "deflection": 0.007643367970324833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004041)" + }, + "parent_node_id": "node_1458", + "improvement_over_parent": null + }, + "node_1460": { + "node_id": "node_1460", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 257.01 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": 257.0119367006329, + "fos_buckling": 1.0219477472376615, + "fos_yielding": 2.287875324510679, + "deflection": 0.005881144580123231, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1459", + "improvement_over_parent": null + }, + "node_1461": { + "node_id": "node_1461", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 287.99 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.99048274970926, + "fos_buckling": 1.0365663930170628, + "fos_yielding": 2.2957110557171716, + "deflection": 0.005879846277145187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1460", + "improvement_over_parent": null + }, + "node_1462": { + "node_id": "node_1462", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20431278352333, + "fos_buckling": 1.5227852553563677, + "fos_yielding": 2.0122666532073987, + "deflection": 0.004041011129820236, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1461", + "improvement_over_parent": null + }, + "node_1463": { + "node_id": "node_1463", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 209)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1465": { + "node_id": "node_1465", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 249.87 kg\n Factor of Safety: 0.81\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": 249.8655619655146, + "fos_buckling": 0.8128207274720121, + "fos_yielding": 2.2649988229857176, + "deflection": 0.006336775901608119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1464", + "improvement_over_parent": null + }, + "node_1466": { + "node_id": "node_1466", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 255.08 kg\n Factor of Safety: 0.81\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.0793919993287, + "fos_buckling": 0.8122397368026681, + "fos_yielding": 1.9985161036946908, + "deflection": 0.005474893054756245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1465", + "improvement_over_parent": null + }, + "node_1467": { + "node_id": "node_1467", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0069)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 263.78 kg\n Factor of Safety: 0.81\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.7770847382819, + "fos_buckling": 0.8117557684454323, + "fos_yielding": 1.9805238523647382, + "deflection": 0.005415278657845099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.319)" + }, + "parent_node_id": "node_1466", + "improvement_over_parent": null + }, + "node_1468": { + "node_id": "node_1468", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0069)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 289.67 kg\n Factor of Safety: 1.14\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": 289.6745218806717, + "fos_buckling": 1.1393529162396558, + "fos_yielding": 1.8597219350875043, + "deflection": 0.004254262809149087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1467", + "improvement_over_parent": null + }, + "node_1469": { + "node_id": "node_1469", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0074)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0069)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 294.89 kg\n Factor of Safety: 1.14\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": 294.8886059662357, + "fos_buckling": 1.140576200654074, + "fos_yielding": 1.8617186551782836, + "deflection": 0.004181836002180806, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.613)" + }, + "parent_node_id": "node_1468", + "improvement_over_parent": null + }, + "node_1470": { + "node_id": "node_1470", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1469", + "improvement_over_parent": null + }, + "node_1471": { + "node_id": "node_1471", + "content": "INITIAL DESIGN (Trace 210)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 177.30 kg\n Factor of Safety: 0.99\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": 177.30057973157562, + "fos_buckling": 0.9929788315087196, + "fos_yielding": 1.2200219155408358, + "deflection": 0.006637781672099422, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1472": { + "node_id": "node_1472", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 201.18 kg\n Factor of Safety: 1.11\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": 201.17594510739676, + "fos_buckling": 1.1097434619494813, + "fos_yielding": 1.383564563617813, + "deflection": 0.0058581593034621555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1471", + "improvement_over_parent": null + }, + "node_1473": { + "node_id": "node_1473", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 239.13 kg\n Factor of Safety: 1.29\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": 239.12845342217972, + "fos_buckling": 1.2871850768008202, + "fos_yielding": 1.643171040850954, + "deflection": 0.004939290198737795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1472", + "improvement_over_parent": null + }, + "node_1474": { + "node_id": "node_1474", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1385582178138, + "fos_buckling": 1.522524510970546, + "fos_yielding": 2.011851015614988, + "deflection": 0.004041879406404175, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1473", + "improvement_over_parent": null + }, + "node_1475": { + "node_id": "node_1475", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1474", + "improvement_over_parent": null + }, + "node_1476": { + "node_id": "node_1476", + "content": "INITIAL DESIGN (Trace 211)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\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_1477": { + "node_id": "node_1477", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n\nPerformance:\n Mass: 165.70 kg\n Factor of Safety: 0.75\n Max Deflection: 8.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.69838081827163, + "fos_buckling": 0.74998852700942, + "fos_yielding": 1.6075189363203168, + "deflection": 0.00839728924686041, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003421)" + }, + "parent_node_id": "node_1476", + "improvement_over_parent": null + }, + "node_1478": { + "node_id": "node_1478", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n\nPerformance:\n Mass: 188.81 kg\n Factor of Safety: 0.80\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.81019504608463, + "fos_buckling": 0.7975599553876674, + "fos_yielding": 1.6075189363203164, + "deflection": 0.006875203807668242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003674)" + }, + "parent_node_id": "node_1477", + "improvement_over_parent": null + }, + "node_1479": { + "node_id": "node_1479", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 224.88 kg\n Factor of Safety: 0.93\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.87588061393546, + "fos_buckling": 0.9258985379714539, + "fos_yielding": 1.9139258715867296, + "deflection": 0.0057856482606544555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1478", + "improvement_over_parent": null + }, + "node_1480": { + "node_id": "node_1480", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 245.28 kg\n Factor of Safety: 1.32\n Max Deflection: 4.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.28238789101988, + "fos_buckling": 1.3150627798643615, + "fos_yielding": 1.6851463261831128, + "deflection": 0.004817144260281148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004006)" + }, + "parent_node_id": "node_1479", + "improvement_over_parent": null + }, + "node_1481": { + "node_id": "node_1481", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.08 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0790151803542, + "fos_buckling": 1.5223311158455377, + "fos_yielding": 2.0113536480603043, + "deflection": 0.004042732290447413, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_1480", + "improvement_over_parent": null + }, + "node_1482": { + "node_id": "node_1482", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 212)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 104.43 kg\n Factor of Safety: 0.38\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": 104.42678120570054, + "fos_buckling": 0.37501788788545004, + "fos_yielding": 0.9282325380700555, + "deflection": 20020310323648.086, + "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 all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 124.78 kg\n Factor of Safety: 0.24\n Max Deflection: 6.15e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.78238594244904, + "fos_buckling": 0.23522832055074522, + "fos_yielding": 0.7968372291241309, + "deflection": 61487499082611.2, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_1483", + "improvement_over_parent": null + }, + "node_1485": { + "node_id": "node_1485", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 158.08 kg\n Factor of Safety: 0.26\n Max Deflection: 3.04e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.080984399513, + "fos_buckling": 0.2626930033086679, + "fos_yielding": 0.9648962343203118, + "deflection": 30444650804330.977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_1484", + "improvement_over_parent": null + }, + "node_1486": { + "node_id": "node_1486", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 180.47 kg\n Factor of Safety: 0.15\n Max Deflection: 4.57e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.4663132302357, + "fos_buckling": 0.14721474846699842, + "fos_yielding": 0.7654923338336598, + "deflection": 45663195985594.805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1485", + "improvement_over_parent": null + }, + "node_1487": { + "node_id": "node_1487", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 184.91 kg\n Factor of Safety: 0.85\n Max Deflection: 7.95e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.9066084123387, + "fos_buckling": 0.8529621304348328, + "fos_yielding": 2.9290126418182796, + "deflection": 79523784787722.55, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002775)" + }, + "parent_node_id": "node_1486", + "improvement_over_parent": null + }, + "node_1488": { + "node_id": "node_1488", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 217.23 kg\n Factor of Safety: 0.12\n Max Deflection: 5.38e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.2259518595198, + "fos_buckling": 0.11977055399058174, + "fos_yielding": 0.28132684281909387, + "deflection": 53827041685437.76, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1487", + "improvement_over_parent": null + }, + "node_1489": { + "node_id": "node_1489", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 260.42 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.42400979697203, + "fos_buckling": 1.0071789575149106, + "fos_yielding": 1.9996298197036628, + "deflection": 0.005005347852895221, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1488", + "improvement_over_parent": null + }, + "node_1490": { + "node_id": "node_1490", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.34 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.33654642858903, + "fos_buckling": 1.5234826712298406, + "fos_yielding": 2.0134275539479316, + "deflection": 0.004039163119300899, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1489", + "improvement_over_parent": null + }, + "node_1491": { + "node_id": "node_1491", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 213)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 174.13 kg\n Factor of Safety: 0.88\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": 174.12729523855452, + "fos_buckling": 0.8834096273574782, + "fos_yielding": 1.2295086739593348, + "deflection": 0.006801911588688146, + "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 all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 201.34 kg\n Factor of Safety: 1.01\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.3391223201703, + "fos_buckling": 1.0073247031682162, + "fos_yielding": 1.4204767963543616, + "deflection": 0.005891440190171391, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_1492", + "improvement_over_parent": null + }, + "node_1494": { + "node_id": "node_1494", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 206.43 kg\n Factor of Safety: 1.13\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.431710487221, + "fos_buckling": 1.1349444308898056, + "fos_yielding": 1.41959111794091, + "deflection": 0.005710781003847274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.214)" + }, + "parent_node_id": "node_1493", + "improvement_over_parent": null + }, + "node_1495": { + "node_id": "node_1495", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 235.43 kg\n Factor of Safety: 1.27\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": 235.4330025163156, + "fos_buckling": 1.2703804427646967, + "fos_yielding": 1.6179678581465546, + "deflection": 0.005015763035757473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1494", + "improvement_over_parent": null + }, + "node_1496": { + "node_id": "node_1496", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.54 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5382679042512, + "fos_buckling": 1.5242288472581969, + "fos_yielding": 2.0146433839226114, + "deflection": 0.004036485327170116, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_1495", + "improvement_over_parent": null + }, + "node_1497": { + "node_id": "node_1497", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1496", + "improvement_over_parent": null + }, + "node_1498": { + "node_id": "node_1498", + "content": "INITIAL DESIGN (Trace 214)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 273.20 kg\n Factor of Safety: 1.42\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.20307043699836, + "fos_buckling": 1.4200844893818716, + "fos_yielding": 1.9848097588758467, + "deflection": 0.004337575457805819, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1499": { + "node_id": "node_1499", + "content": "MODIFICATION: Increase 8 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 278.58 kg\n Factor of Safety: 1.47\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.5803274077732, + "fos_buckling": 1.4711654641460254, + "fos_yielding": 1.98566321797259, + "deflection": 0.0042682785815625545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.280)" + }, + "parent_node_id": "node_1498", + "improvement_over_parent": null + }, + "node_1500": { + "node_id": "node_1500", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.28 kg\n Factor of Safety: 1.47\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": 286.28057171023295, + "fos_buckling": 1.474113596732671, + "fos_yielding": 2.011561368070039, + "deflection": 0.004106472323958898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.309)" + }, + "parent_node_id": "node_1499", + "improvement_over_parent": null + }, + "node_1501": { + "node_id": "node_1501", + "content": "MODIFICATION: Increase 8 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1914745661871, + "fos_buckling": 1.5230082791375683, + "fos_yielding": 2.012397152372261, + "deflection": 0.004041114306876371, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.292)" + }, + "parent_node_id": "node_1500", + "improvement_over_parent": null + }, + "node_1502": { + "node_id": "node_1502", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1501", + "improvement_over_parent": null + }, + "node_1503": { + "node_id": "node_1503", + "content": "INITIAL DESIGN (Trace 215)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 166.89 kg\n Factor of Safety: 0.39\n Max Deflection: 2.96e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.8927169925853, + "fos_buckling": 0.39330236155211107, + "fos_yielding": 1.2163205562270685, + "deflection": 0.029614527440998614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1504": { + "node_id": "node_1504", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 209.63 kg\n Factor of Safety: 0.48\n Max Deflection: 2.36e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.62562499806606, + "fos_buckling": 0.4787884527604715, + "fos_yielding": 1.5381875878324716, + "deflection": 0.023589365035950827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1503", + "improvement_over_parent": null + }, + "node_1505": { + "node_id": "node_1505", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 214.25 kg\n Factor of Safety: 0.53\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.25462111790526, + "fos_buckling": 0.5342545838425363, + "fos_yielding": 1.690472089263319, + "deflection": 0.008175279996999647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002903)" + }, + "parent_node_id": "node_1504", + "improvement_over_parent": null + }, + "node_1506": { + "node_id": "node_1506", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 241.43 kg\n Factor of Safety: 0.59\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.4262348777522, + "fos_buckling": 0.5888434288270473, + "fos_yielding": 1.9014901587110926, + "deflection": 0.0072678049425905665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_1505", + "improvement_over_parent": null + }, + "node_1507": { + "node_id": "node_1507", + "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 250.08 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.08108811066123, + "fos_buckling": 0.5884939095247032, + "fos_yielding": 1.9008894500551468, + "deflection": 0.007192771333409243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.603)" + }, + "parent_node_id": "node_1506", + "improvement_over_parent": null + }, + "node_1508": { + "node_id": "node_1508", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.28 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.27914604811343, + "fos_buckling": 1.5231404946931322, + "fos_yielding": 2.012812406286189, + "deflection": 0.004040024635877237, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1507", + "improvement_over_parent": null + }, + "node_1509": { + "node_id": "node_1509", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1508", + "improvement_over_parent": null + }, + "node_1510": { + "node_id": "node_1510", + "content": "INITIAL DESIGN (Trace 216)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 175.56 kg\n Factor of Safety: 0.96\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": 175.559612067303, + "fos_buckling": 0.9592192499516959, + "fos_yielding": 2.288071782940979, + "deflection": 18329102986606.477, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1511": { + "node_id": "node_1511", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 206.54 kg\n Factor of Safety: 0.24\n Max Deflection: 2.92e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.53815811637935, + "fos_buckling": 0.23955304206947195, + "fos_yielding": 0.5626536856381877, + "deflection": 29153110354616.125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1510", + "improvement_over_parent": null + }, + "node_1512": { + "node_id": "node_1512", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 212.21 kg\n Factor of Safety: 1.92\n Max Deflection: 1.26e+13 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 212.21044798556912, + "fos_buckling": 1.9162102664778955, + "fos_yielding": 2.354430889697476, + "deflection": 12551583902340.42, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.220)" + }, + "parent_node_id": "node_1511", + "improvement_over_parent": null + }, + "node_1513": { + "node_id": "node_1513", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n\nPerformance:\n Mass: 245.20 kg\n Factor of Safety: 0.80\n Max Deflection: 5.59e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.2032349488498, + "fos_buckling": 0.8028488863021899, + "fos_yielding": 1.9841319954379482, + "deflection": 0.005592427231175358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004604)" + }, + "parent_node_id": "node_1512", + "improvement_over_parent": null + }, + "node_1514": { + "node_id": "node_1514", + "content": "MODIFICATION: Increase 7 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n\nPerformance:\n Mass: 258.48 kg\n Factor of Safety: 0.80\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.4762998746984, + "fos_buckling": 0.8021184765066046, + "fos_yielding": 2.0086837955008905, + "deflection": 0.005445464991828268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.339)" + }, + "parent_node_id": "node_1513", + "improvement_over_parent": null + }, + "node_1515": { + "node_id": "node_1515", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 291.39 kg\n Factor of Safety: 1.30\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": 291.3888365063154, + "fos_buckling": 1.2959174719627662, + "fos_yielding": 2.0247214126457505, + "deflection": 0.004170009194421594, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1514", + "improvement_over_parent": null + }, + "node_1516": { + "node_id": "node_1516", + "content": "MODIFICATION: Increase 1 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 296.30 kg\n Factor of Safety: 1.30\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": 296.30223588615326, + "fos_buckling": 1.297863722424046, + "fos_yielding": 2.042215821605497, + "deflection": 0.004063872305162459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.179)" + }, + "parent_node_id": "node_1515", + "improvement_over_parent": null + }, + "node_1517": { + "node_id": "node_1517", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1516", + "improvement_over_parent": null + }, + "node_1518": { + "node_id": "node_1518", + "content": "INITIAL DESIGN (Trace 217)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 162.14 kg\n Factor of Safety: 0.98\n Max Deflection: 8.01e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.13741128538896, + "fos_buckling": 0.9780298548691045, + "fos_yielding": 1.6535764607045207, + "deflection": 8007768313474.33, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1519": { + "node_id": "node_1519", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 201.60 kg\n Factor of Safety: 0.91\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.60400305860165, + "fos_buckling": 0.9136635234470681, + "fos_yielding": 2.026341419436148, + "deflection": 0.007079840178509277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005484)" + }, + "parent_node_id": "node_1518", + "improvement_over_parent": null + }, + "node_1520": { + "node_id": "node_1520", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 207.71 kg\n Factor of Safety: 0.91\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.71286162809372, + "fos_buckling": 0.9132796560410146, + "fos_yielding": 2.026341419436148, + "deflection": 0.006684362667037132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.276)" + }, + "parent_node_id": "node_1519", + "improvement_over_parent": null + }, + "node_1521": { + "node_id": "node_1521", + "content": "MODIFICATION: Increase 7 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 215.09 kg\n Factor of Safety: 0.91\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.09472769644634, + "fos_buckling": 0.9128162257752558, + "fos_yielding": 2.025411971104612, + "deflection": 0.006688700223089883, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.399)" + }, + "parent_node_id": "node_1520", + "improvement_over_parent": null + }, + "node_1522": { + "node_id": "node_1522", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 243.09 kg\n Factor of Safety: 1.01\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.0865614262579, + "fos_buckling": 1.0087633047737725, + "fos_yielding": 2.2883247389509704, + "deflection": 0.0059311147629122355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1521", + "improvement_over_parent": null + }, + "node_1523": { + "node_id": "node_1523", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 268.98 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.9839985686477, + "fos_buckling": 1.0725251847143826, + "fos_yielding": 2.28832473895097, + "deflection": 0.004850237258032919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1522", + "improvement_over_parent": null + }, + "node_1524": { + "node_id": "node_1524", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3654705294798, + "fos_buckling": 1.5234015356718444, + "fos_yielding": 2.0135173176827292, + "deflection": 0.004038593761947845, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1523", + "improvement_over_parent": null + }, + "node_1525": { + "node_id": "node_1525", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1524", + "improvement_over_parent": null + }, + "node_1526": { + "node_id": "node_1526", + "content": "INITIAL DESIGN (Trace 218)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 254.79 kg\n Factor of Safety: 1.01\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.79089902226602, + "fos_buckling": 1.007882807409946, + "fos_yielding": 2.2660198281704313, + "deflection": 0.0062540650630939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1527": { + "node_id": "node_1527", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 258.82 kg\n Factor of Safety: 1.01\n Max Deflection: 5.40e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.82248000640004, + "fos_buckling": 1.0073257475303898, + "fos_yielding": 2.0022246578053102, + "deflection": 0.005401810698326668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002501)" + }, + "parent_node_id": "node_1526", + "improvement_over_parent": null + }, + "node_1528": { + "node_id": "node_1528", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 284.72 kg\n Factor of Safety: 1.43\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.7199171487898, + "fos_buckling": 1.4294417506029218, + "fos_yielding": 2.021687852648076, + "deflection": 0.004247997787261698, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1527", + "improvement_over_parent": null + }, + "node_1529": { + "node_id": "node_1529", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.05 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": 292.0538653933277, + "fos_buckling": 1.5001060721783643, + "fos_yielding": 2.0197543999631478, + "deflection": 0.004093614319467668, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.302)" + }, + "parent_node_id": "node_1528", + "improvement_over_parent": null + }, + "node_1530": { + "node_id": "node_1530", + "content": "MODIFICATION: Increase 5 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0082)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 304.33 kg\n Factor of Safety: 1.51\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": 304.3280459097344, + "fos_buckling": 1.507352197666137, + "fos_yielding": 2.017734353399353, + "deflection": 0.003936623695185942, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.323)" + }, + "parent_node_id": "node_1529", + "improvement_over_parent": null + }, + "node_1531": { + "node_id": "node_1531", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1530", + "improvement_over_parent": null + }, + "node_1532": { + "node_id": "node_1532", + "content": "INITIAL DESIGN (Trace 219)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 136.48 kg\n Factor of Safety: 0.66\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": 136.4754316758374, + "fos_buckling": 0.6597337203065216, + "fos_yielding": 1.3889360502024084, + "deflection": 0.010705165067215394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1533": { + "node_id": "node_1533", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 159.10 kg\n Factor of Safety: 0.75\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.1004729680908, + "fos_buckling": 0.754744910146431, + "fos_yielding": 1.618253289219429, + "deflection": 0.009192559823903672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1532", + "improvement_over_parent": null + }, + "node_1534": { + "node_id": "node_1534", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 194.66 kg\n Factor of Safety: 0.90\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": 194.65664222050893, + "fos_buckling": 0.8959337470350079, + "fos_yielding": 1.978045982420406, + "deflection": 0.007525657796366792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1533", + "improvement_over_parent": null + }, + "node_1535": { + "node_id": "node_1535", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 225.24 kg\n Factor of Safety: 1.01\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": 225.24454269419934, + "fos_buckling": 1.009505377575008, + "fos_yielding": 2.2869626683233677, + "deflection": 0.006512509900659924, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1534", + "improvement_over_parent": null + }, + "node_1536": { + "node_id": "node_1536", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 249.63 kg\n Factor of Safety: 1.01\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.62601465503144, + "fos_buckling": 1.0078172952387883, + "fos_yielding": 1.9611058619587218, + "deflection": 0.0052383782341679595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1535", + "improvement_over_parent": null + }, + "node_1537": { + "node_id": "node_1537", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 282.54 kg\n Factor of Safety: 1.50\n Max Deflection: 4.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.53855128664844, + "fos_buckling": 1.4995908539231608, + "fos_yielding": 1.9731940043433198, + "deflection": 0.004287272110604764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1536", + "improvement_over_parent": null + }, + "node_1538": { + "node_id": "node_1538", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1924510337778, + "fos_buckling": 1.522928152463679, + "fos_yielding": 2.0122412886017225, + "deflection": 0.0040412466472818185, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.479)" + }, + "parent_node_id": "node_1537", + "improvement_over_parent": null + }, + "node_1539": { + "node_id": "node_1539", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1538", + "improvement_over_parent": null + }, + "node_1540": { + "node_id": "node_1540", + "content": "INITIAL DESIGN (Trace 220)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 132.01 kg\n Factor of Safety: 0.61\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": 132.01005450718114, + "fos_buckling": 0.6128248961710012, + "fos_yielding": 0.6715151886525556, + "deflection": 0.009013858887456429, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1541": { + "node_id": "node_1541", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 155.35 kg\n Factor of Safety: 0.72\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": 155.34575015652584, + "fos_buckling": 0.7153765272731234, + "fos_yielding": 0.7913540094243416, + "deflection": 0.007668830526027569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1540", + "improvement_over_parent": null + }, + "node_1542": { + "node_id": "node_1542", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 188.67 kg\n Factor of Safety: 0.86\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": 188.67141907384004, + "fos_buckling": 0.8587968623762104, + "fos_yielding": 0.9631802334178263, + "deflection": 0.006324820419701662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1541", + "improvement_over_parent": null + }, + "node_1543": { + "node_id": "node_1543", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 241.53 kg\n Factor of Safety: 1.08\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": 241.53159107169972, + "fos_buckling": 1.0789291139281296, + "fos_yielding": 1.237536112165675, + "deflection": 0.004953617698000406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_1542", + "improvement_over_parent": null + }, + "node_1544": { + "node_id": "node_1544", + "content": "MODIFICATION: Increase 2 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 248.62 kg\n Factor of Safety: 1.08\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": 248.61958106670141, + "fos_buckling": 1.079868987552464, + "fos_yielding": 1.238614151061809, + "deflection": 0.004849098685403963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.504)" + }, + "parent_node_id": "node_1543", + "improvement_over_parent": null + }, + "node_1545": { + "node_id": "node_1545", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.51 kg\n Factor of Safety: 1.24\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.50573356002405, + "fos_buckling": 1.2359114652233258, + "fos_yielding": 1.441891685915644, + "deflection": 0.004186738870097144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_1544", + "improvement_over_parent": null + }, + "node_1546": { + "node_id": "node_1546", + "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.43 kg\n Factor of Safety: 1.45\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": 291.4280405220203, + "fos_buckling": 1.4518595889235042, + "fos_yielding": 2.017797998236448, + "deflection": 0.004109785086059093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.456)" + }, + "parent_node_id": "node_1545", + "improvement_over_parent": null + }, + "node_1547": { + "node_id": "node_1547", + "content": "MODIFICATION: Increase 5 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.77 kg\n Factor of Safety: 1.52\n Max Deflection: 4.05e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.7749694182982, + "fos_buckling": 1.5210293646020017, + "fos_yielding": 2.009148077427135, + "deflection": 0.0040467980672748965, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.383)" + }, + "parent_node_id": "node_1546", + "improvement_over_parent": null + }, + "node_1548": { + "node_id": "node_1548", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1547", + "improvement_over_parent": null + }, + "node_1549": { + "node_id": "node_1549", + "content": "INITIAL DESIGN (Trace 221)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 170.84 kg\n Factor of Safety: 0.67\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.8430861164288, + "fos_buckling": 0.6737128011738177, + "fos_yielding": 1.180122500866635, + "deflection": 0.010280182625052795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1550": { + "node_id": "node_1550", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 207.22 kg\n Factor of Safety: 0.80\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": 207.2208980438889, + "fos_buckling": 0.798179169146095, + "fos_yielding": 1.4325120528697501, + "deflection": 0.00848138981654564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1549", + "improvement_over_parent": null + }, + "node_1551": { + "node_id": "node_1551", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n\nPerformance:\n Mass: 211.12 kg\n Factor of Safety: 1.08\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": 211.1213429371112, + "fos_buckling": 1.080649287143739, + "fos_yielding": 1.2407460468295346, + "deflection": 0.005701800472550626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002414)" + }, + "parent_node_id": "node_1550", + "improvement_over_parent": null + }, + "node_1552": { + "node_id": "node_1552", + "content": "MODIFICATION: Increase 0 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n\nPerformance:\n Mass: 218.07 kg\n Factor of Safety: 1.08\n Max Deflection: 5.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.06535641823223, + "fos_buckling": 1.0795820617373768, + "fos_yielding": 1.239520713393634, + "deflection": 0.005434416807168979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.401)" + }, + "parent_node_id": "node_1551", + "improvement_over_parent": null + }, + "node_1553": { + "node_id": "node_1553", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 241.74 kg\n Factor of Safety: 1.18\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": 241.7423317620368, + "fos_buckling": 1.1843141543894795, + "fos_yielding": 1.3753811058916416, + "deflection": 0.004908669511974327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1552", + "improvement_over_parent": null + }, + "node_1554": { + "node_id": "node_1554", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 291.30 kg\n Factor of Safety: 1.40\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.30134999552763, + "fos_buckling": 1.3955379483234174, + "fos_yielding": 1.6608170281620411, + "deflection": 0.0040848593046305115, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_1553", + "improvement_over_parent": null + }, + "node_1555": { + "node_id": "node_1555", + "content": "MODIFICATION: Increase 6 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0076)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 300.53 kg\n Factor of Safety: 1.39\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": 300.5331727922327, + "fos_buckling": 1.3946513962354825, + "fos_yielding": 1.6597619505801209, + "deflection": 0.00396479946659485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.241)" + }, + "parent_node_id": "node_1554", + "improvement_over_parent": null + }, + "node_1556": { + "node_id": "node_1556", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1555", + "improvement_over_parent": null + }, + "node_1557": { + "node_id": "node_1557", + "content": "INITIAL DESIGN (Trace 222)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 159.33 kg\n Factor of Safety: 0.37\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": 159.3316681617814, + "fos_buckling": 0.3721334135149145, + "fos_yielding": 1.0556002155042103, + "deflection": 0.011579609148471564, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1558": { + "node_id": "node_1558", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 189.17 kg\n Factor of Safety: 1.07\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": 189.1748992555715, + "fos_buckling": 1.070568538309857, + "fos_yielding": 1.3516396169706781, + "deflection": 0.006360054049743387, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004064)" + }, + "parent_node_id": "node_1557", + "improvement_over_parent": null + }, + "node_1559": { + "node_id": "node_1559", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 210.64 kg\n Factor of Safety: 1.18\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": 210.63959986460122, + "fos_buckling": 1.1755774809705068, + "fos_yielding": 1.5039608450860018, + "deflection": 0.005717987985776625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1558", + "improvement_over_parent": null + }, + "node_1560": { + "node_id": "node_1560", + "content": "MODIFICATION: Increase 0 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 218.50 kg\n Factor of Safety: 1.19\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": 218.50246485740428, + "fos_buckling": 1.1920587180398214, + "fos_yielding": 1.5022056916797435, + "deflection": 0.0053991227463523455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.481)" + }, + "parent_node_id": "node_1559", + "improvement_over_parent": null + }, + "node_1561": { + "node_id": "node_1561", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 265.36 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": 265.36447009383375, + "fos_buckling": 1.4040865932994366, + "fos_yielding": 1.8224539680961036, + "deflection": 0.004457781732823028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_1560", + "improvement_over_parent": null + }, + "node_1562": { + "node_id": "node_1562", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.13390093258334, + "fos_buckling": 1.522578858936907, + "fos_yielding": 2.011907020012843, + "deflection": 0.00404198276189587, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_1561", + "improvement_over_parent": null + }, + "node_1563": { + "node_id": "node_1563", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1562", + "improvement_over_parent": null + }, + "node_1564": { + "node_id": "node_1564", + "content": "INITIAL DESIGN (Trace 223)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 162.50 kg\n Factor of Safety: 0.68\n Max Deflection: 8.17e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.49796727770396, + "fos_buckling": 0.680992741530314, + "fos_yielding": 1.2445778849653364, + "deflection": 0.008165880099191728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1565": { + "node_id": "node_1565", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 208.57 kg\n Factor of Safety: 0.84\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.5652762356541, + "fos_buckling": 0.8447365479566145, + "fos_yielding": 1.5951134698811742, + "deflection": 0.006380013293194663, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1564", + "improvement_over_parent": null + }, + "node_1566": { + "node_id": "node_1566", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n\nPerformance:\n Mass: 229.48 kg\n Factor of Safety: 1.10\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.47608417476394, + "fos_buckling": 1.0989602835168997, + "fos_yielding": 1.6056082840929833, + "deflection": 0.005198394948148854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003972)" + }, + "parent_node_id": "node_1565", + "improvement_over_parent": null + }, + "node_1567": { + "node_id": "node_1567", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n\nPerformance:\n Mass: 256.78 kg\n Factor of Safety: 1.21\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": 256.7815337362245, + "fos_buckling": 1.213296060081482, + "fos_yielding": 1.7952802436716795, + "deflection": 0.004652302024597636, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1566", + "improvement_over_parent": null + }, + "node_1568": { + "node_id": "node_1568", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 284.20 kg\n Factor of Safety: 1.32\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": 284.19774556851576, + "fos_buckling": 1.3245778854807002, + "fos_yielding": 1.985418434720393, + "deflection": 0.0042095498252334934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1567", + "improvement_over_parent": null + }, + "node_1569": { + "node_id": "node_1569", + "content": "MODIFICATION: Increase 10 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0064)]\n\nPerformance:\n Mass: 290.58 kg\n Factor of Safety: 1.32\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.5801791493389, + "fos_buckling": 1.322350043824501, + "fos_yielding": 1.98595800474678, + "deflection": 0.004163459832479555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.279)" + }, + "parent_node_id": "node_1568", + "improvement_over_parent": null + }, + "node_1570": { + "node_id": "node_1570", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1569", + "improvement_over_parent": null + }, + "node_1571": { + "node_id": "node_1571", + "content": "INITIAL DESIGN (Trace 224)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 178.07 kg\n Factor of Safety: 0.44\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": 178.06899216700432, + "fos_buckling": 0.44288864379296294, + "fos_yielding": 1.3588266478640412, + "deflection": 0.010059377924402578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1572": { + "node_id": "node_1572", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 203.06 kg\n Factor of Safety: 0.50\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.06103523391977, + "fos_buckling": 0.49558074132716934, + "fos_yielding": 1.5474416163396498, + "deflection": 0.008834072182984782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_1571", + "improvement_over_parent": null + }, + "node_1573": { + "node_id": "node_1573", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.22 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.21559050191522, + "fos_buckling": 0.5887563906697884, + "fos_yielding": 1.901930449171303, + "deflection": 0.007188790375864644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1572", + "improvement_over_parent": null + }, + "node_1574": { + "node_id": "node_1574", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.41 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4136484393674, + "fos_buckling": 1.5237884139209392, + "fos_yielding": 2.0139356531161208, + "deflection": 0.0040382051334399635, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1573", + "improvement_over_parent": null + }, + "node_1575": { + "node_id": "node_1575", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1574", + "improvement_over_parent": null + }, + "node_1576": { + "node_id": "node_1576", + "content": "INITIAL DESIGN (Trace 225)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 213.87 kg\n Factor of Safety: 0.91\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": 213.8729515384188, + "fos_buckling": 0.9118853752514358, + "fos_yielding": 1.8119812510673563, + "deflection": 0.005837333681272769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1577": { + "node_id": "node_1577", + "content": "MODIFICATION: Increase 3 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 221.58 kg\n Factor of Safety: 0.91\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.58446908395337, + "fos_buckling": 0.9114022819819089, + "fos_yielding": 1.7872146763381016, + "deflection": 0.005731800380649955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.603)" + }, + "parent_node_id": "node_1576", + "improvement_over_parent": null + }, + "node_1578": { + "node_id": "node_1578", + "content": "MODIFICATION: Increase 4 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 223.92 kg\n Factor of Safety: 0.91\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.91690153858303, + "fos_buckling": 0.9114022819819089, + "fos_yielding": 1.7872146763381016, + "deflection": 0.005731800380649955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.647)" + }, + "parent_node_id": "node_1577", + "improvement_over_parent": null + }, + "node_1579": { + "node_id": "node_1579", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 253.02 kg\n Factor of Safety: 1.33\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": 253.01914558259517, + "fos_buckling": 1.3329628590991514, + "fos_yielding": 1.7987748564044233, + "deflection": 0.004632487380682562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004706)" + }, + "parent_node_id": "node_1578", + "improvement_over_parent": null + }, + "node_1580": { + "node_id": "node_1580", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 286.25 kg\n Factor of Safety: 1.47\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": 286.24888304421813, + "fos_buckling": 1.4745354810335447, + "fos_yielding": 2.03286606452525, + "deflection": 0.004102920981053159, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1579", + "improvement_over_parent": null + }, + "node_1581": { + "node_id": "node_1581", + "content": "MODIFICATION: Increase 9 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0083)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 298.92 kg\n Factor of Safety: 1.53\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": 298.9186963457811, + "fos_buckling": 1.53255437575499, + "fos_yielding": 2.058649792849279, + "deflection": 0.003929520271526152, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.323)" + }, + "parent_node_id": "node_1580", + "improvement_over_parent": null + }, + "node_1582": { + "node_id": "node_1582", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1581", + "improvement_over_parent": null + }, + "node_1583": { + "node_id": "node_1583", + "content": "INITIAL DESIGN (Trace 226)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 233.83 kg\n Factor of Safety: 0.98\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": 233.8274961717877, + "fos_buckling": 0.9838775489891821, + "fos_yielding": 2.058055226529948, + "deflection": 0.0054366987910409266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1584": { + "node_id": "node_1584", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.23 kg\n Factor of Safety: 1.07\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": 260.2308772197228, + "fos_buckling": 1.0733509960264058, + "fos_yielding": 2.28976821821773, + "deflection": 0.004893059724520742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_1583", + "improvement_over_parent": null + }, + "node_1585": { + "node_id": "node_1585", + "content": "MODIFICATION: Increase 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 261.61 kg\n Factor of Safety: 1.07\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": 261.6064846406377, + "fos_buckling": 1.0733509960264058, + "fos_yielding": 2.28976821821773, + "deflection": 0.0048578217363141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.266)" + }, + "parent_node_id": "node_1584", + "improvement_over_parent": null + }, + "node_1586": { + "node_id": "node_1586", + "content": "MODIFICATION: Increase 5 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.44 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.4406035586992, + "fos_buckling": 1.0732282962967656, + "fos_yielding": 2.28976821821773, + "deflection": 0.004847828225643894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.209)" + }, + "parent_node_id": "node_1585", + "improvement_over_parent": null + }, + "node_1587": { + "node_id": "node_1587", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.42 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4191496077756, + "fos_buckling": 1.5236412210503103, + "fos_yielding": 2.0139871295699647, + "deflection": 0.004037928289433606, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1586", + "improvement_over_parent": null + }, + "node_1588": { + "node_id": "node_1588", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1587", + "improvement_over_parent": null + }, + "node_1589": { + "node_id": "node_1589", + "content": "INITIAL DESIGN (Trace 227)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 206.52 kg\n Factor of Safety: 0.70\n Max Deflection: 8.25e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.5191239518641, + "fos_buckling": 0.6972253263370077, + "fos_yielding": 1.9457034767707515, + "deflection": 8246920789681.144, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1590": { + "node_id": "node_1590", + "content": "MODIFICATION: Increase 6 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 211.09 kg\n Factor of Safety: 0.67\n Max Deflection: 2.83e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 211.0876724775236, + "fos_buckling": 0.6734258373156389, + "fos_yielding": 1.9096557367085798, + "deflection": 28298295846160.574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.190)" + }, + "parent_node_id": "node_1589", + "improvement_over_parent": null + }, + "node_1591": { + "node_id": "node_1591", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 216.30 kg\n Factor of Safety: 0.76\n Max Deflection: 1.76e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.3015025113377, + "fos_buckling": 0.7599196158529218, + "fos_yielding": 3.595386231725728, + "deflection": 17606529403474.633, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1590", + "improvement_over_parent": null + }, + "node_1592": { + "node_id": "node_1592", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 251.44 kg\n Factor of Safety: 0.85\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.43798346952485, + "fos_buckling": 0.8473122284587119, + "fos_yielding": 1.9986878758131656, + "deflection": 0.00579101756488282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004926)" + }, + "parent_node_id": "node_1591", + "improvement_over_parent": null + }, + "node_1593": { + "node_id": "node_1593", + "content": "MODIFICATION: Increase 6 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 258.36 kg\n Factor of Safety: 0.85\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.35642665737055, + "fos_buckling": 0.8469104219262235, + "fos_yielding": 1.9838902069572537, + "deflection": 0.005742040050140848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.252)" + }, + "parent_node_id": "node_1592", + "improvement_over_parent": null + }, + "node_1594": { + "node_id": "node_1594", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 266.17 kg\n Factor of Safety: 0.85\n Max Deflection: 5.33e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.17189755428797, + "fos_buckling": 0.8464569763400394, + "fos_yielding": 1.9836767225413479, + "deflection": 0.005327992624564055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.328)" + }, + "parent_node_id": "node_1593", + "improvement_over_parent": null + }, + "node_1595": { + "node_id": "node_1595", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.07 kg\n Factor of Safety: 1.34\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": 292.06933469667774, + "fos_buckling": 1.3435899407881318, + "fos_yielding": 1.9997137904527102, + "deflection": 0.004141182525071718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1594", + "improvement_over_parent": null + }, + "node_1596": { + "node_id": "node_1596", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1595", + "improvement_over_parent": null + }, + "node_1597": { + "node_id": "node_1597", + "content": "INITIAL DESIGN (Trace 228)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 238.21 kg\n Factor of Safety: 0.52\n Max Deflection: 7.74e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.20574777846136, + "fos_buckling": 0.5218833317255812, + "fos_yielding": 1.5729107090574002, + "deflection": 0.007740501165000223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1598": { + "node_id": "node_1598", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.79 kg\n Factor of Safety: 1.29\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.78767894640725, + "fos_buckling": 1.286809462483084, + "fos_yielding": 2.0133184214552124, + "deflection": 0.00425058842974147, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1597", + "improvement_over_parent": null + }, + "node_1599": { + "node_id": "node_1599", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.62 kg\n Factor of Safety: 1.33\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.6178265169571, + "fos_buckling": 1.333017103579653, + "fos_yielding": 2.0140335261897317, + "deflection": 0.004196674894859981, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.385)" + }, + "parent_node_id": "node_1598", + "improvement_over_parent": null + }, + "node_1600": { + "node_id": "node_1600", + "content": "MODIFICATION: Increase 7 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.24944405095005, + "fos_buckling": 1.5229118505170862, + "fos_yielding": 2.012441008638634, + "deflection": 0.004040342162335757, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.274)" + }, + "parent_node_id": "node_1599", + "improvement_over_parent": null + }, + "node_1601": { + "node_id": "node_1601", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1600", + "improvement_over_parent": null + }, + "node_1602": { + "node_id": "node_1602", + "content": "INITIAL DESIGN (Trace 229)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n\nPerformance:\n Mass: 119.98 kg\n Factor of Safety: 0.01\n Max Deflection: 8.65e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.98177681665334, + "fos_buckling": 0.00827076271843376, + "fos_yielding": 0.017582927676193367, + "deflection": 865386674290268.9, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1603": { + "node_id": "node_1603", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n\nPerformance:\n Mass: 141.75 kg\n Factor of Safety: 0.46\n Max Deflection: 1.10e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.75090993305858, + "fos_buckling": 0.45546543348694274, + "fos_yielding": 1.1253073712763755, + "deflection": 11034161423691.734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_1602", + "improvement_over_parent": null + }, + "node_1604": { + "node_id": "node_1604", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n\nPerformance:\n Mass: 156.05 kg\n Factor of Safety: 0.37\n Max Deflection: 1.32e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.04724881829097, + "fos_buckling": 0.3651485330670836, + "fos_yielding": 1.033377792764931, + "deflection": 0.013197268554107461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002293)" + }, + "parent_node_id": "node_1603", + "improvement_over_parent": null + }, + "node_1605": { + "node_id": "node_1605", + "content": "MODIFICATION: Increase 9 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 162.06 kg\n Factor of Safety: 0.36\n Max Deflection: 1.18e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.05999119096785, + "fos_buckling": 0.36499707714862517, + "fos_yielding": 1.0329786137635604, + "deflection": 0.01176553874504712, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.445)" + }, + "parent_node_id": "node_1604", + "improvement_over_parent": null + }, + "node_1606": { + "node_id": "node_1606", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 196.34 kg\n Factor of Safety: 0.43\n Max Deflection: 9.73e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.34031065685568, + "fos_buckling": 0.4308173541146583, + "fos_yielding": 1.2500629751073178, + "deflection": 0.009726294777520168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_1605", + "improvement_over_parent": null + }, + "node_1607": { + "node_id": "node_1607", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.75 kg\n Factor of Safety: 1.21\n Max Deflection: 5.15e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.7509701197427, + "fos_buckling": 1.205239155724071, + "fos_yielding": 1.6055081128163022, + "deflection": 0.005145255054160639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004878)" + }, + "parent_node_id": "node_1606", + "improvement_over_parent": null + }, + "node_1608": { + "node_id": "node_1608", + "content": "MODIFICATION: Increase 5 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 232.75 kg\n Factor of Safety: 1.26\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.7466341623018, + "fos_buckling": 1.2586877654635722, + "fos_yielding": 1.5992335289540345, + "deflection": 0.005072896288697925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.340)" + }, + "parent_node_id": "node_1607", + "improvement_over_parent": null + }, + "node_1609": { + "node_id": "node_1609", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.96 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9622507790169, + "fos_buckling": 1.522500489017912, + "fos_yielding": 2.0102617829126066, + "deflection": 0.004044312844930083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1608", + "improvement_over_parent": null + }, + "node_1610": { + "node_id": "node_1610", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1609", + "improvement_over_parent": null + }, + "node_1611": { + "node_id": "node_1611", + "content": "INITIAL DESIGN (Trace 230)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 183.88 kg\n Factor of Safety: 0.72\n Max Deflection: 9.02e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.88337867896644, + "fos_buckling": 0.7181921838973877, + "fos_yielding": 1.4957071221339227, + "deflection": 0.009015323010832113, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1612": { + "node_id": "node_1612", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 220.80 kg\n Factor of Safety: 0.84\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.80452210469713, + "fos_buckling": 0.8421276025645698, + "fos_yielding": 1.7937508674588563, + "deflection": 0.007518315770036498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1611", + "improvement_over_parent": null + }, + "node_1613": { + "node_id": "node_1613", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 224.87 kg\n Factor of Safety: 1.21\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": 224.87366445958054, + "fos_buckling": 1.209128596824537, + "fos_yielding": 1.5717517460575838, + "deflection": 0.00522560647933642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002526)" + }, + "parent_node_id": "node_1612", + "improvement_over_parent": null + }, + "node_1614": { + "node_id": "node_1614", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 253.54 kg\n Factor of Safety: 1.34\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.54309596760254, + "fos_buckling": 1.3376623613938297, + "fos_yielding": 1.7707259144985137, + "deflection": 0.004642550245038888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_1613", + "improvement_over_parent": null + }, + "node_1615": { + "node_id": "node_1615", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 287.98 kg\n Factor of Safety: 1.48\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": 287.9847728813591, + "fos_buckling": 1.4845578111224782, + "fos_yielding": 2.0093271532743455, + "deflection": 0.004095610174880956, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_1614", + "improvement_over_parent": null + }, + "node_1616": { + "node_id": "node_1616", + "content": "MODIFICATION: Increase 2 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 292.88 kg\n Factor of Safety: 1.52\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": 292.87710161216233, + "fos_buckling": 1.5214167491024562, + "fos_yielding": 2.010006675086942, + "deflection": 0.004045424078366399, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.256)" + }, + "parent_node_id": "node_1615", + "improvement_over_parent": null + }, + "node_1617": { + "node_id": "node_1617", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1616", + "improvement_over_parent": null + }, + "node_1618": { + "node_id": "node_1618", + "content": "INITIAL DESIGN (Trace 231)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 138.20 kg\n Factor of Safety: 0.61\n Max Deflection: 9.19e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.2032529259177, + "fos_buckling": 0.6148474314071865, + "fos_yielding": 1.1991959467012376, + "deflection": 0.009192418369126844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1619": { + "node_id": "node_1619", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 177.23 kg\n Factor of Safety: 0.77\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.22718738952372, + "fos_buckling": 0.7669750523316715, + "fos_yielding": 1.536954845798203, + "deflection": 0.007187565133165632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_1618", + "improvement_over_parent": null + }, + "node_1620": { + "node_id": "node_1620", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 227.15 kg\n Factor of Safety: 0.95\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": 227.14514265407547, + "fos_buckling": 0.948001674857131, + "fos_yielding": 1.9684176078159348, + "deflection": 0.005627323150086271, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_1619", + "improvement_over_parent": null + }, + "node_1621": { + "node_id": "node_1621", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 264.22 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.22012006530434, + "fos_buckling": 1.072685316363608, + "fos_yielding": 2.288428227518663, + "deflection": 0.004850116036416569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_1620", + "improvement_over_parent": null + }, + "node_1622": { + "node_id": "node_1622", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.91 kg\n Factor of Safety: 1.07\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": 268.91174047759256, + "fos_buckling": 1.072340612356707, + "fos_yielding": 2.2877612983749533, + "deflection": 0.004851537195211081, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.196)" + }, + "parent_node_id": "node_1621", + "improvement_over_parent": null + }, + "node_1623": { + "node_id": "node_1623", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2932124384247, + "fos_buckling": 1.5231429622001247, + "fos_yielding": 2.013021143292825, + "deflection": 0.004039714461530256, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1622", + "improvement_over_parent": null + }, + "node_1624": { + "node_id": "node_1624", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1623", + "improvement_over_parent": null + }, + "node_1625": { + "node_id": "node_1625", + "content": "INITIAL DESIGN (Trace 232)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\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_1626": { + "node_id": "node_1626", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 210.48 kg\n Factor of Safety: 0.89\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": 210.4750237892728, + "fos_buckling": 0.8929140179121028, + "fos_yielding": 1.7096556569904404, + "deflection": 0.0061330808631220365, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004264)" + }, + "parent_node_id": "node_1625", + "improvement_over_parent": null + }, + "node_1627": { + "node_id": "node_1627", + "content": "MODIFICATION: Increase 1 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 219.27 kg\n Factor of Safety: 0.89\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": 219.2669224604837, + "fos_buckling": 0.8923745394655628, + "fos_yielding": 1.7395751082370838, + "deflection": 0.005861836307600229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.443)" + }, + "parent_node_id": "node_1626", + "improvement_over_parent": null + }, + "node_1628": { + "node_id": "node_1628", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 247.64 kg\n Factor of Safety: 1.31\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": 247.6438407937753, + "fos_buckling": 1.3127880638789282, + "fos_yielding": 1.7509847711828876, + "deflection": 0.004736193833062381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004579)" + }, + "parent_node_id": "node_1627", + "improvement_over_parent": null + }, + "node_1629": { + "node_id": "node_1629", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 287.17 kg\n Factor of Safety: 1.48\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.1701464603914, + "fos_buckling": 1.4823475502768486, + "fos_yielding": 2.028008098021715, + "deflection": 0.004094029497171294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1628", + "improvement_over_parent": null + }, + "node_1630": { + "node_id": "node_1630", + "content": "MODIFICATION: Increase 9 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.48\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": 293.1529015248409, + "fos_buckling": 1.4801361906900832, + "fos_yielding": 2.028555134441225, + "deflection": 0.004049587730606822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.261)" + }, + "parent_node_id": "node_1629", + "improvement_over_parent": null + }, + "node_1631": { + "node_id": "node_1631", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1630", + "improvement_over_parent": null + }, + "node_1632": { + "node_id": "node_1632", + "content": "INITIAL DESIGN (Trace 233)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 207.03 kg\n Factor of Safety: 0.17\n Max Deflection: 2.76e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.0283379156811, + "fos_buckling": 0.16835677506515462, + "fos_yielding": 0.7545064217469196, + "deflection": 27565255504657.062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1633": { + "node_id": "node_1633", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 216.95 kg\n Factor of Safety: 0.70\n Max Deflection: 1.27e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.95335707877967, + "fos_buckling": 0.6972253263370077, + "fos_yielding": 1.6214195639756264, + "deflection": 12731113102293.902, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.433)" + }, + "parent_node_id": "node_1632", + "improvement_over_parent": null + }, + "node_1634": { + "node_id": "node_1634", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 222.17 kg\n Factor of Safety: 0.48\n Max Deflection: 8.65e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.16718711259378, + "fos_buckling": 0.4791249744936043, + "fos_yielding": 1.1253073712763755, + "deflection": 8652062369819.769, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1633", + "improvement_over_parent": null + }, + "node_1635": { + "node_id": "node_1635", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 248.06 kg\n Factor of Safety: 0.59\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.06462425498356, + "fos_buckling": 0.5883785796540216, + "fos_yielding": 1.3703811201327636, + "deflection": 0.007417818804319818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1634", + "improvement_over_parent": null + }, + "node_1636": { + "node_id": "node_1636", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 291.26 kg\n Factor of Safety: 1.29\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.26268219243576, + "fos_buckling": 1.2940830739722144, + "fos_yielding": 2.0116463187821227, + "deflection": 0.00409394094523617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1635", + "improvement_over_parent": null + }, + "node_1637": { + "node_id": "node_1637", + "content": "MODIFICATION: Increase 4 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 294.95 kg\n Factor of Safety: 1.30\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": 294.950066905648, + "fos_buckling": 1.2951892172152342, + "fos_yielding": 2.142849695163173, + "deflection": 0.004040933581393722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.425)" + }, + "parent_node_id": "node_1636", + "improvement_over_parent": null + }, + "node_1638": { + "node_id": "node_1638", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1637", + "improvement_over_parent": null + }, + "node_1639": { + "node_id": "node_1639", + "content": "INITIAL DESIGN (Trace 234)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 173.85 kg\n Factor of Safety: 0.88\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.85169975977084, + "fos_buckling": 0.8797880928518614, + "fos_yielding": 1.797513008735777, + "deflection": 0.007065776691825277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1640": { + "node_id": "node_1640", + "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0022)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 183.33 kg\n Factor of Safety: 0.82\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.3293482463087, + "fos_buckling": 0.8196423514864781, + "fos_yielding": 1.797513008735777, + "deflection": 0.006833475947801107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.590)" + }, + "parent_node_id": "node_1639", + "improvement_over_parent": null + }, + "node_1641": { + "node_id": "node_1641", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 210.50 kg\n Factor of Safety: 0.93\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": 210.50054741089346, + "fos_buckling": 0.9334621842802611, + "fos_yielding": 2.0618601710808133, + "deflection": 0.0059605131272706885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_1640", + "improvement_over_parent": null + }, + "node_1642": { + "node_id": "node_1642", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 233.85 kg\n Factor of Safety: 1.03\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.84550387971245, + "fos_buckling": 1.029661908970238, + "fos_yielding": 2.2884923082768136, + "deflection": 0.0053724988808939965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_1641", + "improvement_over_parent": null + }, + "node_1643": { + "node_id": "node_1643", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 264.82 kg\n Factor of Safety: 1.01\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.82404992878884, + "fos_buckling": 1.005394794811664, + "fos_yielding": 2.0383868229188233, + "deflection": 0.004661360699056918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1642", + "improvement_over_parent": null + }, + "node_1644": { + "node_id": "node_1644", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 272.13 kg\n Factor of Safety: 1.19\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": 272.1341270063674, + "fos_buckling": 1.1936465064670234, + "fos_yielding": 2.036106653337805, + "deflection": 0.0044088736650655545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.362)" + }, + "parent_node_id": "node_1643", + "improvement_over_parent": null + }, + "node_1645": { + "node_id": "node_1645", + "content": "MODIFICATION: Increase 7 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 286.61 kg\n Factor of Safety: 1.47\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": 286.6073625664416, + "fos_buckling": 1.465267325816575, + "fos_yielding": 2.033287930052005, + "deflection": 0.004109204598918004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.553)" + }, + "parent_node_id": "node_1644", + "improvement_over_parent": null + }, + "node_1646": { + "node_id": "node_1646", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.17 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1668198999549, + "fos_buckling": 1.5226210224712045, + "fos_yielding": 2.0119874331150576, + "deflection": 0.004041466045410731, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.404)" + }, + "parent_node_id": "node_1645", + "improvement_over_parent": null + }, + "node_1647": { + "node_id": "node_1647", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 235)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 157.95 kg\n Factor of Safety: 0.76\n Max Deflection: 8.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.94594964192268, + "fos_buckling": 0.7648196278811288, + "fos_yielding": 1.52991054851679, + "deflection": 0.00870363496302156, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n\nPerformance:\n Mass: 173.46 kg\n Factor of Safety: 0.85\n Max Deflection: 7.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.46158113080904, + "fos_buckling": 0.848349356435215, + "fos_yielding": 1.3324898242927685, + "deflection": 0.007025292952890381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002497)" + }, + "parent_node_id": "node_1648", + "improvement_over_parent": null + }, + "node_1650": { + "node_id": "node_1650", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n\nPerformance:\n Mass: 203.27 kg\n Factor of Safety: 0.98\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": 203.26915375897167, + "fos_buckling": 0.9807574951270606, + "fos_yielding": 1.559008443130485, + "deflection": 0.006002204250752577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_1649", + "improvement_over_parent": null + }, + "node_1651": { + "node_id": "node_1651", + "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n\nPerformance:\n Mass: 213.68 kg\n Factor of Safety: 1.24\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.67575188804068, + "fos_buckling": 1.242905230794589, + "fos_yielding": 1.5572746887178923, + "deflection": 0.0056579425240066965, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.477)" + }, + "parent_node_id": "node_1650", + "improvement_over_parent": null + }, + "node_1652": { + "node_id": "node_1652", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 273.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.43e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 273.36933638202225, + "fos_buckling": 1.523014758046955, + "fos_yielding": 1.9878488395093823, + "deflection": 0.004434003125433301, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_1651", + "improvement_over_parent": null + }, + "node_1653": { + "node_id": "node_1653", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0085)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 287.17 kg\n Factor of Safety: 1.53\n Max Deflection: 4.28e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 287.1652870844877, + "fos_buckling": 1.5251813188666044, + "fos_yielding": 2.0099864469074586, + "deflection": 0.004276588218182879, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.353)" + }, + "parent_node_id": "node_1652", + "improvement_over_parent": null + }, + "node_1654": { + "node_id": "node_1654", + "content": "MODIFICATION: Increase 1 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0085)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 299.32 kg\n Factor of Safety: 1.53\n Max Deflection: 3.92e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 299.3166071445474, + "fos_buckling": 1.5319966178590008, + "fos_yielding": 2.0608047359983543, + "deflection": 0.003924581901848167, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.582)" + }, + "parent_node_id": "node_1653", + "improvement_over_parent": null + }, + "node_1655": { + "node_id": "node_1655", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1654", + "improvement_over_parent": null + }, + "node_1656": { + "node_id": "node_1656", + "content": "INITIAL DESIGN (Trace 236)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1657": { + "node_id": "node_1657", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 253.77 kg\n Factor of Safety: 1.07\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": 253.77093225408146, + "fos_buckling": 1.0732119940131104, + "fos_yielding": 2.2880718948682164, + "deflection": 0.004942578874973333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1656", + "improvement_over_parent": null + }, + "node_1658": { + "node_id": "node_1658", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0087)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 268.62 kg\n Factor of Safety: 1.34\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": 268.6235956523635, + "fos_buckling": 1.3434431255484596, + "fos_yielding": 2.2880718948682164, + "deflection": 0.004555970027246886, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.381)" + }, + "parent_node_id": "node_1657", + "improvement_over_parent": null + }, + "node_1659": { + "node_id": "node_1659", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0087)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 299.60 kg\n Factor of Safety: 1.46\n Max Deflection: 3.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 299.6021417014399, + "fos_buckling": 1.463008899031, + "fos_yielding": 2.041601077149762, + "deflection": 0.003942155218229332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1658", + "improvement_over_parent": null + }, + "node_1660": { + "node_id": "node_1660", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1659", + "improvement_over_parent": null + }, + "node_1661": { + "node_id": "node_1661", + "content": "INITIAL DESIGN (Trace 237)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 239.73 kg\n Factor of Safety: 0.39\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.72948263699712, + "fos_buckling": 0.385803879459598, + "fos_yielding": 1.4480804136114986, + "deflection": 0.008659207235486062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1662": { + "node_id": "node_1662", + "content": "MODIFICATION: Increase 3 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 247.00 kg\n Factor of Safety: 0.52\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.9951087717969, + "fos_buckling": 0.5214251306175601, + "fos_yielding": 1.447328857365893, + "deflection": 0.007838566587750319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.466)" + }, + "parent_node_id": "node_1661", + "improvement_over_parent": null + }, + "node_1663": { + "node_id": "node_1663", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.58 kg\n Factor of Safety: 1.37\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.5770399397428, + "fos_buckling": 1.3738465126037853, + "fos_yielding": 2.0237034523634154, + "deflection": 0.0041222336174259605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1662", + "improvement_over_parent": null + }, + "node_1664": { + "node_id": "node_1664", + "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2153602199532, + "fos_buckling": 1.5228534919850305, + "fos_yielding": 2.0124660975931765, + "deflection": 0.004040669039059885, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.502)" + }, + "parent_node_id": "node_1663", + "improvement_over_parent": null + }, + "node_1665": { + "node_id": "node_1665", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1664", + "improvement_over_parent": null + }, + "node_1666": { + "node_id": "node_1666", + "content": "INITIAL DESIGN (Trace 238)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 141.67 kg\n Factor of Safety: 0.64\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": 141.67321908685616, + "fos_buckling": 0.6364236101594052, + "fos_yielding": 1.3351598841070118, + "deflection": 0.010098866767529836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1667": { + "node_id": "node_1667", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n\nPerformance:\n Mass: 155.89 kg\n Factor of Safety: 0.64\n Max Deflection: 8.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.89139362416637, + "fos_buckling": 0.6357992017449347, + "fos_yielding": 1.1684674783397277, + "deflection": 0.008530152691574618, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002727)" + }, + "parent_node_id": "node_1666", + "improvement_over_parent": null + }, + "node_1668": { + "node_id": "node_1668", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n\nPerformance:\n Mass: 194.06 kg\n Factor of Safety: 0.77\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": 194.0639515546565, + "fos_buckling": 0.7705891445260519, + "fos_yielding": 1.453241623877505, + "deflection": 0.00686845606865668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_1667", + "improvement_over_parent": null + }, + "node_1669": { + "node_id": "node_1669", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 212.86 kg\n Factor of Safety: 1.17\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": 212.8587133333523, + "fos_buckling": 1.1654614523210058, + "fos_yielding": 1.4635705985166207, + "deflection": 0.005540339745374135, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003543)" + }, + "parent_node_id": "node_1668", + "improvement_over_parent": null + }, + "node_1670": { + "node_id": "node_1670", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 252.81 kg\n Factor of Safety: 1.35\n Max Deflection: 4.68e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.81423539374245, + "fos_buckling": 1.3487552858328138, + "fos_yielding": 1.7367294781716935, + "deflection": 0.004675572517613023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1669", + "improvement_over_parent": null + }, + "node_1671": { + "node_id": "node_1671", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0905743714524, + "fos_buckling": 1.5223607427042984, + "fos_yielding": 2.0115837166303843, + "deflection": 0.00404248762046282, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_1670", + "improvement_over_parent": null + }, + "node_1672": { + "node_id": "node_1672", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1671", + "improvement_over_parent": null + }, + "node_1673": { + "node_id": "node_1673", + "content": "INITIAL DESIGN (Trace 239)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 251.75 kg\n Factor of Safety: 1.12\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.75256573484353, + "fos_buckling": 1.120542295141541, + "fos_yielding": 1.291623705641353, + "deflection": 0.004695605324916235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1674": { + "node_id": "node_1674", + "content": "MODIFICATION: Increase 6 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 254.37 kg\n Factor of Safety: 1.33\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": 254.36997475629158, + "fos_buckling": 1.3266066696273637, + "fos_yielding": 1.805025973306242, + "deflection": 0.004606319656472398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.449)" + }, + "parent_node_id": "node_1673", + "improvement_over_parent": null + }, + "node_1675": { + "node_id": "node_1675", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.61 kg\n Factor of Safety: 1.45\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": 283.6139100447312, + "fos_buckling": 1.4499816037621975, + "fos_yielding": 2.010667223818321, + "deflection": 0.004138533616515373, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1674", + "improvement_over_parent": null + }, + "node_1676": { + "node_id": "node_1676", + "content": "MODIFICATION: Increase 8 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1994447749314, + "fos_buckling": 1.5227919046997722, + "fos_yielding": 2.011929590296354, + "deflection": 0.004041022458042741, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.451)" + }, + "parent_node_id": "node_1675", + "improvement_over_parent": null + }, + "node_1677": { + "node_id": "node_1677", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1676", + "improvement_over_parent": null + }, + "node_1678": { + "node_id": "node_1678", + "content": "INITIAL DESIGN (Trace 240)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 148.10 kg\n Factor of Safety: 0.44\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": 148.09958826249283, + "fos_buckling": 0.4372821418902695, + "fos_yielding": 1.337683600710507, + "deflection": 0.011590891654642322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1679": { + "node_id": "node_1679", + "content": "MODIFICATION: Increase 8 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 153.41 kg\n Factor of Safety: 0.44\n Max Deflection: 1.11e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.4135581985081, + "fos_buckling": 0.4371217526753627, + "fos_yielding": 1.3374228712257072, + "deflection": 0.01113999682778418, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.218)" + }, + "parent_node_id": "node_1678", + "improvement_over_parent": null + }, + "node_1680": { + "node_id": "node_1680", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 184.41 kg\n Factor of Safety: 0.51\n Max Deflection: 9.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.40844749317543, + "fos_buckling": 0.5116818909746296, + "fos_yielding": 1.6048078155217536, + "deflection": 0.009285175210930275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1679", + "improvement_over_parent": null + }, + "node_1681": { + "node_id": "node_1681", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 220.78 kg\n Factor of Safety: 0.93\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": 220.7800397685208, + "fos_buckling": 0.931497600520307, + "fos_yielding": 1.9267300662554019, + "deflection": 0.005747182278440273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005113)" + }, + "parent_node_id": "node_1680", + "improvement_over_parent": null + }, + "node_1682": { + "node_id": "node_1682", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 246.87 kg\n Factor of Safety: 1.32\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": 246.86580435352724, + "fos_buckling": 1.322378259078745, + "fos_yielding": 1.6958481730645933, + "deflection": 0.004786622231883995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004330)" + }, + "parent_node_id": "node_1681", + "improvement_over_parent": null + }, + "node_1683": { + "node_id": "node_1683", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.17 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1687802579487, + "fos_buckling": 1.5229134435278717, + "fos_yielding": 2.011830765750418, + "deflection": 0.004041461960932144, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_1682", + "improvement_over_parent": null + }, + "node_1684": { + "node_id": "node_1684", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 241)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 168.06 kg\n Factor of Safety: 1.00\n Max Deflection: 7.56e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.0649968292169, + "fos_buckling": 0.9975866283298346, + "fos_yielding": 1.767545119451328, + "deflection": 7555380144089.878, + "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: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 202.49 kg\n Factor of Safety: 0.87\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.48714691229583, + "fos_buckling": 0.8655937191516534, + "fos_yielding": 1.767545119451328, + "deflection": 0.0062594539026676645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004732)" + }, + "parent_node_id": "node_1685", + "improvement_over_parent": null + }, + "node_1687": { + "node_id": "node_1687", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 226.41 kg\n Factor of Safety: 1.23\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": 226.4103475420715, + "fos_buckling": 1.2288372182735938, + "fos_yielding": 1.556200583311835, + "deflection": 0.005212912477829227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003945)" + }, + "parent_node_id": "node_1686", + "improvement_over_parent": null + }, + "node_1688": { + "node_id": "node_1688", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.44 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4444882656855, + "fos_buckling": 1.523798734517378, + "fos_yielding": 2.013905830890871, + "deflection": 0.004037754360717164, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_1687", + "improvement_over_parent": null + }, + "node_1689": { + "node_id": "node_1689", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1688", + "improvement_over_parent": null + }, + "node_1690": { + "node_id": "node_1690", + "content": "INITIAL DESIGN (Trace 242)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0022)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0022)]\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_1691": { + "node_id": "node_1691", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0022)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0022)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n\nPerformance:\n Mass: 98.00 kg\n Factor of Safety: 0.45\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": 98.00001736260384, + "fos_buckling": 0.45094833777820775, + "fos_yielding": 0.8562091269111861, + "deflection": 0.012847508515163922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001716)" + }, + "parent_node_id": "node_1690", + "improvement_over_parent": null + }, + "node_1692": { + "node_id": "node_1692", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0018)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0022)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0022)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n\nPerformance:\n Mass: 109.58 kg\n Factor of Safety: 0.64\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": 109.57634959376948, + "fos_buckling": 0.6400064710383317, + "fos_yielding": 0.7551915932378799, + "deflection": 0.010697754300103918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.001843)" + }, + "parent_node_id": "node_1691", + "improvement_over_parent": null + }, + "node_1693": { + "node_id": "node_1693", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n\nPerformance:\n Mass: 143.55 kg\n Factor of Safety: 0.82\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.55061043454864, + "fos_buckling": 0.8211064797419001, + "fos_yielding": 0.9885794499641334, + "deflection": 0.008182146763019597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_1692", + "improvement_over_parent": null + }, + "node_1694": { + "node_id": "node_1694", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 186.76 kg\n Factor of Safety: 1.04\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": 186.76384824951984, + "fos_buckling": 1.0397252854732049, + "fos_yielding": 1.284917223913056, + "deflection": 0.006304846772194945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_1693", + "improvement_over_parent": null + }, + "node_1695": { + "node_id": "node_1695", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 241.24 kg\n Factor of Safety: 1.30\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": 241.2422174184953, + "fos_buckling": 1.296759451098395, + "fos_yielding": 1.6576827972910575, + "deflection": 0.004896554895654864, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1694", + "improvement_over_parent": null + }, + "node_1696": { + "node_id": "node_1696", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.52 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5218264680383, + "fos_buckling": 1.5241045255071604, + "fos_yielding": 2.0145425683076477, + "deflection": 0.004036644344946194, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_1695", + "improvement_over_parent": null + }, + "node_1697": { + "node_id": "node_1697", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 243)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\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_1699": { + "node_id": "node_1699", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n\nPerformance:\n Mass: 136.00 kg\n Factor of Safety: 0.99\n Max Deflection: 4.74e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.99889908409813, + "fos_buckling": 0.9922607923594118, + "fos_yielding": 1.550769495157951, + "deflection": 4744357538110.92, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002664)" + }, + "parent_node_id": "node_1698", + "improvement_over_parent": null + }, + "node_1700": { + "node_id": "node_1700", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 171.79 kg\n Factor of Safety: 0.49\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.79428857325655, + "fos_buckling": 0.49180801128485896, + "fos_yielding": 1.5300016431159145, + "deflection": 0.011173083505253431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004935)" + }, + "parent_node_id": "node_1699", + "improvement_over_parent": null + }, + "node_1701": { + "node_id": "node_1701", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n\nPerformance:\n Mass: 206.48 kg\n Factor of Safety: 0.90\n Max Deflection: 6.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.47984754436558, + "fos_buckling": 0.8950995899107432, + "fos_yielding": 1.8373766196270365, + "deflection": 0.00619618880280051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004858)" + }, + "parent_node_id": "node_1700", + "improvement_over_parent": null + }, + "node_1702": { + "node_id": "node_1702", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 257.23 kg\n Factor of Safety: 1.07\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": 257.2292239732676, + "fos_buckling": 1.0726616620024891, + "fos_yielding": 2.2864197312931416, + "deflection": 0.004990159116741626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1701", + "improvement_over_parent": null + }, + "node_1703": { + "node_id": "node_1703", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 281.61 kg\n Factor of Safety: 1.43\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": 281.6106959340997, + "fos_buckling": 1.4303801202503468, + "fos_yielding": 2.0101744017836958, + "deflection": 0.004166044077512908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1702", + "improvement_over_parent": null + }, + "node_1704": { + "node_id": "node_1704", + "content": "MODIFICATION: Increase 8 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0100)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 304.18 kg\n Factor of Safety: 1.43\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": 304.1767750185527, + "fos_buckling": 1.4331822511442036, + "fos_yielding": 2.0517103499854725, + "deflection": 0.003917674396620228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.592)" + }, + "parent_node_id": "node_1703", + "improvement_over_parent": null + }, + "node_1705": { + "node_id": "node_1705", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1704", + "improvement_over_parent": null + }, + "node_1706": { + "node_id": "node_1706", + "content": "INITIAL DESIGN (Trace 244)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 175.94 kg\n Factor of Safety: 0.71\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": 175.94459241749237, + "fos_buckling": 0.7119879668514579, + "fos_yielding": 1.7065193934071674, + "deflection": 0.008299620738609868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1707": { + "node_id": "node_1707", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 180.15 kg\n Factor of Safety: 0.71\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.14679464070505, + "fos_buckling": 0.7117817731384902, + "fos_yielding": 1.7065193934071674, + "deflection": 0.008299710070143757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.221)" + }, + "parent_node_id": "node_1706", + "improvement_over_parent": null + }, + "node_1708": { + "node_id": "node_1708", + "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 185.82 kg\n Factor of Safety: 0.71\n Max Deflection: 8.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.8150597062701, + "fos_buckling": 0.7115038317572462, + "fos_yielding": 1.7059179491046697, + "deflection": 0.008302968691980661, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.484)" + }, + "parent_node_id": "node_1707", + "improvement_over_parent": null + }, + "node_1709": { + "node_id": "node_1709", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 220.69 kg\n Factor of Safety: 0.83\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": 220.69142283602292, + "fos_buckling": 0.8282390888995212, + "fos_yielding": 2.0247441747016044, + "deflection": 0.006997185940809585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_1708", + "improvement_over_parent": null + }, + "node_1710": { + "node_id": "node_1710", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 248.10 kg\n Factor of Safety: 0.83\n Max Deflection: 7.00e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.104261797297, + "fos_buckling": 0.8340955419734332, + "fos_yielding": 2.0132071307880337, + "deflection": 0.006995394668804318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004569)" + }, + "parent_node_id": "node_1709", + "improvement_over_parent": null + }, + "node_1711": { + "node_id": "node_1711", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 252.72 kg\n Factor of Safety: 1.22\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.7170972373752, + "fos_buckling": 1.223768230471042, + "fos_yielding": 1.7622060355132017, + "deflection": 0.004713508064726824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002892)" + }, + "parent_node_id": "node_1710", + "improvement_over_parent": null + }, + "node_1712": { + "node_id": "node_1712", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 285.69 kg\n Factor of Safety: 1.36\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": 285.689178712389, + "fos_buckling": 1.3595964360977733, + "fos_yielding": 1.9903035272493947, + "deflection": 0.004176928783419372, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1711", + "improvement_over_parent": null + }, + "node_1713": { + "node_id": "node_1713", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n\nPerformance:\n Mass: 286.71 kg\n Factor of Safety: 1.37\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.7134424153935, + "fos_buckling": 1.37015061175969, + "fos_yielding": 1.986111747064013, + "deflection": 0.0041435803963904266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.221)" + }, + "parent_node_id": "node_1712", + "improvement_over_parent": null + }, + "node_1714": { + "node_id": "node_1714", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1713", + "improvement_over_parent": null + }, + "node_1715": { + "node_id": "node_1715", + "content": "INITIAL DESIGN (Trace 245)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0016)]\n\nPerformance:\n Mass: 97.22 kg\n Factor of Safety: 0.30\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": 97.2196413717031, + "fos_buckling": 0.296757666420182, + "fos_yielding": 0.6945699388451757, + "deflection": 0.02377022890721029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1716": { + "node_id": "node_1716", + "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n\nPerformance:\n Mass: 103.29 kg\n Factor of Safety: 0.30\n Max Deflection: 2.12e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.28687665540095, + "fos_buckling": 0.29663297754343265, + "fos_yielding": 0.6945699388451742, + "deflection": 0.02116709676732496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.634)" + }, + "parent_node_id": "node_1715", + "improvement_over_parent": null + }, + "node_1717": { + "node_id": "node_1717", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n\nPerformance:\n Mass: 119.69 kg\n Factor of Safety: 0.34\n Max Deflection: 1.83e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.6924097397154, + "fos_buckling": 0.3386315770394009, + "fos_yielding": 0.8044772693927925, + "deflection": 0.018286257181790357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_1716", + "improvement_over_parent": null + }, + "node_1718": { + "node_id": "node_1718", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 146.45 kg\n Factor of Safety: 0.38\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": 146.44819861353452, + "fos_buckling": 0.3813505371547179, + "fos_yielding": 1.1475263403822733, + "deflection": 0.012138010747925285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003621)" + }, + "parent_node_id": "node_1717", + "improvement_over_parent": null + }, + "node_1719": { + "node_id": "node_1719", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 189.71 kg\n Factor of Safety: 0.48\n Max Deflection: 9.39e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.7119178534108, + "fos_buckling": 0.47775866379658843, + "fos_yielding": 1.4824740114938266, + "deflection": 0.009393922120679257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_1718", + "improvement_over_parent": null + }, + "node_1720": { + "node_id": "node_1720", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 194.39 kg\n Factor of Safety: 0.48\n Max Deflection: 9.22e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.38897122932048, + "fos_buckling": 0.47760485686229565, + "fos_yielding": 1.482220161282604, + "deflection": 0.009223307135564032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.222)" + }, + "parent_node_id": "node_1719", + "improvement_over_parent": null + }, + "node_1721": { + "node_id": "node_1721", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.34 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.3428536623888, + "fos_buckling": 0.5890507055896846, + "fos_yielding": 1.9030958531745739, + "deflection": 0.007185004317309757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_1720", + "improvement_over_parent": null + }, + "node_1722": { + "node_id": "node_1722", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.54 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.540911599841, + "fos_buckling": 1.5242825100509911, + "fos_yielding": 2.0150617794724326, + "deflection": 0.004036686817469619, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1721", + "improvement_over_parent": null + }, + "node_1723": { + "node_id": "node_1723", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 246)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 204.05 kg\n Factor of Safety: 0.52\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.04849632715016, + "fos_buckling": 0.5231251173311252, + "fos_yielding": 1.3377205553178921, + "deflection": 0.011176378675717117, + "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 4 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 205.45 kg\n Factor of Safety: 0.52\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.447576014037, + "fos_buckling": 0.5231251173311251, + "fos_yielding": 1.3377205553178908, + "deflection": 0.011033401066597311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.272)" + }, + "parent_node_id": "node_1724", + "improvement_over_parent": null + }, + "node_1726": { + "node_id": "node_1726", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.03 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.02950718198286, + "fos_buckling": 0.588404084958055, + "fos_yielding": 1.9001415203879182, + "deflection": 0.007194160714971482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1725", + "improvement_over_parent": null + }, + "node_1727": { + "node_id": "node_1727", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2275651194351, + "fos_buckling": 1.5229056795062847, + "fos_yielding": 2.0124445060046585, + "deflection": 0.004040675114915641, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1726", + "improvement_over_parent": null + }, + "node_1728": { + "node_id": "node_1728", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1727", + "improvement_over_parent": null + }, + "node_1729": { + "node_id": "node_1729", + "content": "INITIAL DESIGN (Trace 247)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 145.72 kg\n Factor of Safety: 0.57\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": 145.71519771162536, + "fos_buckling": 0.5739321400147365, + "fos_yielding": 1.1662922048572972, + "deflection": 0.011565973707712052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1730": { + "node_id": "node_1730", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 175.72 kg\n Factor of Safety: 0.68\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.7207294234843, + "fos_buckling": 0.6794913365046111, + "fos_yielding": 1.4052526095152602, + "deflection": 0.009600576474586526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.217)" + }, + "parent_node_id": "node_1729", + "improvement_over_parent": null + }, + "node_1731": { + "node_id": "node_1731", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 198.06 kg\n Factor of Safety: 0.76\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.05549519747373, + "fos_buckling": 0.7552844506702366, + "fos_yielding": 1.5828591116313353, + "deflection": 0.00852423922921014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_1730", + "improvement_over_parent": null + }, + "node_1732": { + "node_id": "node_1732", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 201.64 kg\n Factor of Safety: 1.11\n Max Deflection: 5.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.6397586206366, + "fos_buckling": 1.11196000982972, + "fos_yielding": 1.3867558966412947, + "deflection": 0.005844906432303244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002206)" + }, + "parent_node_id": "node_1731", + "improvement_over_parent": null + }, + "node_1733": { + "node_id": "node_1733", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 238.75 kg\n Factor of Safety: 1.29\n Max Deflection: 4.95e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.747260497483, + "fos_buckling": 1.2854382905642534, + "fos_yielding": 1.6405844569247767, + "deflection": 0.00494712023121726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_1732", + "improvement_over_parent": null + }, + "node_1734": { + "node_id": "node_1734", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.53 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5337087673186, + "fos_buckling": 1.5241555808207463, + "fos_yielding": 2.014567461538584, + "deflection": 0.004036572817432965, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_1733", + "improvement_over_parent": null + }, + "node_1735": { + "node_id": "node_1735", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1734", + "improvement_over_parent": null + }, + "node_1736": { + "node_id": "node_1736", + "content": "INITIAL DESIGN (Trace 248)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\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_1737": { + "node_id": "node_1737", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 216.18 kg\n Factor of Safety: 0.92\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": 216.18001389070733, + "fos_buckling": 0.9166817135883408, + "fos_yielding": 2.0357363512511375, + "deflection": 0.006656071985924226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004597)" + }, + "parent_node_id": "node_1736", + "improvement_over_parent": null + }, + "node_1738": { + "node_id": "node_1738", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 239.23 kg\n Factor of Safety: 0.97\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": 239.22529130462414, + "fos_buckling": 0.9748360126095842, + "fos_yielding": 2.035736351251138, + "deflection": 0.005443560139741456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004412)" + }, + "parent_node_id": "node_1737", + "improvement_over_parent": null + }, + "node_1739": { + "node_id": "node_1739", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 260.92 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": 260.9223120135216, + "fos_buckling": 1.3845704177272937, + "fos_yielding": 1.7920361119677428, + "deflection": 0.0045324688963684304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004281)" + }, + "parent_node_id": "node_1738", + "improvement_over_parent": null + }, + "node_1740": { + "node_id": "node_1740", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2166565645507, + "fos_buckling": 1.5228532537161064, + "fos_yielding": 2.0123714620417825, + "deflection": 0.004040828185367958, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_1739", + "improvement_over_parent": null + }, + "node_1741": { + "node_id": "node_1741", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1740", + "improvement_over_parent": null + }, + "node_1742": { + "node_id": "node_1742", + "content": "INITIAL DESIGN (Trace 249)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1743": { + "node_id": "node_1743", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 263.63 kg\n Factor of Safety: 1.03\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": 263.62686256509477, + "fos_buckling": 1.0259695030322906, + "fos_yielding": 2.2871342448230174, + "deflection": 0.0058705422963809695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1742", + "improvement_over_parent": null + }, + "node_1744": { + "node_id": "node_1744", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 288.01 kg\n Factor of Safety: 1.04\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": 288.0083345259269, + "fos_buckling": 1.0366379917234143, + "fos_yielding": 2.2959072290957017, + "deflection": 0.005879344908540537, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1743", + "improvement_over_parent": null + }, + "node_1745": { + "node_id": "node_1745", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.222164559741, + "fos_buckling": 1.5228650456808321, + "fos_yielding": 2.012448927507899, + "deflection": 0.004040739517029684, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1744", + "improvement_over_parent": null + }, + "node_1746": { + "node_id": "node_1746", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1745", + "improvement_over_parent": null + }, + "node_1747": { + "node_id": "node_1747", + "content": "INITIAL DESIGN (Trace 250)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1748": { + "node_id": "node_1748", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 268.84 kg\n Factor of Safety: 1.07\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": 268.8410510953092, + "fos_buckling": 1.0721042093965394, + "fos_yielding": 2.287134244823017, + "deflection": 0.004852848294273609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1747", + "improvement_over_parent": null + }, + "node_1749": { + "node_id": "node_1749", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2225230561413, + "fos_buckling": 1.5228696895163494, + "fos_yielding": 2.012447164286147, + "deflection": 0.004040726728707249, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1748", + "improvement_over_parent": null + }, + "node_1750": { + "node_id": "node_1750", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1749", + "improvement_over_parent": null + }, + "node_1751": { + "node_id": "node_1751", + "content": "INITIAL DESIGN (Trace 251)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 204.13 kg\n Factor of Safety: 0.86\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": 204.13336971469727, + "fos_buckling": 0.8606185684401464, + "fos_yielding": 1.8634408789974444, + "deflection": 0.00720835301131849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1752": { + "node_id": "node_1752", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 208.38 kg\n Factor of Safety: 0.91\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": 208.37757886607426, + "fos_buckling": 0.9056661155466469, + "fos_yielding": 1.8634408789974444, + "deflection": 0.006031983910341002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002643)" + }, + "parent_node_id": "node_1751", + "improvement_over_parent": null + }, + "node_1753": { + "node_id": "node_1753", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 255.92 kg\n Factor of Safety: 1.07\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": 255.91969514113313, + "fos_buckling": 1.0725742569058183, + "fos_yielding": 2.2868279297707153, + "deflection": 0.004926625698481394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.250)" + }, + "parent_node_id": "node_1752", + "improvement_over_parent": null + }, + "node_1754": { + "node_id": "node_1754", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 286.90 kg\n Factor of Safety: 1.47\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": 286.8982411902095, + "fos_buckling": 1.465959732367598, + "fos_yielding": 2.010414898449308, + "deflection": 0.004109132514064282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1753", + "improvement_over_parent": null + }, + "node_1755": { + "node_id": "node_1755", + "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0744133252615, + "fos_buckling": 1.5223020940878302, + "fos_yielding": 2.0113188489690783, + "deflection": 0.004042831565690933, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.344)" + }, + "parent_node_id": "node_1754", + "improvement_over_parent": null + }, + "node_1756": { + "node_id": "node_1756", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1755", + "improvement_over_parent": null + }, + "node_1757": { + "node_id": "node_1757", + "content": "INITIAL DESIGN (Trace 252)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 153.77 kg\n Factor of Safety: 0.69\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": 153.77357345982756, + "fos_buckling": 0.6925406752068873, + "fos_yielding": 1.3688085197441573, + "deflection": 0.008211817475192984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1758": { + "node_id": "node_1758", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 170.05 kg\n Factor of Safety: 0.76\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.04879484845668, + "fos_buckling": 0.7568128884127178, + "fos_yielding": 1.5133228982506717, + "deflection": 0.007433474590854499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_1757", + "improvement_over_parent": null + }, + "node_1759": { + "node_id": "node_1759", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 214.91 kg\n Factor of Safety: 0.93\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": 214.91251022749364, + "fos_buckling": 0.9251760529292927, + "fos_yielding": 1.911307424605946, + "deflection": 0.005898293030465151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1758", + "improvement_over_parent": null + }, + "node_1760": { + "node_id": "node_1760", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 218.99 kg\n Factor of Safety: 0.92\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.99143833746805, + "fos_buckling": 0.9249167240624644, + "fos_yielding": 1.911307424605946, + "deflection": 0.0057937872354620595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.181)" + }, + "parent_node_id": "node_1759", + "improvement_over_parent": null + }, + "node_1761": { + "node_id": "node_1761", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 261.87 kg\n Factor of Safety: 1.07\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": 261.86919912799124, + "fos_buckling": 1.0713311090437023, + "fos_yielding": 2.284738299182684, + "deflection": 0.0048582553520567905, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_1760", + "improvement_over_parent": null + }, + "node_1762": { + "node_id": "node_1762", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 292.85 kg\n Factor of Safety: 1.52\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": 292.8477451770676, + "fos_buckling": 1.521361145093356, + "fos_yielding": 2.0094173484073057, + "deflection": 0.004046065370832966, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1761", + "improvement_over_parent": null + }, + "node_1763": { + "node_id": "node_1763", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1762", + "improvement_over_parent": null + }, + "node_1764": { + "node_id": "node_1764", + "content": "INITIAL DESIGN (Trace 253)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 161.31 kg\n Factor of Safety: 0.72\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": 161.3069757070179, + "fos_buckling": 0.7186771594571923, + "fos_yielding": 1.42673621327229, + "deflection": 0.008051085290370791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1765": { + "node_id": "node_1765", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n\nPerformance:\n Mass: 176.50 kg\n Factor of Safety: 0.80\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 176.5032157689438, + "fos_buckling": 0.8022790806219404, + "fos_yielding": 1.2673308341920644, + "deflection": 0.006889569748727585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002925)" + }, + "parent_node_id": "node_1764", + "improvement_over_parent": null + }, + "node_1766": { + "node_id": "node_1766", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n\nPerformance:\n Mass: 181.58 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": 181.5846778024841, + "fos_buckling": 0.8473311576448814, + "fos_yielding": 1.2657701681630056, + "deflection": 0.0066003827807404976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.333)" + }, + "parent_node_id": "node_1765", + "improvement_over_parent": null + }, + "node_1767": { + "node_id": "node_1767", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n\nPerformance:\n Mass: 237.65 kg\n Factor of Safety: 1.09\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": 237.6524064695774, + "fos_buckling": 1.0933544845661174, + "fos_yielding": 1.6541528021771423, + "deflection": 0.005057271792933491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1766", + "improvement_over_parent": null + }, + "node_1768": { + "node_id": "node_1768", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 291.35 kg\n Factor of Safety: 1.32\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.35204573525925, + "fos_buckling": 1.321866727171168, + "fos_yielding": 2.025030658840956, + "deflection": 0.004136073313393542, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_1767", + "improvement_over_parent": null + }, + "node_1769": { + "node_id": "node_1769", + "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0072)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 296.34 kg\n Factor of Safety: 1.28\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": 296.34194469253856, + "fos_buckling": 1.2759366001187287, + "fos_yielding": 2.8198054990629906, + "deflection": 0.0040743974086656295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.585)" + }, + "parent_node_id": "node_1768", + "improvement_over_parent": null + }, + "node_1770": { + "node_id": "node_1770", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1769", + "improvement_over_parent": null + }, + "node_1771": { + "node_id": "node_1771", + "content": "INITIAL DESIGN (Trace 254)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 226.79 kg\n Factor of Safety: 0.85\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.7900939195389, + "fos_buckling": 0.8464812781893178, + "fos_yielding": 1.8182437750905538, + "deflection": 0.0073871727192470205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1772": { + "node_id": "node_1772", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 285.49 kg\n Factor of Safety: 1.03\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": 285.49433552652437, + "fos_buckling": 1.025566882149313, + "fos_yielding": 2.2849765676006157, + "deflection": 0.005880435684770632, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1771", + "improvement_over_parent": null + }, + "node_1773": { + "node_id": "node_1773", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.01 kg\n Factor of Safety: 1.04\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": 288.00995266824157, + "fos_buckling": 1.036635279112097, + "fos_yielding": 2.295876104206483, + "deflection": 0.00587945623030882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.608)" + }, + "parent_node_id": "node_1772", + "improvement_over_parent": null + }, + "node_1774": { + "node_id": "node_1774", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22378270205564, + "fos_buckling": 1.5228547856895847, + "fos_yielding": 2.0124050442100843, + "deflection": 0.004040701319473485, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1773", + "improvement_over_parent": null + }, + "node_1775": { + "node_id": "node_1775", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1774", + "improvement_over_parent": null + }, + "node_1776": { + "node_id": "node_1776", + "content": "INITIAL DESIGN (Trace 255)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 218.34 kg\n Factor of Safety: 0.96\n Max Deflection: 5.41e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.33753636451695, + "fos_buckling": 0.9582121682778878, + "fos_yielding": 2.250614742552751, + "deflection": 5414818394735.781, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1777": { + "node_id": "node_1777", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 244.23 kg\n Factor of Safety: 0.59\n Max Deflection: 7.64e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.23497350690673, + "fos_buckling": 0.5886125539787953, + "fos_yielding": 1.9017397456082759, + "deflection": 0.007644315479492279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1776", + "improvement_over_parent": null + }, + "node_1778": { + "node_id": "node_1778", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0064)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 250.70 kg\n Factor of Safety: 0.59\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.69796029485659, + "fos_buckling": 0.5883516648665978, + "fos_yielding": 1.9012909291591755, + "deflection": 0.007612543652647711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.235)" + }, + "parent_node_id": "node_1777", + "improvement_over_parent": null + }, + "node_1779": { + "node_id": "node_1779", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0064)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.90 kg\n Factor of Safety: 1.48\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": 293.8960182323088, + "fos_buckling": 1.4813560709331246, + "fos_yielding": 1.9982939205485657, + "deflection": 0.004051574382641878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1778", + "improvement_over_parent": null + }, + "node_1780": { + "node_id": "node_1780", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1779", + "improvement_over_parent": null + }, + "node_1781": { + "node_id": "node_1781", + "content": "INITIAL DESIGN (Trace 256)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\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_1782": { + "node_id": "node_1782", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n\nPerformance:\n Mass: 199.72 kg\n Factor of Safety: 0.86\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": 199.72235648203636, + "fos_buckling": 0.8554817916878086, + "fos_yielding": 1.7434352942299194, + "deflection": 0.006345077412917002, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003620)" + }, + "parent_node_id": "node_1781", + "improvement_over_parent": null + }, + "node_1783": { + "node_id": "node_1783", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 223.01 kg\n Factor of Safety: 0.94\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.0136709501264, + "fos_buckling": 0.9391412105055822, + "fos_yielding": 1.9463829694964843, + "deflection": 0.0056907771844974244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_1782", + "improvement_over_parent": null + }, + "node_1784": { + "node_id": "node_1784", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 262.20 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.19993803397057, + "fos_buckling": 1.0724323501095834, + "fos_yielding": 2.2876569296854123, + "deflection": 0.004852261711098756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1783", + "improvement_over_parent": null + }, + "node_1785": { + "node_id": "node_1785", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.18 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.17848408304695, + "fos_buckling": 1.522704584899603, + "fos_yielding": 2.012061625094414, + "deflection": 0.004041376529212083, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1784", + "improvement_over_parent": null + }, + "node_1786": { + "node_id": "node_1786", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1785", + "improvement_over_parent": null + }, + "node_1787": { + "node_id": "node_1787", + "content": "INITIAL DESIGN (Trace 257)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 252.10 kg\n Factor of Safety: 1.01\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": 252.10036870031033, + "fos_buckling": 1.0078613611884708, + "fos_yielding": 1.5866052266417994, + "deflection": 0.005881936417689234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1788": { + "node_id": "node_1788", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 285.01 kg\n Factor of Safety: 1.04\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": 285.0129053319273, + "fos_buckling": 1.0441828570341702, + "fos_yielding": 1.6153117295456665, + "deflection": 0.00587803507577859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1787", + "improvement_over_parent": null + }, + "node_1789": { + "node_id": "node_1789", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 290.23 kg\n Factor of Safety: 1.22\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.2267353657414, + "fos_buckling": 1.2217785198313296, + "fos_yielding": 1.4238867231324877, + "deflection": 0.004123495621156214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_1788", + "improvement_over_parent": null + }, + "node_1790": { + "node_id": "node_1790", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0091)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 307.92 kg\n Factor of Safety: 1.22\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": 307.92238654267214, + "fos_buckling": 1.2204421833043915, + "fos_yielding": 1.42232932806664, + "deflection": 0.003921196429498715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.473)" + }, + "parent_node_id": "node_1789", + "improvement_over_parent": null + }, + "node_1791": { + "node_id": "node_1791", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 198.53 kg\n Factor of Safety: 0.81\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": 198.53049207938443, + "fos_buckling": 0.8096586666289851, + "fos_yielding": 1.1910727374201302, + "deflection": 0.006667593385106434, + "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: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n\nPerformance:\n Mass: 212.86 kg\n Factor of Safety: 1.05\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": 212.86127609295022, + "fos_buckling": 1.0484763560281274, + "fos_yielding": 1.1983104288074173, + "deflection": 0.005504066952026684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002660)" + }, + "parent_node_id": "node_1792", + "improvement_over_parent": null + }, + "node_1794": { + "node_id": "node_1794", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n\nPerformance:\n Mass: 218.15 kg\n Factor of Safety: 1.04\n Max Deflection: 5.42e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.15266300099583, + "fos_buckling": 1.0379118134017127, + "fos_yielding": 1.1862361445071294, + "deflection": 0.0054188816058171494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.416)" + }, + "parent_node_id": "node_1793", + "improvement_over_parent": null + }, + "node_1795": { + "node_id": "node_1795", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n\nPerformance:\n Mass: 255.40 kg\n Factor of Safety: 1.20\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.39907987857904, + "fos_buckling": 1.1968197285026847, + "fos_yielding": 1.3915959091440164, + "deflection": 0.00463812045497657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_1794", + "improvement_over_parent": null + }, + "node_1796": { + "node_id": "node_1796", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 283.83 kg\n Factor of Safety: 1.31\n Max Deflection: 4.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.82932651947806, + "fos_buckling": 1.3144797353313238, + "fos_yielding": 1.549055623474242, + "deflection": 0.0041800538144154175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1795", + "improvement_over_parent": null + }, + "node_1797": { + "node_id": "node_1797", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 286.31 kg\n Factor of Safety: 1.31\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.3063303916094, + "fos_buckling": 1.314805110938677, + "fos_yielding": 1.5494390640863445, + "deflection": 0.004147128518415606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.403)" + }, + "parent_node_id": "node_1796", + "improvement_over_parent": null + }, + "node_1798": { + "node_id": "node_1798", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0054)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0083)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 299.16 kg\n Factor of Safety: 1.31\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": 299.1622256608898, + "fos_buckling": 1.3137452617433347, + "fos_yielding": 1.548190079174709, + "deflection": 0.003978514265083553, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.339)" + }, + "parent_node_id": "node_1797", + "improvement_over_parent": null + }, + "node_1799": { + "node_id": "node_1799", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1798", + "improvement_over_parent": null + }, + "node_1800": { + "node_id": "node_1800", + "content": "INITIAL DESIGN (Trace 259)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0019)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 157.55 kg\n Factor of Safety: 0.88\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.54724556572418, + "fos_buckling": 0.877241635749294, + "fos_yielding": 1.1387827434404492, + "deflection": 0.007385249334886795, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1801": { + "node_id": "node_1801", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 203.05 kg\n Factor of Safety: 1.10\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": 203.04790253663788, + "fos_buckling": 1.0977285667958747, + "fos_yielding": 1.4655006661233179, + "deflection": 0.005745975351071538, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1800", + "improvement_over_parent": null + }, + "node_1802": { + "node_id": "node_1802", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 230.28 kg\n Factor of Safety: 1.22\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.27652973665639, + "fos_buckling": 1.2227360968800007, + "fos_yielding": 1.660525132191403, + "deflection": 0.005074833004195718, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1801", + "improvement_over_parent": null + }, + "node_1803": { + "node_id": "node_1803", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.47 kg\n Factor of Safety: 1.45\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": 283.4737044667884, + "fos_buckling": 1.4521082650659314, + "fos_yielding": 2.0404497112455466, + "deflection": 0.0041356410475823216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_1802", + "improvement_over_parent": null + }, + "node_1804": { + "node_id": "node_1804", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.03 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.03093603407905, + "fos_buckling": 1.5220508729624174, + "fos_yielding": 2.0112429001767347, + "deflection": 0.004043255984678843, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.490)" + }, + "parent_node_id": "node_1803", + "improvement_over_parent": null + }, + "node_1805": { + "node_id": "node_1805", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1804", + "improvement_over_parent": null + }, + "node_1806": { + "node_id": "node_1806", + "content": "INITIAL DESIGN (Trace 260)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 161.29 kg\n Factor of Safety: 0.38\n Max Deflection: 1.13e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.2871110286279, + "fos_buckling": 0.38447453114236413, + "fos_yielding": 1.3763725854534818, + "deflection": 11338862546373.762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1807": { + "node_id": "node_1807", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 165.45 kg\n Factor of Safety: 1.27\n Max Deflection: 2.34e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.4491716875803, + "fos_buckling": 1.271775175806511, + "fos_yielding": 3.2627660996805012, + "deflection": 23408283092849.035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002588)" + }, + "parent_node_id": "node_1806", + "improvement_over_parent": null + }, + "node_1808": { + "node_id": "node_1808", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n\nPerformance:\n Mass: 187.12 kg\n Factor of Safety: 0.49\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.11845487083693, + "fos_buckling": 0.48872884642054654, + "fos_yielding": 1.5221566666799902, + "deflection": 0.009542324658012292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003431)" + }, + "parent_node_id": "node_1807", + "improvement_over_parent": null + }, + "node_1809": { + "node_id": "node_1809", + "content": "MODIFICATION: Increase 0 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n\nPerformance:\n Mass: 194.97 kg\n Factor of Safety: 0.49\n Max Deflection: 9.55e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.9703497931286, + "fos_buckling": 0.48846471058999175, + "fos_yielding": 1.521718993747494, + "deflection": 0.009546459349633952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.437)" + }, + "parent_node_id": "node_1808", + "improvement_over_parent": null + }, + "node_1810": { + "node_id": "node_1810", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 229.44 kg\n Factor of Safety: 1.23\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": 229.44337973705063, + "fos_buckling": 1.2315155172458911, + "fos_yielding": 1.6076990457382543, + "deflection": 0.005111255358436029, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004826)" + }, + "parent_node_id": "node_1809", + "improvement_over_parent": null + }, + "node_1811": { + "node_id": "node_1811", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0032)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 230.31 kg\n Factor of Safety: 1.24\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": 230.31475313458319, + "fos_buckling": 1.2408665431279269, + "fos_yielding": 1.604183238327011, + "deflection": 0.00507240970185975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.229)" + }, + "parent_node_id": "node_1810", + "improvement_over_parent": null + }, + "node_1812": { + "node_id": "node_1812", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0041)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 288.50 kg\n Factor of Safety: 1.49\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": 288.50125477132525, + "fos_buckling": 1.4948559323037909, + "fos_yielding": 2.006424642404542, + "deflection": 0.004063959255330598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_1811", + "improvement_over_parent": null + }, + "node_1813": { + "node_id": "node_1813", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1812", + "improvement_over_parent": null + }, + "node_1814": { + "node_id": "node_1814", + "content": "INITIAL DESIGN (Trace 261)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 199.50 kg\n Factor of Safety: 0.86\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": 199.49897255908525, + "fos_buckling": 0.8612382121689315, + "fos_yielding": 1.345114725762902, + "deflection": 0.0062961052832572854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1815": { + "node_id": "node_1815", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 259.89 kg\n Factor of Safety: 1.07\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": 259.8911879532701, + "fos_buckling": 1.0723892782989823, + "fos_yielding": 1.76147282830477, + "deflection": 0.004852500761308925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1814", + "improvement_over_parent": null + }, + "node_1816": { + "node_id": "node_1816", + "content": "MODIFICATION: Increase 6 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.18 kg\n Factor of Safety: 1.07\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": 262.18402275960125, + "fos_buckling": 1.0723892782989823, + "fos_yielding": 2.2875531487589504, + "deflection": 0.004852500761308925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.328)" + }, + "parent_node_id": "node_1815", + "improvement_over_parent": null + }, + "node_1817": { + "node_id": "node_1817", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.16256880867763, + "fos_buckling": 1.5226349449072871, + "fos_yielding": 2.0119736782629865, + "deflection": 0.004041586472220695, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_1816", + "improvement_over_parent": null + }, + "node_1818": { + "node_id": "node_1818", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1817", + "improvement_over_parent": null + }, + "node_1819": { + "node_id": "node_1819", + "content": "INITIAL DESIGN (Trace 262)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 170.28 kg\n Factor of Safety: 1.25\n Max Deflection: 1.26e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.2799948536058, + "fos_buckling": 1.2530930997929663, + "fos_yielding": 1.5013346206713252, + "deflection": 12590148261825.582, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1820": { + "node_id": "node_1820", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 208.55 kg\n Factor of Safety: 0.89\n Max Deflection: 6.90e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.5497725465092, + "fos_buckling": 0.8896782008948688, + "fos_yielding": 1.9640316403680698, + "deflection": 0.006895562065774457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005304)" + }, + "parent_node_id": "node_1819", + "improvement_over_parent": null + }, + "node_1821": { + "node_id": "node_1821", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 230.78 kg\n Factor of Safety: 0.95\n Max Deflection: 5.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.7795118618423, + "fos_buckling": 0.9461857000710142, + "fos_yielding": 1.9640316403680704, + "deflection": 0.005639733619848488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004243)" + }, + "parent_node_id": "node_1820", + "improvement_over_parent": null + }, + "node_1822": { + "node_id": "node_1822", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 268.81 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 268.80600801503346, + "fos_buckling": 1.0720037119939732, + "fos_yielding": 2.286830166815956, + "deflection": 0.004853460043048392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_1821", + "improvement_over_parent": null + }, + "node_1823": { + "node_id": "node_1823", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1874799758656, + "fos_buckling": 1.5227502691358084, + "fos_yielding": 2.012171435944817, + "deflection": 0.004041215422538498, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1822", + "improvement_over_parent": null + }, + "node_1824": { + "node_id": "node_1824", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1823", + "improvement_over_parent": null + }, + "node_1825": { + "node_id": "node_1825", + "content": "INITIAL DESIGN (Trace 263)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0017)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 122.25 kg\n Factor of Safety: 0.54\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.24867767013927, + "fos_buckling": 0.5389273423735338, + "fos_yielding": 0.9850624929221067, + "deflection": 0.010412831949555749, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1826": { + "node_id": "node_1826", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 139.07 kg\n Factor of Safety: 0.61\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": 139.06571160206107, + "fos_buckling": 0.6055584716322896, + "fos_yielding": 1.1199114118805653, + "deflection": 0.009163764463609673, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1825", + "improvement_over_parent": null + }, + "node_1827": { + "node_id": "node_1827", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 143.66 kg\n Factor of Safety: 0.61\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": 143.65835154982884, + "fos_buckling": 0.6053664046112729, + "fos_yielding": 1.1061721962412652, + "deflection": 0.009007237990807174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.385)" + }, + "parent_node_id": "node_1826", + "improvement_over_parent": null + }, + "node_1828": { + "node_id": "node_1828", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n\nPerformance:\n Mass: 161.83 kg\n Factor of Safety: 0.92\n Max Deflection: 7.27e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.82918312277457, + "fos_buckling": 0.9151304183851543, + "fos_yielding": 1.1139599490577465, + "deflection": 0.007265826086630722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.002850)" + }, + "parent_node_id": "node_1827", + "improvement_over_parent": null + }, + "node_1829": { + "node_id": "node_1829", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 185.58 kg\n Factor of Safety: 1.03\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.57600827573845, + "fos_buckling": 1.0338389796185874, + "fos_yielding": 1.2767375800652285, + "deflection": 0.006344850784014932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_1828", + "improvement_over_parent": null + }, + "node_1830": { + "node_id": "node_1830", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n\nPerformance:\n Mass: 205.47 kg\n Factor of Safety: 1.13\n Max Deflection: 5.74e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.46672222253957, + "fos_buckling": 1.1302387338890891, + "fos_yielding": 1.4129483984163265, + "deflection": 0.005737264234883087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1829", + "improvement_over_parent": null + }, + "node_1831": { + "node_id": "node_1831", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 233.02 kg\n Factor of Safety: 1.26\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.01762648870093, + "fos_buckling": 1.2592154432135392, + "fos_yielding": 1.6014140052414556, + "deflection": 0.005067029869637414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_1830", + "improvement_over_parent": null + }, + "node_1832": { + "node_id": "node_1832", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29548221500215, + "fos_buckling": 1.5230912101699534, + "fos_yielding": 2.012936881664644, + "deflection": 0.004039759528896483, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1831", + "improvement_over_parent": null + }, + "node_1833": { + "node_id": "node_1833", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1832", + "improvement_over_parent": null + }, + "node_1834": { + "node_id": "node_1834", + "content": "INITIAL DESIGN (Trace 264)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 216.60 kg\n Factor of Safety: 1.02\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.59782083689333, + "fos_buckling": 1.0204119235322788, + "fos_yielding": 1.557162372501328, + "deflection": 0.005569917848511572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1835": { + "node_id": "node_1835", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 275.52 kg\n Factor of Safety: 1.26\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": 275.5166787302032, + "fos_buckling": 1.2629940754641136, + "fos_yielding": 1.9764548696028181, + "deflection": 0.004390973006902381, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_1834", + "improvement_over_parent": null + }, + "node_1836": { + "node_id": "node_1836", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 281.59 kg\n Factor of Safety: 1.27\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.59097268698457, + "fos_buckling": 1.2650192342490916, + "fos_yielding": 1.975317266070956, + "deflection": 0.004270716770046894, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.239)" + }, + "parent_node_id": "node_1835", + "improvement_over_parent": null + }, + "node_1837": { + "node_id": "node_1837", + "content": "MODIFICATION: Increase 10 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.17 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.171132646649, + "fos_buckling": 1.5229157993221816, + "fos_yielding": 2.0119076967823983, + "deflection": 0.004041359018931819, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.385)" + }, + "parent_node_id": "node_1836", + "improvement_over_parent": null + }, + "node_1838": { + "node_id": "node_1838", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1837", + "improvement_over_parent": null + }, + "node_1839": { + "node_id": "node_1839", + "content": "INITIAL DESIGN (Trace 265)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n\nPerformance:\n Mass: 149.95 kg\n Factor of Safety: 0.40\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": 149.95478918824895, + "fos_buckling": 0.3971915894875089, + "fos_yielding": 1.1358069944190143, + "deflection": 0.011466587305386987, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1840": { + "node_id": "node_1840", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 171.30 kg\n Factor of Safety: 0.45\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": 171.302148814775, + "fos_buckling": 0.4450283311390788, + "fos_yielding": 1.296221461050745, + "deflection": 0.01005298088525026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_1839", + "improvement_over_parent": null + }, + "node_1841": { + "node_id": "node_1841", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 198.37 kg\n Factor of Safety: 0.44\n Max Deflection: 9.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.37432073612572, + "fos_buckling": 0.44419923954509155, + "fos_yielding": 1.2954708982148369, + "deflection": 0.009200564245755051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004352)" + }, + "parent_node_id": "node_1840", + "improvement_over_parent": null + }, + "node_1842": { + "node_id": "node_1842", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 241.11 kg\n Factor of Safety: 0.52\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": 241.11243018026826, + "fos_buckling": 0.5215412002716944, + "fos_yielding": 1.5717621974570488, + "deflection": 0.007590006213774132, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_1841", + "improvement_over_parent": null + }, + "node_1843": { + "node_id": "node_1843", + "content": "MODIFICATION: Increase 2 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 248.49 kg\n Factor of Safety: 0.52\n Max Deflection: 7.53e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.4896288605571, + "fos_buckling": 0.5212773006327077, + "fos_yielding": 1.5715145676789386, + "deflection": 0.0075255652593857495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.437)" + }, + "parent_node_id": "node_1842", + "improvement_over_parent": null + }, + "node_1844": { + "node_id": "node_1844", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.071560028503, + "fos_buckling": 1.522690350142599, + "fos_yielding": 2.011110783226767, + "deflection": 0.004042822128756682, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1843", + "improvement_over_parent": null + }, + "node_1845": { + "node_id": "node_1845", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1844", + "improvement_over_parent": null + }, + "node_1846": { + "node_id": "node_1846", + "content": "INITIAL DESIGN (Trace 266)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 217.12 kg\n Factor of Safety: 0.96\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": 217.11950545980918, + "fos_buckling": 0.9582121682778878, + "fos_yielding": 1.7911069295277282, + "deflection": 6481600394992.692, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1847": { + "node_id": "node_1847", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 244.92 kg\n Factor of Safety: 0.59\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.92295709178399, + "fos_buckling": 0.588610286532426, + "fos_yielding": 1.90159639333083, + "deflection": 0.007581022608865122, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004479)" + }, + "parent_node_id": "node_1846", + "improvement_over_parent": null + }, + "node_1848": { + "node_id": "node_1848", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0063)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 250.50 kg\n Factor of Safety: 0.59\n Max Deflection: 7.55e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.49714959377795, + "fos_buckling": 0.5883852728342637, + "fos_yielding": 1.9012093442095372, + "deflection": 0.0075530583849407334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.202)" + }, + "parent_node_id": "node_1847", + "improvement_over_parent": null + }, + "node_1849": { + "node_id": "node_1849", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0063)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.70 kg\n Factor of Safety: 1.49\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": 293.69520753123015, + "fos_buckling": 1.4871604670597864, + "fos_yielding": 2.000036877788976, + "deflection": 0.004049610770384008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1848", + "improvement_over_parent": null + }, + "node_1850": { + "node_id": "node_1850", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1849", + "improvement_over_parent": null + }, + "node_1851": { + "node_id": "node_1851", + "content": "INITIAL DESIGN (Trace 267)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 141.29 kg\n Factor of Safety: 0.60\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.29177675572924, + "fos_buckling": 0.6013841684740228, + "fos_yielding": 1.0979547687291182, + "deflection": 0.009072431477942162, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1852": { + "node_id": "node_1852", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 185.42 kg\n Factor of Safety: 0.76\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": 185.42060937146675, + "fos_buckling": 0.7641871171722507, + "fos_yielding": 1.4386927453225684, + "deflection": 0.0069351228588074, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_1851", + "improvement_over_parent": null + }, + "node_1853": { + "node_id": "node_1853", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 222.88 kg\n Factor of Safety: 0.89\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": 222.88074217946124, + "fos_buckling": 0.8931965977389285, + "fos_yielding": 1.7270922286669776, + "deflection": 0.005785100183251601, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_1852", + "improvement_over_parent": null + }, + "node_1854": { + "node_id": "node_1854", + "content": "MODIFICATION: Increase 7 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 230.80 kg\n Factor of Safety: 0.89\n Max Deflection: 5.79e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.802032594858, + "fos_buckling": 0.8927107713815078, + "fos_yielding": 1.7269123913761777, + "deflection": 0.005787938819840359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.418)" + }, + "parent_node_id": "node_1853", + "improvement_over_parent": null + }, + "node_1855": { + "node_id": "node_1855", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.36 kg\n Factor of Safety: 1.01\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": 267.35874200515025, + "fos_buckling": 1.00680144992851, + "fos_yielding": 1.9986688980959286, + "deflection": 0.005007797211945753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_1854", + "improvement_over_parent": null + }, + "node_1856": { + "node_id": "node_1856", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25617914754, + "fos_buckling": 1.5231109959685534, + "fos_yielding": 2.0127929524050203, + "deflection": 0.004040174000204822, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1855", + "improvement_over_parent": null + }, + "node_1857": { + "node_id": "node_1857", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1856", + "improvement_over_parent": null + }, + "node_1858": { + "node_id": "node_1858", + "content": "INITIAL DESIGN (Trace 268)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 179.92 kg\n Factor of Safety: 0.66\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": 179.91729939587879, + "fos_buckling": 0.655795923278408, + "fos_yielding": 1.0204399507405684, + "deflection": 0.006801663654121705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1859": { + "node_id": "node_1859", + "content": "MODIFICATION: Increase 4 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 180.40 kg\n Factor of Safety: 0.77\n Max Deflection: 6.73e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.40192842114246, + "fos_buckling": 0.7666763801134481, + "fos_yielding": 1.206368641317402, + "deflection": 0.006728146340153196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.202)" + }, + "parent_node_id": "node_1858", + "improvement_over_parent": null + }, + "node_1860": { + "node_id": "node_1860", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 189.11 kg\n Factor of Safety: 0.80\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.11220909630273, + "fos_buckling": 0.8038393259742844, + "fos_yielding": 1.2648446993627216, + "deflection": 0.00628925154544906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.475)" + }, + "parent_node_id": "node_1859", + "improvement_over_parent": null + }, + "node_1861": { + "node_id": "node_1861", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 227.92 kg\n Factor of Safety: 0.96\n Max Deflection: 5.23e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.92470717696108, + "fos_buckling": 0.9571379490683322, + "fos_yielding": 1.5282150886242205, + "deflection": 0.005229284223694772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_1860", + "improvement_over_parent": null + }, + "node_1862": { + "node_id": "node_1862", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 257.99 kg\n Factor of Safety: 1.07\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": 257.9871039642877, + "fos_buckling": 1.0731317786868981, + "fos_yielding": 1.7333497980416888, + "deflection": 0.004627442248132511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_1861", + "improvement_over_parent": null + }, + "node_1863": { + "node_id": "node_1863", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 260.16 kg\n Factor of Safety: 1.38\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": 260.1625138040723, + "fos_buckling": 1.3811580077602665, + "fos_yielding": 1.7867550649007589, + "deflection": 0.004545427352768488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.577)" + }, + "parent_node_id": "node_1862", + "improvement_over_parent": null + }, + "node_1864": { + "node_id": "node_1864", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.30954538615794, + "fos_buckling": 1.5231636437671283, + "fos_yielding": 2.0129012938774795, + "deflection": 0.004039501492169839, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_1863", + "improvement_over_parent": null + }, + "node_1865": { + "node_id": "node_1865", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1864", + "improvement_over_parent": null + }, + "node_1866": { + "node_id": "node_1866", + "content": "INITIAL DESIGN (Trace 269)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0018)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 133.40 kg\n Factor of Safety: 0.60\n Max Deflection: 9.03e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.3956666658229, + "fos_buckling": 0.5967693776983751, + "fos_yielding": 0.9714247747849613, + "deflection": 0.009025135420639617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1867": { + "node_id": "node_1867", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 157.46 kg\n Factor of Safety: 0.70\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.46333963864024, + "fos_buckling": 0.6982615611426003, + "fos_yielding": 1.1457139006375545, + "deflection": 0.0076544167859399015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 186.49 kg\n Factor of Safety: 0.82\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.4914725396377, + "fos_buckling": 0.8181524648806513, + "fos_yielding": 1.3555128080385888, + "deflection": 0.006471818029462588, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_1867", + "improvement_over_parent": null + }, + "node_1869": { + "node_id": "node_1869", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 213.90 kg\n Factor of Safety: 0.93\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.90358391589004, + "fos_buckling": 0.9288356863904074, + "fos_yielding": 1.5532111389553027, + "deflection": 0.005649668976788181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_1868", + "improvement_over_parent": null + }, + "node_1870": { + "node_id": "node_1870", + "content": "MODIFICATION: Increase 7 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 225.61 kg\n Factor of Safety: 1.23\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": 225.61335092760592, + "fos_buckling": 1.2251469240054862, + "fos_yielding": 1.5507799020048547, + "deflection": 0.005231064435298684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.582)" + }, + "parent_node_id": "node_1869", + "improvement_over_parent": null + }, + "node_1871": { + "node_id": "node_1871", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.04 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.03976558345096, + "fos_buckling": 1.5221160484766223, + "fos_yielding": 2.0111840674270596, + "deflection": 0.004043220519276997, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_1870", + "improvement_over_parent": null + }, + "node_1872": { + "node_id": "node_1872", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1871", + "improvement_over_parent": null + }, + "node_1873": { + "node_id": "node_1873", + "content": "INITIAL DESIGN (Trace 270)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 176.65 kg\n Factor of Safety: 0.84\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": 176.65023741255357, + "fos_buckling": 0.8422306501536715, + "fos_yielding": 1.2794262117356692, + "deflection": 0.00808589603588185, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1874": { + "node_id": "node_1874", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 193.30 kg\n Factor of Safety: 0.84\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.29979770774835, + "fos_buckling": 0.8412656154129552, + "fos_yielding": 1.1162063536603883, + "deflection": 0.006684769273026496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003222)" + }, + "parent_node_id": "node_1873", + "improvement_over_parent": null + }, + "node_1875": { + "node_id": "node_1875", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 219.74 kg\n Factor of Safety: 0.99\n Max Deflection: 5.57e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.73588565938013, + "fos_buckling": 0.9862036040462465, + "fos_yielding": 1.122482348843965, + "deflection": 0.0055736954964455375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004242)" + }, + "parent_node_id": "node_1874", + "improvement_over_parent": null + }, + "node_1876": { + "node_id": "node_1876", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 273.87 kg\n Factor of Safety: 1.21\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": 273.87439496957256, + "fos_buckling": 1.2051469935765255, + "fos_yielding": 1.404875813045915, + "deflection": 0.0044815035337520265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.269)" + }, + "parent_node_id": "node_1875", + "improvement_over_parent": null + }, + "node_1877": { + "node_id": "node_1877", + "content": "MODIFICATION: Increase 6 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0091)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 291.39 kg\n Factor of Safety: 1.20\n Max Deflection: 4.27e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.39471577580474, + "fos_buckling": 1.2039406951123683, + "fos_yielding": 1.4034695949292524, + "deflection": 0.004271017703688009, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.468)" + }, + "parent_node_id": "node_1876", + "improvement_over_parent": null + }, + "node_1878": { + "node_id": "node_1878", + "content": "MODIFICATION: Increase 3 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0091)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 292.24 kg\n Factor of Safety: 1.20\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.2392588466853, + "fos_buckling": 1.2041843350999188, + "fos_yielding": 1.4037536133331687, + "deflection": 0.004245533719588334, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.189)" + }, + "parent_node_id": "node_1877", + "improvement_over_parent": null + }, + "node_1879": { + "node_id": "node_1879", + "content": "MODIFICATION: Increase 4 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0091)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 294.55 kg\n Factor of Safety: 1.20\n Max Deflection: 4.19e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.5465517373357, + "fos_buckling": 1.200200214631837, + "fos_yielding": 1.399109205213908, + "deflection": 0.004192525623242669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.513)" + }, + "parent_node_id": "node_1878", + "improvement_over_parent": null + }, + "node_1880": { + "node_id": "node_1880", + "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0050)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0091)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 305.11 kg\n Factor of Safety: 1.22\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": 305.1113622645193, + "fos_buckling": 1.2241142235690858, + "fos_yielding": 1.4269864790468711, + "deflection": 0.003935553148403648, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.473)" + }, + "parent_node_id": "node_1879", + "improvement_over_parent": null + }, + "node_1881": { + "node_id": "node_1881", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1880", + "improvement_over_parent": null + }, + "node_1882": { + "node_id": "node_1882", + "content": "INITIAL DESIGN (Trace 271)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 149.77 kg\n Factor of Safety: 1.22\n Max Deflection: 8.48e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.76867933663436, + "fos_buckling": 1.2237418801638273, + "fos_yielding": 1.7716277089088355, + "deflection": 8481211882966.63, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1883": { + "node_id": "node_1883", + "content": "MODIFICATION: Increase 1 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 157.59 kg\n Factor of Safety: 1.04\n Max Deflection: 7.45e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.58732752179222, + "fos_buckling": 1.0408568086284444, + "fos_yielding": 1.7716277089088355, + "deflection": 7453484374078.557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.433)" + }, + "parent_node_id": "node_1882", + "improvement_over_parent": null + }, + "node_1884": { + "node_id": "node_1884", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 181.56 kg\n Factor of Safety: 0.29\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": 181.55577598988606, + "fos_buckling": 0.2862557025918752, + "fos_yielding": 1.1116979891001038, + "deflection": 0.011504447636266613, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003953)" + }, + "parent_node_id": "node_1883", + "improvement_over_parent": null + }, + "node_1885": { + "node_id": "node_1885", + "content": "MODIFICATION: Increase 2 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 184.42 kg\n Factor of Safety: 0.29\n Max Deflection: 1.15e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.42397984775965, + "fos_buckling": 0.2861991444587477, + "fos_yielding": 1.1025623211313162, + "deflection": 0.011475616850234217, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.179)" + }, + "parent_node_id": "node_1884", + "improvement_over_parent": null + }, + "node_1886": { + "node_id": "node_1886", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 191.07 kg\n Factor of Safety: 0.42\n Max Deflection: 1.01e-02 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.069835789612, + "fos_buckling": 0.4217036056335981, + "fos_yielding": 1.1020385913810407, + "deflection": 0.010122304071251063, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.582)" + }, + "parent_node_id": "node_1885", + "improvement_over_parent": null + }, + "node_1887": { + "node_id": "node_1887", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 225.56 kg\n Factor of Safety: 1.07\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.55983243373447, + "fos_buckling": 1.074840429820853, + "fos_yielding": 1.5683828722085162, + "deflection": 0.005313723523117608, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004742)" + }, + "parent_node_id": "node_1886", + "improvement_over_parent": null + }, + "node_1888": { + "node_id": "node_1888", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.55 kg\n Factor of Safety: 1.36\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.5522442407098, + "fos_buckling": 1.3635845578572294, + "fos_yielding": 2.023745507507514, + "deflection": 0.004124628059015103, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_1887", + "improvement_over_parent": null + }, + "node_1889": { + "node_id": "node_1889", + "content": "MODIFICATION: Increase 5 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22269010021375, + "fos_buckling": 1.5225902486352072, + "fos_yielding": 2.012176846390872, + "deflection": 0.004040671393116422, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.517)" + }, + "parent_node_id": "node_1888", + "improvement_over_parent": null + }, + "node_1890": { + "node_id": "node_1890", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 272)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 145.64 kg\n Factor of Safety: 0.70\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": 145.64382877166088, + "fos_buckling": 0.7011258265454267, + "fos_yielding": 1.2739665408611993, + "deflection": 0.010053827134388554, + "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 165.78 kg\n Factor of Safety: 0.70\n Max Deflection: 8.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.77696903380303, + "fos_buckling": 0.7001524393819494, + "fos_yielding": 1.119686828600197, + "deflection": 0.008706472727031943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003283)" + }, + "parent_node_id": "node_1891", + "improvement_over_parent": null + }, + "node_1893": { + "node_id": "node_1893", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 200.49 kg\n Factor of Safety: 0.82\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.48960683218277, + "fos_buckling": 0.8249947826927971, + "fos_yielding": 1.3549665891979916, + "deflection": 0.007206244234672486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1892", + "improvement_over_parent": null + }, + "node_1894": { + "node_id": "node_1894", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 208.90 kg\n Factor of Safety: 0.82\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": 208.89938461502967, + "fos_buckling": 0.824517729547832, + "fos_yielding": 1.3548167169938627, + "deflection": 0.006396607378627669, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.493)" + }, + "parent_node_id": "node_1893", + "improvement_over_parent": null + }, + "node_1895": { + "node_id": "node_1895", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 229.24 kg\n Factor of Safety: 1.18\n Max Deflection: 5.17e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.23651016301483, + "fos_buckling": 1.175804249822485, + "fos_yielding": 1.3644534132453496, + "deflection": 0.005165660395316742, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003855)" + }, + "parent_node_id": "node_1894", + "improvement_over_parent": null + }, + "node_1896": { + "node_id": "node_1896", + "content": "MODIFICATION: Increase 6 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0056)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 234.79 kg\n Factor of Safety: 1.18\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": 234.78947513942796, + "fos_buckling": 1.1752340079304935, + "fos_yielding": 1.3637916802264216, + "deflection": 0.005044549274018333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.178)" + }, + "parent_node_id": "node_1895", + "improvement_over_parent": null + }, + "node_1897": { + "node_id": "node_1897", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0073)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 298.78 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": 298.77814916385296, + "fos_buckling": 1.4513891831850134, + "fos_yielding": 1.7396671930368652, + "deflection": 0.00397831533087575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_1896", + "improvement_over_parent": null + }, + "node_1898": { + "node_id": "node_1898", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1897", + "improvement_over_parent": null + }, + "node_1899": { + "node_id": "node_1899", + "content": "INITIAL DESIGN (Trace 273)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 216.46 kg\n Factor of Safety: 0.92\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.45764015679362, + "fos_buckling": 0.9178926533622548, + "fos_yielding": 1.893348158209976, + "deflection": 0.005939175296948659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1900": { + "node_id": "node_1900", + "content": "MODIFICATION: Increase 7 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 222.45 kg\n Factor of Safety: 0.92\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": 222.4506024106471, + "fos_buckling": 0.9175147263179522, + "fos_yielding": 1.893348158209976, + "deflection": 0.005847801605750473, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.304)" + }, + "parent_node_id": "node_1899", + "improvement_over_parent": null + }, + "node_1901": { + "node_id": "node_1901", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.84 kg\n Factor of Safety: 1.07\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": 268.8380081403548, + "fos_buckling": 1.0721146803770965, + "fos_yielding": 2.2871605700204207, + "deflection": 0.004852862480215319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_1900", + "improvement_over_parent": null + }, + "node_1902": { + "node_id": "node_1902", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21948010118695, + "fos_buckling": 1.5228959469413015, + "fos_yielding": 2.01246618765801, + "deflection": 0.004040732949722692, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1901", + "improvement_over_parent": null + }, + "node_1903": { + "node_id": "node_1903", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 274)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 185.79 kg\n Factor of Safety: 0.88\n Max Deflection: 6.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.79230115211402, + "fos_buckling": 0.8779218746417962, + "fos_yielding": 1.3795520244073114, + "deflection": 0.006485978309405215, + "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: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 232.80 kg\n Factor of Safety: 1.08\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": 232.79561115721737, + "fos_buckling": 1.0786875716789912, + "fos_yielding": 1.724961104635172, + "deflection": 0.005188210541010099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_1904", + "improvement_over_parent": null + }, + "node_1906": { + "node_id": "node_1906", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 238.29 kg\n Factor of Safety: 1.04\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.2923507386928, + "fos_buckling": 1.0385389070303146, + "fos_yielding": 1.7240288017605314, + "deflection": 0.005066117629991755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.252)" + }, + "parent_node_id": "node_1905", + "improvement_over_parent": null + }, + "node_1907": { + "node_id": "node_1907", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 278.80 kg\n Factor of Safety: 1.20\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": 278.7954270298715, + "fos_buckling": 1.1957055328292672, + "fos_yielding": 2.0140552763999526, + "deflection": 0.004338330696826703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_1906", + "improvement_over_parent": null + }, + "node_1908": { + "node_id": "node_1908", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.06 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0573406480669, + "fos_buckling": 1.5220730351987142, + "fos_yielding": 2.0110924025227597, + "deflection": 0.004042889252040729, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.541)" + }, + "parent_node_id": "node_1907", + "improvement_over_parent": null + }, + "node_1909": { + "node_id": "node_1909", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1908", + "improvement_over_parent": null + }, + "node_1910": { + "node_id": "node_1910", + "content": "INITIAL DESIGN (Trace 275)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 138.51 kg\n Factor of Safety: 0.79\n Max Deflection: 8.48e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.5140576050094, + "fos_buckling": 0.7947806141213312, + "fos_yielding": 0.9539638042334234, + "deflection": 0.008477271128338296, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1911": { + "node_id": "node_1911", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 0.90\n Max Deflection: 7.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.96594706899654, + "fos_buckling": 0.8954993053245875, + "fos_yielding": 1.087453309901757, + "deflection": 0.0074418311323982975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_1910", + "improvement_over_parent": null + }, + "node_1912": { + "node_id": "node_1912", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 183.71 kg\n Factor of Safety: 1.02\n Max Deflection: 6.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.7052556141752, + "fos_buckling": 1.0246922236631215, + "fos_yielding": 1.263910284602288, + "deflection": 0.00640875509079923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_1911", + "improvement_over_parent": null + }, + "node_1913": { + "node_id": "node_1913", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 236.19 kg\n Factor of Safety: 1.27\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.19073630290836, + "fos_buckling": 1.273807078878979, + "fos_yielding": 1.6230920480461144, + "deflection": 0.00499987118364181, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_1912", + "improvement_over_parent": null + }, + "node_1914": { + "node_id": "node_1914", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.99 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9874470137269, + "fos_buckling": 1.521894070930164, + "fos_yielding": 2.0108207622889056, + "deflection": 0.004043928657499203, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_1913", + "improvement_over_parent": null + }, + "node_1915": { + "node_id": "node_1915", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1914", + "improvement_over_parent": null + }, + "node_1916": { + "node_id": "node_1916", + "content": "INITIAL DESIGN (Trace 276)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 162.83 kg\n Factor of Safety: 0.73\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.83204162656838, + "fos_buckling": 0.7252745275746223, + "fos_yielding": 1.3420383176219806, + "deflection": 0.00785764914373237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1917": { + "node_id": "node_1917", + "content": "MODIFICATION: Increase 8 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 167.58 kg\n Factor of Safety: 0.73\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.58232805116953, + "fos_buckling": 0.7250369784672381, + "fos_yielding": 1.3277496531111483, + "deflection": 0.007721339844925249, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.311)" + }, + "parent_node_id": "node_1916", + "improvement_over_parent": null + }, + "node_1918": { + "node_id": "node_1918", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 192.05 kg\n Factor of Safety: 0.82\n Max Deflection: 6.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.04517980236963, + "fos_buckling": 0.8153419116933224, + "fos_yielding": 1.5203648974614108, + "deflection": 0.006747567786193277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_1917", + "improvement_over_parent": null + }, + "node_1919": { + "node_id": "node_1919", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 217.55 kg\n Factor of Safety: 1.12\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": 217.54576661083877, + "fos_buckling": 1.1207453866352155, + "fos_yielding": 1.529450425912315, + "deflection": 0.005569709579838124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004081)" + }, + "parent_node_id": "node_1918", + "improvement_over_parent": null + }, + "node_1920": { + "node_id": "node_1920", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 243.55 kg\n Factor of Safety: 1.24\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": 243.54558535597303, + "fos_buckling": 1.2394226085281517, + "fos_yielding": 1.7109877637807616, + "deflection": 0.004981138552769065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_1919", + "improvement_over_parent": null + }, + "node_1921": { + "node_id": "node_1921", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 281.36 kg\n Factor of Safety: 1.41\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.3561274250341, + "fos_buckling": 1.4061813493573194, + "fos_yielding": 1.9745001676083247, + "deflection": 0.004319247676688431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1920", + "improvement_over_parent": null + }, + "node_1922": { + "node_id": "node_1922", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 282.81 kg\n Factor of Safety: 1.50\n Max Deflection: 4.28e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.8066680128271, + "fos_buckling": 1.499829093180878, + "fos_yielding": 1.9749822394968708, + "deflection": 0.004283820480624484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.284)" + }, + "parent_node_id": "node_1921", + "improvement_over_parent": null + }, + "node_1923": { + "node_id": "node_1923", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.50 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.501404776807, + "fos_buckling": 1.5241467992677091, + "fos_yielding": 2.014213431468368, + "deflection": 0.004037113533644233, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.481)" + }, + "parent_node_id": "node_1922", + "improvement_over_parent": null + }, + "node_1924": { + "node_id": "node_1924", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 277)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 162.34 kg\n Factor of Safety: 0.78\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.33989746024668, + "fos_buckling": 0.7776613561769791, + "fos_yielding": 1.559406868700148, + "deflection": 0.0080322503647056, + "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 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 183.44 kg\n Factor of Safety: 0.80\n Max Deflection: 6.74e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.43767688894442, + "fos_buckling": 0.8016760416307813, + "fos_yielding": 1.3701135350651747, + "deflection": 0.006744499147349451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003450)" + }, + "parent_node_id": "node_1925", + "improvement_over_parent": null + }, + "node_1927": { + "node_id": "node_1927", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 193.67 kg\n Factor of Safety: 0.95\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": 193.66593131454798, + "fos_buckling": 0.9512069556022907, + "fos_yielding": 1.3672931261877113, + "deflection": 0.006245188472389737, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.565)" + }, + "parent_node_id": "node_1926", + "improvement_over_parent": null + }, + "node_1928": { + "node_id": "node_1928", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 197.77 kg\n Factor of Safety: 0.99\n Max Deflection: 6.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.76758521618345, + "fos_buckling": 0.9883690271410184, + "fos_yielding": 1.3806473725554653, + "deflection": 0.0060597720960388355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.220)" + }, + "parent_node_id": "node_1927", + "improvement_over_parent": null + }, + "node_1929": { + "node_id": "node_1929", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 233.30 kg\n Factor of Safety: 1.15\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": 233.30475057918935, + "fos_buckling": 1.1536257019000502, + "fos_yielding": 1.6271692841579228, + "deflection": 0.005145945404241812, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_1928", + "improvement_over_parent": null + }, + "node_1930": { + "node_id": "node_1930", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 234.59 kg\n Factor of Safety: 1.20\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.59383650512498, + "fos_buckling": 1.1965766369822737, + "fos_yielding": 1.6185091177117907, + "deflection": 0.005048919934504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.477)" + }, + "parent_node_id": "node_1929", + "improvement_over_parent": null + }, + "node_1931": { + "node_id": "node_1931", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 291.67 kg\n Factor of Safety: 1.45\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": 291.6726909684967, + "fos_buckling": 1.447331033433461, + "fos_yielding": 2.00957129105436, + "deflection": 0.0040740530885112845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_1930", + "improvement_over_parent": null + }, + "node_1932": { + "node_id": "node_1932", + "content": "MODIFICATION: Increase 4 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 292.88 kg\n Factor of Safety: 1.52\n Max Deflection: 4.05e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.8780539124165, + "fos_buckling": 1.5213912626383608, + "fos_yielding": 2.0100041539431666, + "deflection": 0.004045328376348257, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.227)" + }, + "parent_node_id": "node_1931", + "improvement_over_parent": null + }, + "node_1933": { + "node_id": "node_1933", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1932", + "improvement_over_parent": null + }, + "node_1934": { + "node_id": "node_1934", + "content": "INITIAL DESIGN (Trace 278)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 191.90 kg\n Factor of Safety: 0.50\n Max Deflection: 8.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.89626865878103, + "fos_buckling": 0.5003323649725301, + "fos_yielding": 1.5639254046074087, + "deflection": 0.00888288478854686, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1935": { + "node_id": "node_1935", + "content": "MODIFICATION: Increase 3 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 197.79 kg\n Factor of Safety: 0.50\n Max Deflection: 8.83e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.78660511565624, + "fos_buckling": 0.5001295465937082, + "fos_yielding": 1.5635882427969958, + "deflection": 0.008825709581203774, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.449)" + }, + "parent_node_id": "node_1934", + "improvement_over_parent": null + }, + "node_1936": { + "node_id": "node_1936", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 205.16 kg\n Factor of Safety: 0.50\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.15594835076627, + "fos_buckling": 0.4998760339013055, + "fos_yielding": 1.563166627558176, + "deflection": 0.00874519991416731, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.439)" + }, + "parent_node_id": "node_1935", + "improvement_over_parent": null + }, + "node_1937": { + "node_id": "node_1937", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 240.60 kg\n Factor of Safety: 1.29\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.59692325400312, + "fos_buckling": 1.293866448138206, + "fos_yielding": 1.6531391575792984, + "deflection": 0.004909640531354006, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004972)" + }, + "parent_node_id": "node_1936", + "improvement_over_parent": null + }, + "node_1938": { + "node_id": "node_1938", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3973807071078, + "fos_buckling": 1.5236247871465114, + "fos_yielding": 2.0135345599686016, + "deflection": 0.0040384372450815035, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_1937", + "improvement_over_parent": null + }, + "node_1939": { + "node_id": "node_1939", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1938", + "improvement_over_parent": null + }, + "node_1940": { + "node_id": "node_1940", + "content": "INITIAL DESIGN (Trace 279)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 169.16 kg\n Factor of Safety: 0.63\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.16428088154962, + "fos_buckling": 0.6331653067688685, + "fos_yielding": 1.480147128630655, + "deflection": 0.007923188018269118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1941": { + "node_id": "node_1941", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 204.57 kg\n Factor of Safety: 0.75\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.57201416926011, + "fos_buckling": 0.7507387533450889, + "fos_yielding": 1.7887764927063068, + "deflection": 0.006563269224192662, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_1940", + "improvement_over_parent": null + }, + "node_1942": { + "node_id": "node_1942", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 236.65 kg\n Factor of Safety: 0.85\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.64837187356784, + "fos_buckling": 0.8528036614846778, + "fos_yielding": 2.0679874021142313, + "deflection": 0.0056824953572931535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_1941", + "improvement_over_parent": null + }, + "node_1943": { + "node_id": "node_1943", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 243.05 kg\n Factor of Safety: 0.99\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.0490890804267, + "fos_buckling": 0.9881159335465771, + "fos_yielding": 2.0679874021142313, + "deflection": 0.005358668376366512, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.205)" + }, + "parent_node_id": "node_1942", + "improvement_over_parent": null + }, + "node_1944": { + "node_id": "node_1944", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.92 kg\n Factor of Safety: 1.07\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": 268.92413741632583, + "fos_buckling": 1.0728207864489636, + "fos_yielding": 2.2875882654717716, + "deflection": 0.00485093254138395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_1943", + "improvement_over_parent": null + }, + "node_1945": { + "node_id": "node_1945", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3056093771579, + "fos_buckling": 1.5236747462907225, + "fos_yielding": 2.0129244609837733, + "deflection": 0.004039527606942942, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1944", + "improvement_over_parent": null + }, + "node_1946": { + "node_id": "node_1946", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1945", + "improvement_over_parent": null + }, + "node_1947": { + "node_id": "node_1947", + "content": "INITIAL DESIGN (Trace 280)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 175.04 kg\n Factor of Safety: 0.39\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": 175.0448992532933, + "fos_buckling": 0.3856064295962068, + "fos_yielding": 1.4147130634651752, + "deflection": 0.010812236133179578, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1948": { + "node_id": "node_1948", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 204.59 kg\n Factor of Safety: 0.38\n Max Deflection: 9.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.5909677381389, + "fos_buckling": 0.38482268151142746, + "fos_yielding": 1.413819135221919, + "deflection": 0.00938111156476151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004784)" + }, + "parent_node_id": "node_1947", + "improvement_over_parent": null + }, + "node_1949": { + "node_id": "node_1949", + "content": "MODIFICATION: Increase 7 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 218.33 kg\n Factor of Safety: 0.38\n Max Deflection: 8.98e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.3261587610619, + "fos_buckling": 0.384459421378549, + "fos_yielding": 1.4134039560090697, + "deflection": 0.00898157739496283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.595)" + }, + "parent_node_id": "node_1948", + "improvement_over_parent": null + }, + "node_1950": { + "node_id": "node_1950", + "content": "MODIFICATION: Increase 3 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 223.20 kg\n Factor of Safety: 0.48\n Max Deflection: 8.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.20085027041705, + "fos_buckling": 0.4775722307588061, + "fos_yielding": 1.4129621760912643, + "deflection": 0.008365833702788423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.311)" + }, + "parent_node_id": "node_1949", + "improvement_over_parent": null + }, + "node_1951": { + "node_id": "node_1951", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 248.59 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.59060921730205, + "fos_buckling": 0.5214169102724509, + "fos_yielding": 1.5724277893565877, + "deflection": 0.0075221534701829336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_1950", + "improvement_over_parent": null + }, + "node_1952": { + "node_id": "node_1952", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.17 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.17254038524794, + "fos_buckling": 1.5228223965534797, + "fos_yielding": 2.0122285359984855, + "deflection": 0.004041409676888853, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1951", + "improvement_over_parent": null + }, + "node_1953": { + "node_id": "node_1953", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1952", + "improvement_over_parent": null + }, + "node_1954": { + "node_id": "node_1954", + "content": "INITIAL DESIGN (Trace 281)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\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_1955": { + "node_id": "node_1955", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 182.98 kg\n Factor of Safety: 0.17\n Max Deflection: 7.88e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.9818098438779, + "fos_buckling": 0.1743098281360827, + "fos_yielding": 0.14066342140954693, + "deflection": 78787802989327.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_1954", + "improvement_over_parent": null + }, + "node_1956": { + "node_id": "node_1956", + "content": "MODIFICATION: Increase 0 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 190.35 kg\n Factor of Safety: 1.01\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.34864378445985, + "fos_buckling": 1.0144423468130468, + "fos_yielding": 1.199379108076434, + "deflection": 11720465252269.734, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.304)" + }, + "parent_node_id": "node_1955", + "improvement_over_parent": null + }, + "node_1957": { + "node_id": "node_1957", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 233.55 kg\n Factor of Safety: 1.01\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.5467017219121, + "fos_buckling": 1.0088725709744517, + "fos_yielding": 1.7421138524005695, + "deflection": 0.0059286882661721075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_1956", + "improvement_over_parent": null + }, + "node_1958": { + "node_id": "node_1958", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 257.93 kg\n Factor of Safety: 1.01\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.92817368274416, + "fos_buckling": 1.0071867813427182, + "fos_yielding": 1.5357444329233412, + "deflection": 0.005071733064210768, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_1957", + "improvement_over_parent": null + }, + "node_1959": { + "node_id": "node_1959", + "content": "MODIFICATION: Increase 6 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 267.28 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.2832828093508, + "fos_buckling": 1.0065414427149968, + "fos_yielding": 1.5220180121423788, + "deflection": 0.0050134487237376065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.344)" + }, + "parent_node_id": "node_1958", + "improvement_over_parent": null + }, + "node_1960": { + "node_id": "node_1960", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 300.20 kg\n Factor of Safety: 1.30\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": 300.1958194409678, + "fos_buckling": 1.301473035522444, + "fos_yielding": 1.5331933960884727, + "deflection": 0.004048734700993789, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1959", + "improvement_over_parent": null + }, + "node_1961": { + "node_id": "node_1961", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1960", + "improvement_over_parent": null + }, + "node_1962": { + "node_id": "node_1962", + "content": "INITIAL DESIGN (Trace 282)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 137.32 kg\n Factor of Safety: 0.40\n Max Deflection: 1.24e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.31520391235637, + "fos_buckling": 0.3966176280378088, + "fos_yielding": 1.1982741861038497, + "deflection": 0.01243374018552493, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1963": { + "node_id": "node_1963", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 174.28 kg\n Factor of Safety: 0.49\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": 174.28271980940372, + "fos_buckling": 0.48786075255521105, + "fos_yielding": 1.5176820475306403, + "deflection": 0.00981855112823593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_1962", + "improvement_over_parent": null + }, + "node_1964": { + "node_id": "node_1964", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 193.37 kg\n Factor of Safety: 0.49\n Max Deflection: 9.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.36967935936153, + "fos_buckling": 0.4872197430009344, + "fos_yielding": 1.5166215311031075, + "deflection": 0.00907635853583456, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003103)" + }, + "parent_node_id": "node_1963", + "improvement_over_parent": null + }, + "node_1965": { + "node_id": "node_1965", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 227.71 kg\n Factor of Safety: 1.22\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": 227.70977126665602, + "fos_buckling": 1.2206271752952533, + "fos_yielding": 1.6189258080978193, + "deflection": 0.00514035790252339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004806)" + }, + "parent_node_id": "node_1964", + "improvement_over_parent": null + }, + "node_1966": { + "node_id": "node_1966", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 286.73 kg\n Factor of Safety: 1.48\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": 286.7286561228923, + "fos_buckling": 1.4773000883540537, + "fos_yielding": 2.034745000000696, + "deflection": 0.004096830412050931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_1965", + "improvement_over_parent": null + }, + "node_1967": { + "node_id": "node_1967", + "content": "MODIFICATION: Increase 9 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.59 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5909083248215, + "fos_buckling": 1.5245137175615875, + "fos_yielding": 2.0153320680544846, + "deflection": 0.004035712906126461, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.312)" + }, + "parent_node_id": "node_1966", + "improvement_over_parent": null + }, + "node_1968": { + "node_id": "node_1968", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1967", + "improvement_over_parent": null + }, + "node_1969": { + "node_id": "node_1969", + "content": "INITIAL DESIGN (Trace 283)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 171.48 kg\n Factor of Safety: 0.72\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.48316106862274, + "fos_buckling": 0.7159875827151051, + "fos_yielding": 1.3352786774780576, + "deflection": 0.007468310174920962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1970": { + "node_id": "node_1970", + "content": "MODIFICATION: Increase 7 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 178.24 kg\n Factor of Safety: 0.72\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": 178.24056384362515, + "fos_buckling": 0.7156542145139402, + "fos_yielding": 1.335159916827712, + "deflection": 0.007471446226869072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.471)" + }, + "parent_node_id": "node_1969", + "improvement_over_parent": null + }, + "node_1971": { + "node_id": "node_1971", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 217.18 kg\n Factor of Safety: 0.85\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.1840460002513, + "fos_buckling": 0.8482341703357676, + "fos_yielding": 1.6253457948250383, + "deflection": 0.006146488805185789, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_1970", + "improvement_over_parent": null + }, + "node_1972": { + "node_id": "node_1972", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.62 kg\n Factor of Safety: 1.01\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.61625703386443, + "fos_buckling": 1.0074745153357634, + "fos_yielding": 2.000329073688273, + "deflection": 0.005003690984136154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_1971", + "improvement_over_parent": null + }, + "node_1973": { + "node_id": "node_1973", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5136941762542, + "fos_buckling": 1.5241299138309108, + "fos_yielding": 2.014466333987639, + "deflection": 0.004036773687588125, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_1972", + "improvement_over_parent": null + }, + "node_1974": { + "node_id": "node_1974", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1973", + "improvement_over_parent": null + }, + "node_1975": { + "node_id": "node_1975", + "content": "INITIAL DESIGN (Trace 284)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0019)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 126.33 kg\n Factor of Safety: 0.34\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": 126.33041564072536, + "fos_buckling": 0.33697738245500825, + "fos_yielding": 1.0007264022532303, + "deflection": 0.013778119732435755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1976": { + "node_id": "node_1976", + "content": "MODIFICATION: Increase 8 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 130.80 kg\n Factor of Safety: 0.34\n Max Deflection: 1.37e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 130.7951676362808, + "fos_buckling": 0.33687338848035536, + "fos_yielding": 1.000562256465383, + "deflection": 0.013658626724590554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.397)" + }, + "parent_node_id": "node_1975", + "improvement_over_parent": null + }, + "node_1977": { + "node_id": "node_1977", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 145.85 kg\n Factor of Safety: 0.37\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.84939547428328, + "fos_buckling": 0.3715233046433533, + "fos_yielding": 1.11481303757705, + "deflection": 0.012259518748642064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 190.17 kg\n Factor of Safety: 0.47\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.17059791008913, + "fos_buckling": 0.4686557167139577, + "fos_yielding": 1.4500978159304287, + "deflection": 0.009426478860034171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_1977", + "improvement_over_parent": null + }, + "node_1979": { + "node_id": "node_1979", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 226.74 kg\n Factor of Safety: 0.54\n Max Deflection: 7.92e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.74351039113526, + "fos_buckling": 0.5433548827922535, + "fos_yielding": 1.7255583787178863, + "deflection": 0.007922746224250179, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_1978", + "improvement_over_parent": null + }, + "node_1980": { + "node_id": "node_1980", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n\nPerformance:\n Mass: 265.90 kg\n Factor of Safety: 1.41\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": 265.89531485653174, + "fos_buckling": 1.4064349343296152, + "fos_yielding": 1.8259465908747439, + "deflection": 0.004449151332127027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005538)" + }, + "parent_node_id": "node_1979", + "improvement_over_parent": null + }, + "node_1981": { + "node_id": "node_1981", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.47 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4743785442632, + "fos_buckling": 1.5240382033151456, + "fos_yielding": 2.0140849484656878, + "deflection": 0.004037491551399569, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_1980", + "improvement_over_parent": null + }, + "node_1982": { + "node_id": "node_1982", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1981", + "improvement_over_parent": null + }, + "node_1983": { + "node_id": "node_1983", + "content": "INITIAL DESIGN (Trace 285)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\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_1984": { + "node_id": "node_1984", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 178.57 kg\n Factor of Safety: 0.03\n Max Deflection: 1.91e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.5675697176375, + "fos_buckling": 0.029017463893699445, + "fos_yielding": 0.14325723340284563, + "deflection": 190902455650894.22, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004798)" + }, + "parent_node_id": "node_1983", + "improvement_over_parent": null + }, + "node_1985": { + "node_id": "node_1985", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n\nPerformance:\n Mass: 196.18 kg\n Factor of Safety: 0.49\n Max Deflection: 1.47e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.18355127099608, + "fos_buckling": 0.4877284702214629, + "fos_yielding": 1.1253073712763755, + "deflection": 14726046594604.912, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003307)" + }, + "parent_node_id": "node_1984", + "improvement_over_parent": null + }, + "node_1986": { + "node_id": "node_1986", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 218.13 kg\n Factor of Safety: 0.48\n Max Deflection: 8.40e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.13231688384025, + "fos_buckling": 0.4789495451569067, + "fos_yielding": 1.41695537394362, + "deflection": 0.008401678349267847, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004335)" + }, + "parent_node_id": "node_1985", + "improvement_over_parent": null + }, + "node_1987": { + "node_id": "node_1987", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 258.26 kg\n Factor of Safety: 1.33\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": 258.26091397430025, + "fos_buckling": 1.334756118644821, + "fos_yielding": 1.8119383975444592, + "deflection": 0.004556929279531903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005584)" + }, + "parent_node_id": "node_1986", + "improvement_over_parent": null + }, + "node_1988": { + "node_id": "node_1988", + "content": "MODIFICATION: Increase 2 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0046)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 260.25 kg\n Factor of Safety: 1.29\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": 260.24635455116845, + "fos_buckling": 1.2911510345029569, + "fos_yielding": 1.812354134736449, + "deflection": 0.004523007500519708, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.351)" + }, + "parent_node_id": "node_1987", + "improvement_over_parent": null + }, + "node_1989": { + "node_id": "node_1989", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0052)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 289.16 kg\n Factor of Safety: 1.42\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.1553789224292, + "fos_buckling": 1.415666734260857, + "fos_yielding": 2.012240828474374, + "deflection": 0.0040775030607470555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_1988", + "improvement_over_parent": null + }, + "node_1990": { + "node_id": "node_1990", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_1989", + "improvement_over_parent": null + }, + "node_1991": { + "node_id": "node_1991", + "content": "INITIAL DESIGN (Trace 286)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 186.59 kg\n Factor of Safety: 0.64\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.58556119016467, + "fos_buckling": 0.642909904352943, + "fos_yielding": 1.753620905693607, + "deflection": 0.00843585973671528, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_1992": { + "node_id": "node_1992", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 190.61 kg\n Factor of Safety: 0.81\n Max Deflection: 6.80e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.60511108805358, + "fos_buckling": 0.8121683006620329, + "fos_yielding": 1.5114762738743048, + "deflection": 0.006797144430323438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002493)" + }, + "parent_node_id": "node_1991", + "improvement_over_parent": null + }, + "node_1993": { + "node_id": "node_1993", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 220.74 kg\n Factor of Safety: 0.92\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": 220.74440786670544, + "fos_buckling": 0.9185544180012865, + "fos_yielding": 1.7487198510452286, + "deflection": 0.005879464991519681, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_1992", + "improvement_over_parent": null + }, + "node_1994": { + "node_id": "node_1994", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 247.57 kg\n Factor of Safety: 1.01\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": 247.57092110101456, + "fos_buckling": 1.008286416166561, + "fos_yielding": 1.959466403164881, + "deflection": 0.005250592392783314, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_1993", + "improvement_over_parent": null + }, + "node_1995": { + "node_id": "node_1995", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 280.48 kg\n Factor of Safety: 1.24\n Max Deflection: 4.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.48345773263156, + "fos_buckling": 1.2358464221374077, + "fos_yielding": 1.9714527474049075, + "deflection": 0.00430082475279885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_1994", + "improvement_over_parent": null + }, + "node_1996": { + "node_id": "node_1996", + "content": "MODIFICATION: Increase 10 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0078)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.23\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": 293.15091805244896, + "fos_buckling": 1.2323675473497955, + "fos_yielding": 1.9721985652128247, + "deflection": 0.00422380909036568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.443)" + }, + "parent_node_id": "node_1995", + "improvement_over_parent": null + }, + "node_1997": { + "node_id": "node_1997", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 287)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0007)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 157.37 kg\n Factor of Safety: 0.58\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.37361280281274, + "fos_buckling": 0.5756449055908514, + "fos_yielding": 1.1017088644712898, + "deflection": 0.007841660502103992, + "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 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 203.85 kg\n Factor of Safety: 0.74\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": 203.85473574778902, + "fos_buckling": 0.7422346529020515, + "fos_yielding": 1.4303108066791992, + "deflection": 0.006064660428114591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_1998", + "improvement_over_parent": null + }, + "node_2000": { + "node_id": "node_2000", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 228.55 kg\n Factor of Safety: 0.83\n Max Deflection: 5.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.55210297401797, + "fos_buckling": 0.8301110729420735, + "fos_yielding": 1.6056804876839492, + "deflection": 0.005414448151536978, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_1999", + "improvement_over_parent": null + }, + "node_2001": { + "node_id": "node_2001", + "content": "MODIFICATION: Increase 5 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 229.33 kg\n Factor of Safety: 0.99\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.32528144775466, + "fos_buckling": 0.9893013469707408, + "fos_yielding": 1.5824441445567612, + "deflection": 0.005287487672184783, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.441)" + }, + "parent_node_id": "node_2000", + "improvement_over_parent": null + }, + "node_2002": { + "node_id": "node_2002", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 254.52 kg\n Factor of Safety: 1.09\n Max Deflection: 4.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.5197747141343, + "fos_buckling": 1.0888978528999897, + "fos_yielding": 1.7589788986224288, + "deflection": 0.0047695973830807715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2001", + "improvement_over_parent": null + }, + "node_2003": { + "node_id": "node_2003", + "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 256.64 kg\n Factor of Safety: 1.15\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.642150466879, + "fos_buckling": 1.1499245963342999, + "fos_yielding": 1.78697174009392, + "deflection": 0.00469454326374394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.562)" + }, + "parent_node_id": "node_2002", + "improvement_over_parent": null + }, + "node_2004": { + "node_id": "node_2004", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.46 kg\n Factor of Safety: 1.29\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": 291.45971926685104, + "fos_buckling": 1.2948750388268098, + "fos_yielding": 2.027507082336633, + "deflection": 0.004140712979687455, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_2003", + "improvement_over_parent": null + }, + "node_2005": { + "node_id": "node_2005", + "content": "MODIFICATION: Increase 5 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.37085184409216, + "fos_buckling": 1.5234806800869654, + "fos_yielding": 2.0134401740506935, + "deflection": 0.004038748789271515, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.634)" + }, + "parent_node_id": "node_2004", + "improvement_over_parent": null + }, + "node_2006": { + "node_id": "node_2006", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2005", + "improvement_over_parent": null + }, + "node_2007": { + "node_id": "node_2007", + "content": "INITIAL DESIGN (Trace 288)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 182.80 kg\n Factor of Safety: 1.04\n Max Deflection: 6.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.79795209400137, + "fos_buckling": 1.0418698170469716, + "fos_yielding": 1.2921192283447613, + "deflection": 0.006519168241337024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2008": { + "node_id": "node_2008", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 233.68 kg\n Factor of Safety: 1.29\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": 233.6824226913184, + "fos_buckling": 1.2876151643359566, + "fos_yielding": 1.6492523706977558, + "deflection": 0.005113397256229478, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2007", + "improvement_over_parent": null + }, + "node_2009": { + "node_id": "node_2009", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 285.94 kg\n Factor of Safety: 1.52\n Max Deflection: 4.19e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 285.9358991084403, + "fos_buckling": 1.5202723483862304, + "fos_yielding": 2.014791148259617, + "deflection": 0.004190437492371925, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2008", + "improvement_over_parent": null + }, + "node_2010": { + "node_id": "node_2010", + "content": "MODIFICATION: Increase 0 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3237479518187, + "fos_buckling": 1.5233629204566526, + "fos_yielding": 2.01323385234222, + "deflection": 0.004039426408721504, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.305)" + }, + "parent_node_id": "node_2009", + "improvement_over_parent": null + }, + "node_2011": { + "node_id": "node_2011", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2010", + "improvement_over_parent": null + }, + "node_2012": { + "node_id": "node_2012", + "content": "INITIAL DESIGN (Trace 289)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 199.86 kg\n Factor of Safety: 0.52\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.86323895914092, + "fos_buckling": 0.5235658740149824, + "fos_yielding": 1.7647992772610146, + "deflection": 0.008439791737702476, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2013": { + "node_id": "node_2013", + "content": "MODIFICATION: Increase 6 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 207.29 kg\n Factor of Safety: 0.52\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.29209823317865, + "fos_buckling": 0.5232982815290204, + "fos_yielding": 1.7638972952005623, + "deflection": 0.008440632824428435, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.376)" + }, + "parent_node_id": "node_2012", + "improvement_over_parent": null + }, + "node_2014": { + "node_id": "node_2014", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 212.03 kg\n Factor of Safety: 0.64\n Max Deflection: 7.76e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.02690947754263, + "fos_buckling": 0.6376873739742913, + "fos_yielding": 2.003918962615338, + "deflection": 0.007757998948717986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.252)" + }, + "parent_node_id": "node_2013", + "improvement_over_parent": null + }, + "node_2015": { + "node_id": "node_2015", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 216.59 kg\n Factor of Safety: 0.64\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": 216.59267236473713, + "fos_buckling": 0.6372871367250423, + "fos_yielding": 2.003918962615338, + "deflection": 0.00659124258148289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002860)" + }, + "parent_node_id": "node_2014", + "improvement_over_parent": null + }, + "node_2016": { + "node_id": "node_2016", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n\nPerformance:\n Mass: 237.94 kg\n Factor of Safety: 0.99\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": 237.94382161291398, + "fos_buckling": 0.9881731704006074, + "fos_yielding": 1.7237428551331277, + "deflection": 0.00510217691232228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004207)" + }, + "parent_node_id": "node_2015", + "improvement_over_parent": null + }, + "node_2017": { + "node_id": "node_2017", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 271.93 kg\n Factor of Safety: 1.12\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": 271.92672871503487, + "fos_buckling": 1.1155533186281394, + "fos_yielding": 1.9674578050140274, + "deflection": 0.0044709614136314085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2016", + "improvement_over_parent": null + }, + "node_2018": { + "node_id": "node_2018", + "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0080)]\n\nPerformance:\n Mass: 285.34 kg\n Factor of Safety: 1.17\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": 285.34037550645223, + "fos_buckling": 1.1676128667597665, + "fos_yielding": 1.9435793564409043, + "deflection": 0.00436701465828914, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.647)" + }, + "parent_node_id": "node_2017", + "improvement_over_parent": null + }, + "node_2019": { + "node_id": "node_2019", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0080)]\n\nPerformance:\n Mass: 286.26 kg\n Factor of Safety: 1.18\n Max Deflection: 4.33e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.2603297260796, + "fos_buckling": 1.1771304362369939, + "fos_yielding": 1.9397632296839091, + "deflection": 0.004331433247953792, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.198)" + }, + "parent_node_id": "node_2018", + "improvement_over_parent": null + }, + "node_2020": { + "node_id": "node_2020", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2019", + "improvement_over_parent": null + }, + "node_2021": { + "node_id": "node_2021", + "content": "INITIAL DESIGN (Trace 290)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 239.67 kg\n Factor of Safety: 0.94\n Max Deflection: 5.13e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.66991969642842, + "fos_buckling": 0.9439649150070814, + "fos_yielding": 1.7674802293870162, + "deflection": 0.005134336864970242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2022": { + "node_id": "node_2022", + "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 246.93 kg\n Factor of Safety: 1.13\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": 246.93015087707496, + "fos_buckling": 1.1331924699995777, + "fos_yielding": 1.7653818951709879, + "deflection": 0.004850927245470867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.370)" + }, + "parent_node_id": "node_2021", + "improvement_over_parent": null + }, + "node_2023": { + "node_id": "node_2023", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.11 kg\n Factor of Safety: 1.27\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.10598484380887, + "fos_buckling": 1.2739851842472956, + "fos_yielding": 2.014398480587427, + "deflection": 0.004253653681065363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2022", + "improvement_over_parent": null + }, + "node_2024": { + "node_id": "node_2024", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.19341021518096, + "fos_buckling": 1.5227659494954968, + "fos_yielding": 2.0122476314961464, + "deflection": 0.004041141565883721, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.379)" + }, + "parent_node_id": "node_2023", + "improvement_over_parent": null + }, + "node_2025": { + "node_id": "node_2025", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 291)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 208.66 kg\n Factor of Safety: 0.83\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.65532942315758, + "fos_buckling": 0.8256308669191906, + "fos_yielding": 1.5745810558987006, + "deflection": 0.006343026468364943, + "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 3 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 210.35 kg\n Factor of Safety: 0.83\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": 210.35396700877396, + "fos_buckling": 0.8256308669191906, + "fos_yielding": 1.5745810558987006, + "deflection": 0.006343026468364943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.473)" + }, + "parent_node_id": "node_2026", + "improvement_over_parent": null + }, + "node_2028": { + "node_id": "node_2028", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.27 kg\n Factor of Safety: 1.01\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": 267.2668227422722, + "fos_buckling": 1.0064655618580165, + "fos_yielding": 1.9978452517485947, + "deflection": 0.005009844755265495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2027", + "improvement_over_parent": null + }, + "node_2029": { + "node_id": "node_2029", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.164259884662, + "fos_buckling": 1.522589623750033, + "fos_yielding": 2.0119678661299463, + "deflection": 0.004041532603440221, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2028", + "improvement_over_parent": null + }, + "node_2030": { + "node_id": "node_2030", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2029", + "improvement_over_parent": null + }, + "node_2031": { + "node_id": "node_2031", + "content": "INITIAL DESIGN (Trace 292)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 173.48 kg\n Factor of Safety: 0.14\n Max Deflection: 8.65e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.48228256170833, + "fos_buckling": 0.13516005360944064, + "fos_yielding": 0.4177547370306841, + "deflection": 86507152004516.84, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2032": { + "node_id": "node_2032", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 206.39 kg\n Factor of Safety: 0.34\n Max Deflection: 2.13e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.39481919332533, + "fos_buckling": 0.33671355013030924, + "fos_yielding": 1.7976972289698163, + "deflection": 21313880441713.918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2031", + "improvement_over_parent": null + }, + "node_2033": { + "node_id": "node_2033", + "content": "MODIFICATION: Increase 2 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 215.21 kg\n Factor of Safety: 0.25\n Max Deflection: 3.65e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.20583741792356, + "fos_buckling": 0.25469320475315704, + "fos_yielding": 0.8153326857265426, + "deflection": 36468353958612.36, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.565)" + }, + "parent_node_id": "node_2032", + "improvement_over_parent": null + }, + "node_2034": { + "node_id": "node_2034", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 239.59 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.58730937875566, + "fos_buckling": 0.5219041387300258, + "fos_yielding": 1.572925884366536, + "deflection": 0.007516760396855519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2033", + "improvement_over_parent": null + }, + "node_2035": { + "node_id": "node_2035", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 248.66 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.66062643189468, + "fos_buckling": 0.5215793427260554, + "fos_yielding": 1.5726210972940573, + "deflection": 0.007520398384009898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.383)" + }, + "parent_node_id": "node_2034", + "improvement_over_parent": null + }, + "node_2036": { + "node_id": "node_2036", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.24255759984055, + "fos_buckling": 1.5228888207218099, + "fos_yielding": 2.0124501057547524, + "deflection": 0.0040405414170036, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2035", + "improvement_over_parent": null + }, + "node_2037": { + "node_id": "node_2037", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2036", + "improvement_over_parent": null + }, + "node_2038": { + "node_id": "node_2038", + "content": "INITIAL DESIGN (Trace 293)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n\nPerformance:\n Mass: 115.18 kg\n Factor of Safety: 0.55\n Max Deflection: 2.18e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 115.17563946675587, + "fos_buckling": 0.5498135470041737, + "fos_yielding": 0.5626536856381877, + "deflection": 21768925519565.484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2039": { + "node_id": "node_2039", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 140.16 kg\n Factor of Safety: 0.65\n Max Deflection: 8.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.15705499721983, + "fos_buckling": 0.6539275631069218, + "fos_yielding": 1.2835476841018587, + "deflection": 0.008854577184796824, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003369)" + }, + "parent_node_id": "node_2038", + "improvement_over_parent": null + }, + "node_2040": { + "node_id": "node_2040", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 179.33 kg\n Factor of Safety: 0.81\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.33262039663484, + "fos_buckling": 0.8123895176888427, + "fos_yielding": 1.6410124081878492, + "deflection": 0.006938084536487268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2039", + "improvement_over_parent": null + }, + "node_2041": { + "node_id": "node_2041", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 211.31 kg\n Factor of Safety: 0.93\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": 211.31475201861107, + "fos_buckling": 0.9340049779720729, + "fos_yielding": 1.9323802387759612, + "deflection": 0.005900384947027277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2040", + "improvement_over_parent": null + }, + "node_2042": { + "node_id": "node_2042", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 237.47 kg\n Factor of Safety: 1.24\n Max Deflection: 4.93e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.4730039553521, + "fos_buckling": 1.2413632119247755, + "fos_yielding": 1.6992872309028255, + "deflection": 0.004927620971699671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004343)" + }, + "parent_node_id": "node_2041", + "improvement_over_parent": null + }, + "node_2043": { + "node_id": "node_2043", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 281.28 kg\n Factor of Safety: 1.43\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": 281.27688869055845, + "fos_buckling": 1.427218662693454, + "fos_yielding": 2.009828998007147, + "deflection": 0.004170910747195014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2042", + "improvement_over_parent": null + }, + "node_2044": { + "node_id": "node_2044", + "content": "MODIFICATION: Increase 8 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.06662001494976, + "fos_buckling": 1.5222143017644238, + "fos_yielding": 2.0115041680305072, + "deflection": 0.004042764056760293, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.613)" + }, + "parent_node_id": "node_2043", + "improvement_over_parent": null + }, + "node_2045": { + "node_id": "node_2045", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 294)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n\nPerformance:\n Mass: 126.71 kg\n Factor of Safety: 0.53\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": 126.70692079120548, + "fos_buckling": 0.5314739695814251, + "fos_yielding": 1.3783760740648223, + "deflection": 0.010664633761931963, + "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 8 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 133.63 kg\n Factor of Safety: 0.66\n Max Deflection: 9.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 133.62737027167628, + "fos_buckling": 0.6552001436644832, + "fos_yielding": 1.3783760740648223, + "deflection": 0.009772550132813203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.366)" + }, + "parent_node_id": "node_2046", + "improvement_over_parent": null + }, + "node_2048": { + "node_id": "node_2048", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n\nPerformance:\n Mass: 153.44 kg\n Factor of Safety: 0.70\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.43868495333533, + "fos_buckling": 0.6967355479810157, + "fos_yielding": 1.3783760740648223, + "deflection": 0.008157009523971954, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003121)" + }, + "parent_node_id": "node_2047", + "improvement_over_parent": null + }, + "node_2049": { + "node_id": "node_2049", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n\nPerformance:\n Mass: 157.84 kg\n Factor of Safety: 0.70\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.83783783626157, + "fos_buckling": 0.6965240705862737, + "fos_yielding": 1.3783760740648223, + "deflection": 0.008007800560394483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.414)" + }, + "parent_node_id": "node_2048", + "improvement_over_parent": null + }, + "node_2050": { + "node_id": "node_2050", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n\nPerformance:\n Mass: 176.49 kg\n Factor of Safety: 0.99\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": 176.48691383075223, + "fos_buckling": 0.9887798873132838, + "fos_yielding": 1.2144698460003651, + "deflection": 0.006668132964964415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003028)" + }, + "parent_node_id": "node_2049", + "improvement_over_parent": null + }, + "node_2051": { + "node_id": "node_2051", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 208.32 kg\n Factor of Safety: 1.14\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.32200186643595, + "fos_buckling": 1.1437535810927968, + "fos_yielding": 1.4325081188727704, + "deflection": 0.005659615654314998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2050", + "improvement_over_parent": null + }, + "node_2052": { + "node_id": "node_2052", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 260.39 kg\n Factor of Safety: 1.38\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.39268094066483, + "fos_buckling": 1.3820559626314797, + "fos_yielding": 1.78846492500717, + "deflection": 0.004541583506870547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2051", + "improvement_over_parent": null + }, + "node_2053": { + "node_id": "node_2053", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.33 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3315730152515, + "fos_buckling": 1.523137623227377, + "fos_yielding": 2.013204825187639, + "deflection": 0.004039302931622921, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2052", + "improvement_over_parent": null + }, + "node_2054": { + "node_id": "node_2054", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2053", + "improvement_over_parent": null + }, + "node_2055": { + "node_id": "node_2055", + "content": "INITIAL DESIGN (Trace 295)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 108.24 kg\n Factor of Safety: 0.32\n Max Deflection: 1.97e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 108.23556582269694, + "fos_buckling": 0.3166183373519006, + "fos_yielding": 0.7462728214467229, + "deflection": 0.01970442751962679, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2056": { + "node_id": "node_2056", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 122.21 kg\n Factor of Safety: 0.35\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": 122.20874323963467, + "fos_buckling": 0.35279739606126725, + "fos_yielding": 0.8421599509905624, + "deflection": 0.017469746352700335, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_2055", + "improvement_over_parent": null + }, + "node_2057": { + "node_id": "node_2057", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 149.46 kg\n Factor of Safety: 0.42\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.45629526738495, + "fos_buckling": 0.4202959341049904, + "fos_yielding": 1.0288196339335338, + "deflection": 0.014314294421082868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2056", + "improvement_over_parent": null + }, + "node_2058": { + "node_id": "node_2058", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 183.72 kg\n Factor of Safety: 0.47\n Max Deflection: 9.69e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.72231988263255, + "fos_buckling": 0.47307381168408436, + "fos_yielding": 1.4653972363804737, + "deflection": 0.009694558698021827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004709)" + }, + "parent_node_id": "node_2057", + "improvement_over_parent": null + }, + "node_2059": { + "node_id": "node_2059", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 239.15 kg\n Factor of Safety: 0.59\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.14919058095506, + "fos_buckling": 0.5885730314078833, + "fos_yielding": 1.9002284298919387, + "deflection": 0.007470959514105354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2058", + "improvement_over_parent": null + }, + "node_2060": { + "node_id": "node_2060", + "content": "MODIFICATION: Increase 1 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 249.91 kg\n Factor of Safety: 0.59\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.91445680247807, + "fos_buckling": 0.588138479722528, + "fos_yielding": 1.899481732312293, + "deflection": 0.007197591135261982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.486)" + }, + "parent_node_id": "node_2059", + "improvement_over_parent": null + }, + "node_2061": { + "node_id": "node_2061", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1125147399303, + "fos_buckling": 1.5223852558290465, + "fos_yielding": 2.0113846096598365, + "deflection": 0.004042116090295344, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2060", + "improvement_over_parent": null + }, + "node_2062": { + "node_id": "node_2062", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2061", + "improvement_over_parent": null + }, + "node_2063": { + "node_id": "node_2063", + "content": "INITIAL DESIGN (Trace 296)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 220.91 kg\n Factor of Safety: 0.95\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": 220.91347334189678, + "fos_buckling": 0.950229455730857, + "fos_yielding": 1.5192768878078529, + "deflection": 0.005436985017306012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2064": { + "node_id": "node_2064", + "content": "MODIFICATION: Increase 4 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 222.73 kg\n Factor of Safety: 1.23\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.7253326136125, + "fos_buckling": 1.2311215067620418, + "fos_yielding": 1.5634697426666118, + "deflection": 0.00534212490542442, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.531)" + }, + "parent_node_id": "node_2063", + "improvement_over_parent": null + }, + "node_2065": { + "node_id": "node_2065", + "content": "MODIFICATION: Increase 0 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 227.33 kg\n Factor of Safety: 1.23\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": 227.3299637408625, + "fos_buckling": 1.233121483320697, + "fos_yielding": 1.562560873041234, + "deflection": 0.005192110779843566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.227)" + }, + "parent_node_id": "node_2064", + "improvement_over_parent": null + }, + "node_2066": { + "node_id": "node_2066", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.19092375119595, + "fos_buckling": 1.5227739740947581, + "fos_yielding": 2.0122675264695786, + "deflection": 0.004041193391037812, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_2065", + "improvement_over_parent": null + }, + "node_2067": { + "node_id": "node_2067", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2066", + "improvement_over_parent": null + }, + "node_2068": { + "node_id": "node_2068", + "content": "INITIAL DESIGN (Trace 297)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 168.13 kg\n Factor of Safety: 0.74\n Max Deflection: 9.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.13316940472012, + "fos_buckling": 0.7387768520492067, + "fos_yielding": 1.5611170877432023, + "deflection": 0.009542280458560539, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2069": { + "node_id": "node_2069", + "content": "MODIFICATION: Increase 1 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 175.92 kg\n Factor of Safety: 0.74\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.92373290459287, + "fos_buckling": 0.7391783943264328, + "fos_yielding": 1.5611170877432023, + "deflection": 0.008589732070257084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.513)" + }, + "parent_node_id": "node_2068", + "improvement_over_parent": null + }, + "node_2070": { + "node_id": "node_2070", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 179.76 kg\n Factor of Safety: 0.74\n Max Deflection: 8.59e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.75579885258497, + "fos_buckling": 0.7393760673885614, + "fos_yielding": 1.5607451764477458, + "deflection": 0.008589696387351313, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.235)" + }, + "parent_node_id": "node_2069", + "improvement_over_parent": null + }, + "node_2071": { + "node_id": "node_2071", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 183.31 kg\n Factor of Safety: 0.78\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": 183.31099329362556, + "fos_buckling": 0.7773078474054359, + "fos_yielding": 1.5607451764477458, + "deflection": 0.007080210180312079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002187)" + }, + "parent_node_id": "node_2070", + "improvement_over_parent": null + }, + "node_2072": { + "node_id": "node_2072", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 199.94 kg\n Factor of Safety: 1.10\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": 199.93622374751843, + "fos_buckling": 1.103975738327602, + "fos_yielding": 1.3750024071863967, + "deflection": 0.0058943553568862085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003217)" + }, + "parent_node_id": "node_2071", + "improvement_over_parent": null + }, + "node_2073": { + "node_id": "node_2073", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n\nPerformance:\n Mass: 224.96 kg\n Factor of Safety: 1.22\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": 224.9552051768502, + "fos_buckling": 1.2223068200422822, + "fos_yielding": 1.546190372942813, + "deflection": 0.0052464282399690525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2072", + "improvement_over_parent": null + }, + "node_2074": { + "node_id": "node_2074", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2070069167681, + "fos_buckling": 1.5230735457227826, + "fos_yielding": 2.0122108965951746, + "deflection": 0.004041148345693256, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_2073", + "improvement_over_parent": null + }, + "node_2075": { + "node_id": "node_2075", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 298)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 141.32 kg\n Factor of Safety: 0.64\n Max Deflection: 9.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.3185171073055, + "fos_buckling": 0.6386695509670974, + "fos_yielding": 1.1613063198985962, + "deflection": 0.009929986473718436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2077": { + "node_id": "node_2077", + "content": "MODIFICATION: Increase 9 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 145.59 kg\n Factor of Safety: 0.64\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": 145.59438201414355, + "fos_buckling": 0.6384809741480998, + "fos_yielding": 1.1732077067925597, + "deflection": 0.009718942746633586, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.206)" + }, + "parent_node_id": "node_2076", + "improvement_over_parent": null + }, + "node_2078": { + "node_id": "node_2078", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 182.80 kg\n Factor of Safety: 0.78\n Max Deflection: 7.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.7973336175712, + "fos_buckling": 0.7792984165622233, + "fos_yielding": 1.470983430730595, + "deflection": 0.007748377293826216, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2077", + "improvement_over_parent": null + }, + "node_2079": { + "node_id": "node_2079", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 204.41 kg\n Factor of Safety: 0.86\n Max Deflection: 6.93e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.40703899542194, + "fos_buckling": 0.8569862397952719, + "fos_yielding": 1.6435577574748792, + "deflection": 0.006932874494324697, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2078", + "improvement_over_parent": null + }, + "node_2080": { + "node_id": "node_2080", + "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 213.81 kg\n Factor of Safety: 0.86\n Max Deflection: 6.08e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.80606899141674, + "fos_buckling": 0.8564325235614457, + "fos_yielding": 1.643354608508721, + "deflection": 0.006078455254309918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.546)" + }, + "parent_node_id": "node_2079", + "improvement_over_parent": null + }, + "node_2081": { + "node_id": "node_2081", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.15 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.1488164084221, + "fos_buckling": 1.0065966129993713, + "fos_yielding": 1.997315094043592, + "deflection": 0.005010023103469101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2080", + "improvement_over_parent": null + }, + "node_2082": { + "node_id": "node_2082", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.06 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0613530400391, + "fos_buckling": 1.5220510598342087, + "fos_yielding": 2.0110965769014997, + "deflection": 0.004043037279841155, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2081", + "improvement_over_parent": null + }, + "node_2083": { + "node_id": "node_2083", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2082", + "improvement_over_parent": null + }, + "node_2084": { + "node_id": "node_2084", + "content": "INITIAL DESIGN (Trace 299)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 234.46 kg\n Factor of Safety: 1.01\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": 234.46494339772792, + "fos_buckling": 1.009030202291566, + "fos_yielding": 2.2871339933597423, + "deflection": 0.0059315454032171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2085": { + "node_id": "node_2085", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 235.94 kg\n Factor of Safety: 1.01\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.93651406682832, + "fos_buckling": 1.0088263346867945, + "fos_yielding": 2.287133993359742, + "deflection": 0.005928259732859598, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.431)" + }, + "parent_node_id": "node_2084", + "improvement_over_parent": null + }, + "node_2086": { + "node_id": "node_2086", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 268.85 kg\n Factor of Safety: 1.07\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": 268.84905069844535, + "fos_buckling": 1.0721033702853595, + "fos_yielding": 2.2871339933597423, + "deflection": 0.004852790278222869, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2085", + "improvement_over_parent": null + }, + "node_2087": { + "node_id": "node_2087", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2305226592774, + "fos_buckling": 1.5229234759263917, + "fos_yielding": 2.012426376658946, + "deflection": 0.004040568907420008, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2086", + "improvement_over_parent": null + }, + "node_2088": { + "node_id": "node_2088", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2087", + "improvement_over_parent": null + }, + "node_2089": { + "node_id": "node_2089", + "content": "INITIAL DESIGN (Trace 300)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 177.27 kg\n Factor of Safety: 0.33\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": 177.2661605602766, + "fos_buckling": 0.3314307190044934, + "fos_yielding": 1.4003699869940656, + "deflection": 0.0107546047058322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2090": { + "node_id": "node_2090", + "content": "MODIFICATION: Increase 3 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 184.59 kg\n Factor of Safety: 0.48\n Max Deflection: 9.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.59402777737319, + "fos_buckling": 0.4751123749732054, + "fos_yielding": 1.3997114635990149, + "deflection": 0.009650721174247036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.553)" + }, + "parent_node_id": "node_2089", + "improvement_over_parent": null + }, + "node_2091": { + "node_id": "node_2091", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 213.84 kg\n Factor of Safety: 0.47\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.8386600696257, + "fos_buckling": 0.4741572420543509, + "fos_yielding": 1.3988363938787076, + "deflection": 0.008626806402404201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004731)" + }, + "parent_node_id": "node_2090", + "improvement_over_parent": null + }, + "node_2092": { + "node_id": "node_2092", + "content": "MODIFICATION: Increase 4 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 214.90 kg\n Factor of Safety: 0.47\n Max Deflection: 8.60e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.90259548756694, + "fos_buckling": 0.47415724205435095, + "fos_yielding": 1.3988363938787072, + "deflection": 0.008596038360443507, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.222)" + }, + "parent_node_id": "node_2091", + "improvement_over_parent": null + }, + "node_2093": { + "node_id": "node_2093", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 241.96 kg\n Factor of Safety: 0.52\n Max Deflection: 7.65e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.96382458554854, + "fos_buckling": 0.522238535465236, + "fos_yielding": 1.5731577220867656, + "deflection": 0.007646965916913241, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2092", + "improvement_over_parent": null + }, + "node_2094": { + "node_id": "node_2094", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.55 kg\n Factor of Safety: 1.38\n Max Deflection: 4.16e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 286.5457557534944, + "fos_buckling": 1.3764047486901787, + "fos_yielding": 2.0139739049014413, + "deflection": 0.004157353520382566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2093", + "improvement_over_parent": null + }, + "node_2095": { + "node_id": "node_2095", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.28 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2835451162299, + "fos_buckling": 1.5230849189708864, + "fos_yielding": 2.012773065863656, + "deflection": 0.004040069246273256, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.203)" + }, + "parent_node_id": "node_2094", + "improvement_over_parent": null + }, + "node_2096": { + "node_id": "node_2096", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2095", + "improvement_over_parent": null + }, + "node_2097": { + "node_id": "node_2097", + "content": "INITIAL DESIGN (Trace 301)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 162.42 kg\n Factor of Safety: 0.76\n Max Deflection: 1.59e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.41933701219563, + "fos_buckling": 0.7555705683748086, + "fos_yielding": 1.6042658051308536, + "deflection": 158949218941.2668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2098": { + "node_id": "node_2098", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 179.58 kg\n Factor of Safety: 0.75\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.58358724884948, + "fos_buckling": 0.751010081278033, + "fos_yielding": 1.6025632942923307, + "deflection": 0.008331523475561937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003328)" + }, + "parent_node_id": "node_2097", + "improvement_over_parent": null + }, + "node_2099": { + "node_id": "node_2099", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n\nPerformance:\n Mass: 183.25 kg\n Factor of Safety: 0.75\n Max Deflection: 7.08e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.2548697735836, + "fos_buckling": 0.7506302457729066, + "fos_yielding": 1.4096170149824983, + "deflection": 0.007078653538732129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002263)" + }, + "parent_node_id": "node_2098", + "improvement_over_parent": null + }, + "node_2100": { + "node_id": "node_2100", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 229.10 kg\n Factor of Safety: 0.91\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": 229.09963337873768, + "fos_buckling": 0.9073876633923474, + "fos_yielding": 1.7603054794193191, + "deflection": 0.005678305346794349, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2099", + "improvement_over_parent": null + }, + "node_2101": { + "node_id": "node_2101", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 260.58 kg\n Factor of Safety: 1.01\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": 260.5820654484654, + "fos_buckling": 1.0079667578321514, + "fos_yielding": 2.0006794232245775, + "deflection": 0.005002026854955752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2100", + "improvement_over_parent": null + }, + "node_2102": { + "node_id": "node_2102", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.49 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4946020800824, + "fos_buckling": 1.5241580317314007, + "fos_yielding": 2.0144767276858895, + "deflection": 0.004036867696752441, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2101", + "improvement_over_parent": null + }, + "node_2103": { + "node_id": "node_2103", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2102", + "improvement_over_parent": null + }, + "node_2104": { + "node_id": "node_2104", + "content": "INITIAL DESIGN (Trace 302)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 122.23 kg\n Factor of Safety: 0.54\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.23402949443948, + "fos_buckling": 0.5419818183569436, + "fos_yielding": 0.9622105661913934, + "deflection": 0.010602186107151764, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2105": { + "node_id": "node_2105", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 160.47 kg\n Factor of Safety: 0.69\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": 160.47093610640533, + "fos_buckling": 0.691589265938856, + "fos_yielding": 1.26176438570901, + "deflection": 0.008094000679144215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2104", + "improvement_over_parent": null + }, + "node_2106": { + "node_id": "node_2106", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 181.56 kg\n Factor of Safety: 1.04\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": 181.5609884910713, + "fos_buckling": 1.0441229440138775, + "fos_yielding": 1.2697931451529694, + "deflection": 0.006613079245259398, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003334)" + }, + "parent_node_id": "node_2105", + "improvement_over_parent": null + }, + "node_2107": { + "node_id": "node_2107", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 234.11 kg\n Factor of Safety: 1.30\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": 234.10712517744233, + "fos_buckling": 1.2995071160483918, + "fos_yielding": 1.6350085749233483, + "deflection": 0.005142188168199268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_2106", + "improvement_over_parent": null + }, + "node_2108": { + "node_id": "node_2108", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 283.70 kg\n Factor of Safety: 1.52\n Max Deflection: 4.25e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 283.69768545067967, + "fos_buckling": 1.5216306672841144, + "fos_yielding": 1.9787267928227474, + "deflection": 0.004253682176234795, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2107", + "improvement_over_parent": null + }, + "node_2109": { + "node_id": "node_2109", + "content": "MODIFICATION: Increase 1 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.27102997334424, + "fos_buckling": 1.5231117575669249, + "fos_yielding": 2.0127217932868016, + "deflection": 0.0040401553446676895, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.412)" + }, + "parent_node_id": "node_2108", + "improvement_over_parent": null + }, + "node_2110": { + "node_id": "node_2110", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2109", + "improvement_over_parent": null + }, + "node_2111": { + "node_id": "node_2111", + "content": "INITIAL DESIGN (Trace 303)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 155.83 kg\n Factor of Safety: 0.71\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": 155.83031626519352, + "fos_buckling": 0.705253839301641, + "fos_yielding": 1.145513401507604, + "deflection": 0.0076847601419005995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2112": { + "node_id": "node_2112", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 179.89 kg\n Factor of Safety: 0.81\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": 179.8932273210141, + "fos_buckling": 0.8061645883382278, + "fos_yielding": 1.321183824063749, + "deflection": 0.006664254614086343, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.163)" + }, + "parent_node_id": "node_2111", + "improvement_over_parent": null + }, + "node_2113": { + "node_id": "node_2113", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 219.56 kg\n Factor of Safety: 0.97\n Max Deflection: 5.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.56451243324375, + "fos_buckling": 0.9678581281215669, + "fos_yielding": 1.6100507145915228, + "deflection": 0.005470090028833084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_2112", + "improvement_over_parent": null + }, + "node_2114": { + "node_id": "node_2114", + "content": "MODIFICATION: Increase 10 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 230.08 kg\n Factor of Safety: 1.18\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": 230.07999762512617, + "fos_buckling": 1.17529413142258, + "fos_yielding": 1.643315557291233, + "deflection": 0.005101176569151229, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.445)" + }, + "parent_node_id": "node_2113", + "improvement_over_parent": null + }, + "node_2115": { + "node_id": "node_2115", + "content": "MODIFICATION: Increase 3 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 236.15 kg\n Factor of Safety: 1.27\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": 236.14999790489537, + "fos_buckling": 1.2734016767260217, + "fos_yielding": 1.6230020720561535, + "deflection": 0.005000626219040369, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.481)" + }, + "parent_node_id": "node_2114", + "improvement_over_parent": null + }, + "node_2116": { + "node_id": "node_2116", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.36 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.35937087595437, + "fos_buckling": 1.523198632676273, + "fos_yielding": 2.013585521039027, + "deflection": 0.004038813222255589, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2115", + "improvement_over_parent": null + }, + "node_2117": { + "node_id": "node_2117", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2116", + "improvement_over_parent": null + }, + "node_2118": { + "node_id": "node_2118", + "content": "INITIAL DESIGN (Trace 304)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 141.08 kg\n Factor of Safety: 0.20\n Max Deflection: 3.98e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.08033761629147, + "fos_buckling": 0.19869016258399086, + "fos_yielding": 0.6017687472340911, + "deflection": 39785828752335.664, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2119": { + "node_id": "node_2119", + "content": "MODIFICATION: Increase 6 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 147.93 kg\n Factor of Safety: 0.38\n Max Deflection: 9.42e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.92786795720508, + "fos_buckling": 0.3798048762556547, + "fos_yielding": 1.1233139741249853, + "deflection": 9419143631058.83, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.462)" + }, + "parent_node_id": "node_2118", + "improvement_over_parent": null + }, + "node_2120": { + "node_id": "node_2120", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 180.33 kg\n Factor of Safety: 0.65\n Max Deflection: 7.30e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.33151122994695, + "fos_buckling": 0.6541756675667487, + "fos_yielding": 1.024016979759138, + "deflection": 7295844493516.193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_2119", + "improvement_over_parent": null + }, + "node_2121": { + "node_id": "node_2121", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 217.64 kg\n Factor of Safety: 0.88\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.63901977002723, + "fos_buckling": 0.8834995617546114, + "fos_yielding": 1.2430870261874558, + "deflection": 0.007007184178272209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005160)" + }, + "parent_node_id": "node_2120", + "improvement_over_parent": null + }, + "node_2122": { + "node_id": "node_2122", + "content": "MODIFICATION: Increase 4 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 220.56 kg\n Factor of Safety: 0.88\n Max Deflection: 7.01e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 220.56405445656145, + "fos_buckling": 0.8834995617546114, + "fos_yielding": 1.9143203172478578, + "deflection": 0.007007184178272209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.582)" + }, + "parent_node_id": "node_2121", + "improvement_over_parent": null + }, + "node_2123": { + "node_id": "node_2123", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 240.97 kg\n Factor of Safety: 0.89\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.97056173364587, + "fos_buckling": 0.8943110685504758, + "fos_yielding": 1.923451994485476, + "deflection": 0.007015602773299918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004006)" + }, + "parent_node_id": "node_2122", + "improvement_over_parent": null + }, + "node_2124": { + "node_id": "node_2124", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 287.93 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.9258441120428, + "fos_buckling": 1.0364265742966743, + "fos_yielding": 2.295192252677474, + "deflection": 0.005880641699985397, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_2123", + "improvement_over_parent": null + }, + "node_2125": { + "node_id": "node_2125", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1396741458569, + "fos_buckling": 1.5227842383365382, + "fos_yielding": 2.011793095220969, + "deflection": 0.004041745603270491, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2124", + "improvement_over_parent": null + }, + "node_2126": { + "node_id": "node_2126", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 305)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 192.11 kg\n Factor of Safety: 0.83\n Max Deflection: 7.48e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.11375322345, + "fos_buckling": 0.8302081338649738, + "fos_yielding": 1.809566020949456, + "deflection": 0.007476140330118674, + "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: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n\nPerformance:\n Mass: 211.40 kg\n Factor of Safety: 0.83\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": 211.39670036003133, + "fos_buckling": 0.8291074770056106, + "fos_yielding": 1.5823471656039005, + "deflection": 0.0063120884699639345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003769)" + }, + "parent_node_id": "node_2127", + "improvement_over_parent": null + }, + "node_2129": { + "node_id": "node_2129", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n\nPerformance:\n Mass: 235.00 kg\n Factor of Safety: 0.91\n Max Deflection: 5.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.9961898927851, + "fos_buckling": 0.9061218318542443, + "fos_yielding": 1.7579904038658756, + "deflection": 0.005686463681859922, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2128", + "improvement_over_parent": null + }, + "node_2130": { + "node_id": "node_2130", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 267.29 kg\n Factor of Safety: 1.01\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": 267.2932592580672, + "fos_buckling": 1.006548403119574, + "fos_yielding": 1.998042252161064, + "deflection": 0.005009314029924293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2129", + "improvement_over_parent": null + }, + "node_2131": { + "node_id": "node_2131", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.190696400457, + "fos_buckling": 1.522736827690159, + "fos_yielding": 2.0121651341754805, + "deflection": 0.0040411988645082855, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2130", + "improvement_over_parent": null + }, + "node_2132": { + "node_id": "node_2132", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2131", + "improvement_over_parent": null + }, + "node_2133": { + "node_id": "node_2133", + "content": "INITIAL DESIGN (Trace 306)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 184.72 kg\n Factor of Safety: 0.87\n Max Deflection: 3.07e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.7248685171607, + "fos_buckling": 0.8675471565127447, + "fos_yielding": 1.8913710988032433, + "deflection": 307337257293.02106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2134": { + "node_id": "node_2134", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 189.28 kg\n Factor of Safety: 0.87\n Max Deflection: 2.13e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.28481093828765, + "fos_buckling": 0.867547156512745, + "fos_yielding": 1.8913710988032433, + "deflection": 213334798871.31982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.209)" + }, + "parent_node_id": "node_2133", + "improvement_over_parent": null + }, + "node_2135": { + "node_id": "node_2135", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 210.68 kg\n Factor of Safety: 0.87\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 210.68391201178, + "fos_buckling": 0.8713399262697898, + "fos_yielding": 1.8913710988032433, + "deflection": 0.007106023514021261, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004072)" + }, + "parent_node_id": "node_2134", + "improvement_over_parent": null + }, + "node_2136": { + "node_id": "node_2136", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 236.28 kg\n Factor of Safety: 0.88\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.28367053774537, + "fos_buckling": 0.8779662946135145, + "fos_yielding": 1.893235209973308, + "deflection": 0.007105175779306076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004243)" + }, + "parent_node_id": "node_2135", + "improvement_over_parent": null + }, + "node_2137": { + "node_id": "node_2137", + "content": "MODIFICATION: Increase 4 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0053)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 239.52 kg\n Factor of Safety: 0.87\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.5215294008895, + "fos_buckling": 0.8697576723092055, + "fos_yielding": 2.358706221694644, + "deflection": 0.007106227847797452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.439)" + }, + "parent_node_id": "node_2136", + "improvement_over_parent": null + }, + "node_2138": { + "node_id": "node_2138", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0053)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 243.83 kg\n Factor of Safety: 1.08\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": 243.82978100919007, + "fos_buckling": 1.0821533768539582, + "fos_yielding": 1.7501278538434513, + "deflection": 0.004876817016135606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002686)" + }, + "parent_node_id": "node_2137", + "improvement_over_parent": null + }, + "node_2139": { + "node_id": "node_2139", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0066)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 295.25 kg\n Factor of Safety: 1.29\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": 295.249154039028, + "fos_buckling": 1.2861783372087237, + "fos_yielding": 2.1257156508484054, + "deflection": 0.004038474576520004, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2138", + "improvement_over_parent": null + }, + "node_2140": { + "node_id": "node_2140", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2139", + "improvement_over_parent": null + }, + "node_2141": { + "node_id": "node_2141", + "content": "INITIAL DESIGN (Trace 307)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 189.71 kg\n Factor of Safety: 0.84\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": 189.71128053788738, + "fos_buckling": 0.8411160285854051, + "fos_yielding": 1.8373713822373827, + "deflection": 0.007360615301176107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2142": { + "node_id": "node_2142", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 210.50 kg\n Factor of Safety: 0.89\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": 210.4997223224859, + "fos_buckling": 0.8946127617969282, + "fos_yielding": 1.8373713822373827, + "deflection": 0.0060242581565310045, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003947)" + }, + "parent_node_id": "node_2141", + "improvement_over_parent": null + }, + "node_2143": { + "node_id": "node_2143", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 262.45 kg\n Factor of Safety: 1.07\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": 262.4530468858094, + "fos_buckling": 1.073271629459408, + "fos_yielding": 2.2898833501066775, + "deflection": 0.004847609901583273, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2142", + "improvement_over_parent": null + }, + "node_2144": { + "node_id": "node_2144", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.43 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.43159293488577, + "fos_buckling": 1.5236980104137492, + "fos_yielding": 2.0140899596191937, + "deflection": 0.004037753415447545, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2143", + "improvement_over_parent": null + }, + "node_2145": { + "node_id": "node_2145", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 308)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 143.47 kg\n Factor of Safety: 0.34\n Max Deflection: 1.63e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.46707937976188, + "fos_buckling": 0.33942870072885867, + "fos_yielding": 0.814998229586296, + "deflection": 0.016291160015436214, + "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 3 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 146.17 kg\n Factor of Safety: 0.37\n Max Deflection: 1.58e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.17361999377573, + "fos_buckling": 0.371421285574566, + "fos_yielding": 0.8148448537851858, + "deflection": 0.015797216427503872, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.196)" + }, + "parent_node_id": "node_2146", + "improvement_over_parent": null + }, + "node_2148": { + "node_id": "node_2148", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 172.51 kg\n Factor of Safety: 0.44\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": 172.50812862605636, + "fos_buckling": 0.44416318894033785, + "fos_yielding": 1.2760896396258457, + "deflection": 0.010418338733165212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003561)" + }, + "parent_node_id": "node_2147", + "improvement_over_parent": null + }, + "node_2149": { + "node_id": "node_2149", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 178.00 kg\n Factor of Safety: 0.44\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.99915321036195, + "fos_buckling": 0.44399512469919206, + "fos_yielding": 1.3066299396564995, + "deflection": 0.010196169102703575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.222)" + }, + "parent_node_id": "node_2148", + "improvement_over_parent": null + }, + "node_2150": { + "node_id": "node_2150", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 204.29 kg\n Factor of Safety: 0.50\n Max Deflection: 8.90e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.29083298980225, + "fos_buckling": 0.49948547142015115, + "fos_yielding": 1.5014299021952637, + "deflection": 0.00889596560664315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_2149", + "improvement_over_parent": null + }, + "node_2151": { + "node_id": "node_2151", + "content": "MODIFICATION: Increase 5 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 204.92 kg\n Factor of Safety: 0.50\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.91750919184312, + "fos_buckling": 0.4994424097072368, + "fos_yielding": 1.56157481743324, + "deflection": 0.008754643634562983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.185)" + }, + "parent_node_id": "node_2150", + "improvement_over_parent": null + }, + "node_2152": { + "node_id": "node_2152", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 240.32 kg\n Factor of Safety: 1.29\n Max Deflection: 4.92e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.3187922769292, + "fos_buckling": 1.2923087920482978, + "fos_yielding": 1.651437281681505, + "deflection": 0.004915199180871867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004966)" + }, + "parent_node_id": "node_2151", + "improvement_over_parent": null + }, + "node_2153": { + "node_id": "node_2153", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.28 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.279797022168, + "fos_buckling": 1.5228065039900953, + "fos_yielding": 2.012970494465788, + "deflection": 0.0040399933984270765, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2152", + "improvement_over_parent": null + }, + "node_2154": { + "node_id": "node_2154", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2153", + "improvement_over_parent": null + }, + "node_2155": { + "node_id": "node_2155", + "content": "INITIAL DESIGN (Trace 309)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 160.00 kg\n Factor of Safety: 0.47\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.00145331886225, + "fos_buckling": 0.47484797033630505, + "fos_yielding": 1.3976435090675219, + "deflection": 0.009751405562337457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2156": { + "node_id": "node_2156", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 196.99 kg\n Factor of Safety: 0.58\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": 196.98963194478665, + "fos_buckling": 0.5764617032903493, + "fos_yielding": 1.7167088089521534, + "deflection": 0.007915216836292892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2155", + "improvement_over_parent": null + }, + "node_2157": { + "node_id": "node_2157", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 225.17 kg\n Factor of Safety: 1.04\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": 225.16607185838276, + "fos_buckling": 1.0389072554063623, + "fos_yielding": 1.7388821682873825, + "deflection": 0.005510591688244232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004544)" + }, + "parent_node_id": "node_2156", + "improvement_over_parent": null + }, + "node_2158": { + "node_id": "node_2158", + "content": "MODIFICATION: Increase 5 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 226.41 kg\n Factor of Safety: 1.08\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": 226.4102971501455, + "fos_buckling": 1.0757058725905402, + "fos_yielding": 1.7289323419033196, + "deflection": 0.005398422809654741, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.418)" + }, + "parent_node_id": "node_2157", + "improvement_over_parent": null + }, + "node_2159": { + "node_id": "node_2159", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 231.64 kg\n Factor of Safety: 1.19\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": 231.64240326159185, + "fos_buckling": 1.1870999720249216, + "fos_yielding": 1.7277489532584258, + "deflection": 0.00523462110801461, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.244)" + }, + "parent_node_id": "node_2158", + "improvement_over_parent": null + }, + "node_2160": { + "node_id": "node_2160", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 270.90 kg\n Factor of Safety: 1.35\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": 270.902804688908, + "fos_buckling": 1.3519266209701082, + "fos_yielding": 2.016830745842785, + "deflection": 0.004484233266993573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.185)" + }, + "parent_node_id": "node_2159", + "improvement_over_parent": null + }, + "node_2161": { + "node_id": "node_2161", + "content": "MODIFICATION: Increase 7 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 281.37 kg\n Factor of Safety: 1.47\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.3718530644287, + "fos_buckling": 1.468310146333719, + "fos_yielding": 2.0151201171403614, + "deflection": 0.004319901385241997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.351)" + }, + "parent_node_id": "node_2160", + "improvement_over_parent": null + }, + "node_2162": { + "node_id": "node_2162", + "content": "MODIFICATION: Increase 0 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21894785290584, + "fos_buckling": 1.5227198895459597, + "fos_yielding": 2.012290852763643, + "deflection": 0.004040957958032572, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.587)" + }, + "parent_node_id": "node_2161", + "improvement_over_parent": null + }, + "node_2163": { + "node_id": "node_2163", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2162", + "improvement_over_parent": null + }, + "node_2164": { + "node_id": "node_2164", + "content": "INITIAL DESIGN (Trace 310)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 177.73 kg\n Factor of Safety: 0.44\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.72578879720618, + "fos_buckling": 0.4449053664698944, + "fos_yielding": 1.0194876536550472, + "deflection": 0.010280656464607532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2165": { + "node_id": "node_2165", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n\nPerformance:\n Mass: 208.65 kg\n Factor of Safety: 0.99\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": 208.65480268485223, + "fos_buckling": 0.9917816732039938, + "fos_yielding": 1.4429862667600692, + "deflection": 0.0056818633799863945, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004297)" + }, + "parent_node_id": "node_2164", + "improvement_over_parent": null + }, + "node_2166": { + "node_id": "node_2166", + "content": "MODIFICATION: Increase 4 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n\nPerformance:\n Mass: 209.94 kg\n Factor of Safety: 1.15\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": 209.9352961249008, + "fos_buckling": 1.1515674813550056, + "fos_yielding": 1.4434938076235675, + "deflection": 0.005616579278106762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.362)" + }, + "parent_node_id": "node_2165", + "improvement_over_parent": null + }, + "node_2167": { + "node_id": "node_2167", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 261.42 kg\n Factor of Safety: 1.39\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": 261.42025190003733, + "fos_buckling": 1.3867345791028027, + "fos_yielding": 1.795413839087774, + "deflection": 0.004523945231417388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.266)" + }, + "parent_node_id": "node_2166", + "improvement_over_parent": null + }, + "node_2168": { + "node_id": "node_2168", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29889734641284, + "fos_buckling": 1.523172261728103, + "fos_yielding": 2.0129079882576915, + "deflection": 0.004039695633875511, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2167", + "improvement_over_parent": null + }, + "node_2169": { + "node_id": "node_2169", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 311)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 216.83 kg\n Factor of Safety: 0.67\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": 216.8283067466504, + "fos_buckling": 0.6698380399181232, + "fos_yielding": 1.6473988346931498, + "deflection": 0.006593530500915121, + "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: Increase 9 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 229.42 kg\n Factor of Safety: 0.95\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.41620769085964, + "fos_buckling": 0.948652844656511, + "fos_yielding": 1.6469475033275451, + "deflection": 0.0057135622146339, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.527)" + }, + "parent_node_id": "node_2170", + "improvement_over_parent": null + }, + "node_2172": { + "node_id": "node_2172", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 250.42 kg\n Factor of Safety: 1.04\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": 250.42045907118992, + "fos_buckling": 1.0365628011245052, + "fos_yielding": 1.668034436833055, + "deflection": 0.004766842649331917, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004133)" + }, + "parent_node_id": "node_2171", + "improvement_over_parent": null + }, + "node_2173": { + "node_id": "node_2173", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 290.57 kg\n Factor of Safety: 1.19\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": 290.5686475938709, + "fos_buckling": 1.1876823133506436, + "fos_yielding": 1.9412574768085211, + "deflection": 0.004117063843316591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2172", + "improvement_over_parent": null + }, + "node_2174": { + "node_id": "node_2174", + "content": "MODIFICATION: Increase 4 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0053)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.18\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.19903342430223, + "fos_buckling": 1.17725631713542, + "fos_yielding": 1.924216267321381, + "deflection": 0.004056051868842272, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.590)" + }, + "parent_node_id": "node_2173", + "improvement_over_parent": null + }, + "node_2175": { + "node_id": "node_2175", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2174", + "improvement_over_parent": null + }, + "node_2176": { + "node_id": "node_2176", + "content": "INITIAL DESIGN (Trace 312)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 169.86 kg\n Factor of Safety: 0.73\n Max Deflection: 7.63e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.86497222423287, + "fos_buckling": 0.7270806121061463, + "fos_yielding": 1.4464515371529902, + "deflection": 0.0076329692559014535, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2177": { + "node_id": "node_2177", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 188.39 kg\n Factor of Safety: 0.80\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.39117958546635, + "fos_buckling": 0.7960104402011688, + "fos_yielding": 1.6039263844058258, + "deflection": 0.006890377716120797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_2176", + "improvement_over_parent": null + }, + "node_2178": { + "node_id": "node_2178", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 243.72 kg\n Factor of Safety: 0.99\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.7188850346912, + "fos_buckling": 0.989921097065552, + "fos_yielding": 2.0738894097896226, + "deflection": 0.00534469345180732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.319)" + }, + "parent_node_id": "node_2177", + "improvement_over_parent": null + }, + "node_2179": { + "node_id": "node_2179", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.56 kg\n Factor of Safety: 1.07\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": 268.5594949146373, + "fos_buckling": 1.071197624200024, + "fos_yielding": 2.284729769558348, + "deflection": 0.0048578823941991915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_2178", + "improvement_over_parent": null + }, + "node_2180": { + "node_id": "node_2180", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.94 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.94096687546937, + "fos_buckling": 1.521758961887391, + "fos_yielding": 2.0102695353821725, + "deflection": 0.004044693240706394, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2179", + "improvement_over_parent": null + }, + "node_2181": { + "node_id": "node_2181", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2180", + "improvement_over_parent": null + }, + "node_2182": { + "node_id": "node_2182", + "content": "INITIAL DESIGN (Trace 313)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 188.37 kg\n Factor of Safety: 1.01\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": 188.36606689008647, + "fos_buckling": 1.0127209144952314, + "fos_yielding": 1.3800410459141876, + "deflection": 0.0061289093620731875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2183": { + "node_id": "node_2183", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 232.52 kg\n Factor of Safety: 1.21\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": 232.51980621270397, + "fos_buckling": 1.2132411496601405, + "fos_yielding": 1.7005489965678564, + "deflection": 0.004978822418638705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_2182", + "improvement_over_parent": null + }, + "node_2184": { + "node_id": "node_2184", + "content": "MODIFICATION: Increase 8 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 242.02 kg\n Factor of Safety: 1.24\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": 242.02192561361815, + "fos_buckling": 1.2439331471697703, + "fos_yielding": 1.7016821512673264, + "deflection": 0.004857581133818969, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.560)" + }, + "parent_node_id": "node_2183", + "improvement_over_parent": null + }, + "node_2185": { + "node_id": "node_2185", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.62 kg\n Factor of Safety: 1.44\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": 286.61583731534597, + "fos_buckling": 1.4429308485566232, + "fos_yielding": 2.012588616122011, + "deflection": 0.004112486961466224, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_2184", + "improvement_over_parent": null + }, + "node_2186": { + "node_id": "node_2186", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.37054606529034, + "fos_buckling": 1.5236065820199227, + "fos_yielding": 2.013599992849524, + "deflection": 0.004038603476681529, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.387)" + }, + "parent_node_id": "node_2185", + "improvement_over_parent": null + }, + "node_2187": { + "node_id": "node_2187", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2186", + "improvement_over_parent": null + }, + "node_2188": { + "node_id": "node_2188", + "content": "INITIAL DESIGN (Trace 314)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 190.68 kg\n Factor of Safety: 0.12\n Max Deflection: 4.57e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.68446564099148, + "fos_buckling": 0.11977652103473597, + "fos_yielding": 0.28132684281909387, + "deflection": 45655447174795.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2189": { + "node_id": "node_2189", + "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 192.31 kg\n Factor of Safety: 0.12\n Max Deflection: 4.57e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.3133619640245, + "fos_buckling": 0.11977652103473597, + "fos_yielding": 0.28132684281909387, + "deflection": 45655447174795.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.330)" + }, + "parent_node_id": "node_2188", + "improvement_over_parent": null + }, + "node_2190": { + "node_id": "node_2190", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 216.69 kg\n Factor of Safety: 0.52\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.6948339248566, + "fos_buckling": 0.5227253752342734, + "fos_yielding": 1.5736953646183685, + "deflection": 0.008289747648402318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2189", + "improvement_over_parent": null + }, + "node_2191": { + "node_id": "node_2191", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 261.28 kg\n Factor of Safety: 1.01\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": 261.27676509280246, + "fos_buckling": 1.0070746057658093, + "fos_yielding": 1.9984818247548324, + "deflection": 0.005006784750147092, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2190", + "improvement_over_parent": null + }, + "node_2192": { + "node_id": "node_2192", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 287.17 kg\n Factor of Safety: 1.48\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": 287.17420223519224, + "fos_buckling": 1.48148445226038, + "fos_yielding": 2.0117351516239066, + "deflection": 0.004096603309178468, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2191", + "improvement_over_parent": null + }, + "node_2193": { + "node_id": "node_2193", + "content": "MODIFICATION: Increase 8 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0061)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.51 kg\n Factor of Safety: 1.48\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": 292.51377569207745, + "fos_buckling": 1.4794003010056023, + "fos_yielding": 1.9997928050228884, + "deflection": 0.004058997975700903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.247)" + }, + "parent_node_id": "node_2192", + "improvement_over_parent": null + }, + "node_2194": { + "node_id": "node_2194", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2193", + "improvement_over_parent": null + }, + "node_2195": { + "node_id": "node_2195", + "content": "INITIAL DESIGN (Trace 315)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 210.74 kg\n Factor of Safety: 0.32\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": 210.74371533520915, + "fos_buckling": 0.3216539819720252, + "fos_yielding": 1.4152220382469995, + "deflection": 0.024248678241705627, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2196": { + "node_id": "node_2196", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 250.80 kg\n Factor of Safety: 0.95\n Max Deflection: 6.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.79959293629915, + "fos_buckling": 0.9490766727112243, + "fos_yielding": 2.064872294022001, + "deflection": 0.006533346566463392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005573)" + }, + "parent_node_id": "node_2195", + "improvement_over_parent": null + }, + "node_2197": { + "node_id": "node_2197", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 258.80 kg\n Factor of Safety: 0.95\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.7959655638598, + "fos_buckling": 0.9494395370064165, + "fos_yielding": 2.064705952418101, + "deflection": 0.0065368654733606295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.623)" + }, + "parent_node_id": "node_2196", + "improvement_over_parent": null + }, + "node_2198": { + "node_id": "node_2198", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 263.48 kg\n Factor of Safety: 1.40\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": 263.4807087462028, + "fos_buckling": 1.3957400911426179, + "fos_yielding": 1.8094885509337548, + "deflection": 0.004489163256308756, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002941)" + }, + "parent_node_id": "node_2197", + "improvement_over_parent": null + }, + "node_2199": { + "node_id": "node_2199", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2118168581587, + "fos_buckling": 1.5227832661220368, + "fos_yielding": 2.012322651568615, + "deflection": 0.004040927685219848, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.124)" + }, + "parent_node_id": "node_2198", + "improvement_over_parent": null + }, + "node_2200": { + "node_id": "node_2200", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2199", + "improvement_over_parent": null + }, + "node_2201": { + "node_id": "node_2201", + "content": "INITIAL DESIGN (Trace 316)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 146.69 kg\n Factor of Safety: 0.14\n Max Deflection: 1.11e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.6902412258806, + "fos_buckling": 0.14147037368540283, + "fos_yielding": 0.15966575014110873, + "deflection": 111123974056644.14, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2202": { + "node_id": "node_2202", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 162.65 kg\n Factor of Safety: 0.36\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": 162.6519028467033, + "fos_buckling": 0.3647414847722063, + "fos_yielding": 0.8013786886726196, + "deflection": 0.011330485667224156, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003081)" + }, + "parent_node_id": "node_2201", + "improvement_over_parent": null + }, + "node_2203": { + "node_id": "node_2203", + "content": "MODIFICATION: Increase 1 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n\nPerformance:\n Mass: 166.93 kg\n Factor of Safety: 0.36\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.92881434388272, + "fos_buckling": 0.364633924177482, + "fos_yielding": 0.8013053115965959, + "deflection": 0.01133324730592058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.192)" + }, + "parent_node_id": "node_2202", + "improvement_over_parent": null + }, + "node_2204": { + "node_id": "node_2204", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n\nPerformance:\n Mass: 207.65 kg\n Factor of Safety: 0.44\n Max Deflection: 9.12e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.6508225985968, + "fos_buckling": 0.44137673045747067, + "fos_yielding": 1.0024985868894785, + "deflection": 0.009120306665903688, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_2203", + "improvement_over_parent": null + }, + "node_2205": { + "node_id": "node_2205", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 240.56 kg\n Factor of Safety: 0.44\n Max Deflection: 8.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.5633592302138, + "fos_buckling": 0.4403800452850527, + "fos_yielding": 1.0017936360583883, + "deflection": 0.008351439298269127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2204", + "improvement_over_parent": null + }, + "node_2206": { + "node_id": "node_2206", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 242.09 kg\n Factor of Safety: 0.44\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.09445224169377, + "fos_buckling": 0.44038004528505253, + "fos_yielding": 1.0017936360583883, + "deflection": 0.008329378355715652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.245)" + }, + "parent_node_id": "node_2205", + "improvement_over_parent": null + }, + "node_2207": { + "node_id": "node_2207", + "content": "MODIFICATION: Increase 6 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0100)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 265.14 kg\n Factor of Safety: 0.44\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.1357348293301, + "fos_buckling": 0.43968496419529557, + "fos_yielding": 1.0013007064842179, + "deflection": 0.00806543574173584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.626)" + }, + "parent_node_id": "node_2206", + "improvement_over_parent": null + }, + "node_2208": { + "node_id": "node_2208", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0100)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 309.72 kg\n Factor of Safety: 1.13\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": 309.71766599727596, + "fos_buckling": 1.1346554903979116, + "fos_yielding": 1.3084315301327203, + "deflection": 0.003920950740022911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2207", + "improvement_over_parent": null + }, + "node_2209": { + "node_id": "node_2209", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2208", + "improvement_over_parent": null + }, + "node_2210": { + "node_id": "node_2210", + "content": "INITIAL DESIGN (Trace 317)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 136.51 kg\n Factor of Safety: 0.65\n Max Deflection: 9.06e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.51174323947757, + "fos_buckling": 0.6489298702581369, + "fos_yielding": 0.8118425165720147, + "deflection": 0.00906139426351666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2211": { + "node_id": "node_2211", + "content": "MODIFICATION: Increase 5 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0016)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 138.52 kg\n Factor of Safety: 0.65\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": 138.51814447613262, + "fos_buckling": 0.6489298702581369, + "fos_yielding": 1.272652279898918, + "deflection": 0.009061394263516659, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.595)" + }, + "parent_node_id": "node_2210", + "improvement_over_parent": null + }, + "node_2212": { + "node_id": "node_2212", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 166.32 kg\n Factor of Safety: 0.76\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.32076886284807, + "fos_buckling": 0.7629069300174527, + "fos_yielding": 1.5268175263777823, + "deflection": 0.00756133129558203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2211", + "improvement_over_parent": null + }, + "node_2213": { + "node_id": "node_2213", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 209.69 kg\n Factor of Safety: 0.93\n Max Deflection: 6.02e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.68759486069413, + "fos_buckling": 0.9300215962382751, + "fos_yielding": 1.9223338840959727, + "deflection": 0.006015770374775287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_2212", + "improvement_over_parent": null + }, + "node_2214": { + "node_id": "node_2214", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 230.17 kg\n Factor of Safety: 1.20\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": 230.16957492589336, + "fos_buckling": 1.1974410519444971, + "fos_yielding": 1.690313834319362, + "deflection": 0.005028884360186944, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004022)" + }, + "parent_node_id": "node_2213", + "improvement_over_parent": null + }, + "node_2215": { + "node_id": "node_2215", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 274.19 kg\n Factor of Safety: 1.38\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": 274.19212683237754, + "fos_buckling": 1.3835032796641331, + "fos_yielding": 2.009943339850095, + "deflection": 0.004233093767763457, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2214", + "improvement_over_parent": null + }, + "node_2216": { + "node_id": "node_2216", + "content": "MODIFICATION: Increase 8 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0074)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 285.70 kg\n Factor of Safety: 1.38\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": 285.70110726970194, + "fos_buckling": 1.3804544788789765, + "fos_yielding": 1.9879723054592608, + "deflection": 0.00416387412259257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.427)" + }, + "parent_node_id": "node_2215", + "improvement_over_parent": null + }, + "node_2217": { + "node_id": "node_2217", + "content": "MODIFICATION: Increase 2 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0074)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 295.41 kg\n Factor of Safety: 1.45\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": 295.41112574208023, + "fos_buckling": 1.449517321480802, + "fos_yielding": 1.9893782400692388, + "deflection": 0.004066420585172356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.658)" + }, + "parent_node_id": "node_2216", + "improvement_over_parent": null + }, + "node_2218": { + "node_id": "node_2218", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2217", + "improvement_over_parent": null + }, + "node_2219": { + "node_id": "node_2219", + "content": "INITIAL DESIGN (Trace 318)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 174.48 kg\n Factor of Safety: 0.81\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.4763039363104, + "fos_buckling": 0.8106604362961742, + "fos_yielding": 1.7585389014066357, + "deflection": 0.007685121360263034, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2220": { + "node_id": "node_2220", + "content": "MODIFICATION: Increase 4 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 175.51 kg\n Factor of Safety: 0.81\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": 175.50985197476734, + "fos_buckling": 0.8105449432007042, + "fos_yielding": 1.7585389014066357, + "deflection": 0.007682543964711919, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.372)" + }, + "parent_node_id": "node_2219", + "improvement_over_parent": null + }, + "node_2221": { + "node_id": "node_2221", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 196.17 kg\n Factor of Safety: 0.86\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.16870333190263, + "fos_buckling": 0.8621038092246648, + "fos_yielding": 1.7585389014066357, + "deflection": 0.006369731708768637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003262)" + }, + "parent_node_id": "node_2220", + "improvement_over_parent": null + }, + "node_2222": { + "node_id": "node_2222", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 200.23 kg\n Factor of Safety: 0.86\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": 200.2255618953301, + "fos_buckling": 0.861863169876796, + "fos_yielding": 1.7580954329053216, + "deflection": 0.006371363644454161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.239)" + }, + "parent_node_id": "node_2221", + "improvement_over_parent": null + }, + "node_2223": { + "node_id": "node_2223", + "content": "MODIFICATION: Increase 8 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 210.80 kg\n Factor of Safety: 1.08\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": 210.79646730054355, + "fos_buckling": 1.0808308183382254, + "fos_yielding": 1.7580954329053213, + "deflection": 0.005896616095190766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.339)" + }, + "parent_node_id": "node_2222", + "improvement_over_parent": null + }, + "node_2224": { + "node_id": "node_2224", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0071)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n\nPerformance:\n Mass: 235.07 kg\n Factor of Safety: 1.18\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": 235.06676496258132, + "fos_buckling": 1.1756946186281896, + "fos_yielding": 1.9609261779993215, + "deflection": 0.00529733900548423, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_2223", + "improvement_over_parent": null + }, + "node_2225": { + "node_id": "node_2225", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0071)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 255.95 kg\n Factor of Safety: 1.31\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.95358916352254, + "fos_buckling": 1.3093098821002922, + "fos_yielding": 1.754144372760558, + "deflection": 0.004585513670988348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004108)" + }, + "parent_node_id": "node_2224", + "improvement_over_parent": null + }, + "node_2226": { + "node_id": "node_2226", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0048)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0084)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 298.40 kg\n Factor of Safety: 1.49\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": 298.399470791909, + "fos_buckling": 1.4858820760367069, + "fos_yielding": 2.0439503458379638, + "deflection": 0.003942608066323831, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2225", + "improvement_over_parent": null + }, + "node_2227": { + "node_id": "node_2227", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2226", + "improvement_over_parent": null + }, + "node_2228": { + "node_id": "node_2228", + "content": "INITIAL DESIGN (Trace 319)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n\nPerformance:\n Mass: 104.68 kg\n Factor of Safety: 0.26\n Max Deflection: 2.17e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.6839777655988, + "fos_buckling": 0.2622380498122321, + "fos_yielding": 0.9649820736328597, + "deflection": 21733760116698.99, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2229": { + "node_id": "node_2229", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n\nPerformance:\n Mass: 107.19 kg\n Factor of Safety: 0.28\n Max Deflection: 1.71e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 107.19250191604625, + "fos_buckling": 0.27705209351547694, + "fos_yielding": 0.7600966077259463, + "deflection": 0.01711638188274322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001516)" + }, + "parent_node_id": "node_2228", + "improvement_over_parent": null + }, + "node_2230": { + "node_id": "node_2230", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n\nPerformance:\n Mass: 135.28 kg\n Factor of Safety: 0.34\n Max Deflection: 1.36e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 135.2774027201714, + "fos_buckling": 0.341742022768879, + "fos_yielding": 0.9583597640781324, + "deflection": 0.01358515097562977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2229", + "improvement_over_parent": null + }, + "node_2231": { + "node_id": "node_2231", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 176.01 kg\n Factor of Safety: 0.43\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": 176.00811623210717, + "fos_buckling": 0.42979943872705745, + "fos_yielding": 1.2452455620601206, + "deflection": 0.010466211384082337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2230", + "improvement_over_parent": null + }, + "node_2232": { + "node_id": "node_2232", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 223.14 kg\n Factor of Safety: 0.52\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.13600553558564, + "fos_buckling": 0.5232416863051945, + "fos_yielding": 1.576233901315169, + "deflection": 0.008278356284993897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2231", + "improvement_over_parent": null + }, + "node_2233": { + "node_id": "node_2233", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 249.03 kg\n Factor of Safety: 0.52\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.03344267797542, + "fos_buckling": 0.5223122866051864, + "fos_yielding": 1.5753621467035788, + "deflection": 0.007507954310744267, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2232", + "improvement_over_parent": null + }, + "node_2234": { + "node_id": "node_2234", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0039)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.62 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.6153738459213, + "fos_buckling": 1.523412095294814, + "fos_yielding": 2.015756278595413, + "deflection": 0.004035398002345005, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2233", + "improvement_over_parent": null + }, + "node_2235": { + "node_id": "node_2235", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2234", + "improvement_over_parent": null + }, + "node_2236": { + "node_id": "node_2236", + "content": "INITIAL DESIGN (Trace 320)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 209.49 kg\n Factor of Safety: 1.01\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": 209.4859191916957, + "fos_buckling": 1.0124843714870961, + "fos_yielding": 1.59257656741936, + "deflection": 0.005814033917919219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2237": { + "node_id": "node_2237", + "content": "MODIFICATION: Increase 7 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 222.04 kg\n Factor of Safety: 1.21\n Max Deflection: 5.45e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.04410712404268, + "fos_buckling": 1.2142331740432355, + "fos_yielding": 1.590301012888652, + "deflection": 0.005447251425713087, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.626)" + }, + "parent_node_id": "node_2236", + "improvement_over_parent": null + }, + "node_2238": { + "node_id": "node_2238", + "content": "MODIFICATION: Increase 0 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 231.10 kg\n Factor of Safety: 1.25\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": 231.10149461656843, + "fos_buckling": 1.2504343264041857, + "fos_yielding": 1.5882113764895673, + "deflection": 0.005108443943514258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.548)" + }, + "parent_node_id": "node_2237", + "improvement_over_parent": null + }, + "node_2239": { + "node_id": "node_2239", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.204948078149, + "fos_buckling": 1.5227390246382682, + "fos_yielding": 2.012192507991465, + "deflection": 0.0040409630522108995, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2238", + "improvement_over_parent": null + }, + "node_2240": { + "node_id": "node_2240", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2239", + "improvement_over_parent": null + }, + "node_2241": { + "node_id": "node_2241", + "content": "INITIAL DESIGN (Trace 321)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 209.49 kg\n Factor of Safety: 0.04\n Max Deflection: 1.74e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.49324711663263, + "fos_buckling": 0.036140430924591474, + "fos_yielding": 0.13150258395278427, + "deflection": 174411663420653.28, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2242": { + "node_id": "node_2242", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 214.71 kg\n Factor of Safety: 0.96\n Max Deflection: 1.71e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.70707715044674, + "fos_buckling": 0.9592192499516959, + "fos_yielding": 1.4521938504786753, + "deflection": 17053911392062.475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2241", + "improvement_over_parent": null + }, + "node_2243": { + "node_id": "node_2243", + "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 217.12 kg\n Factor of Safety: 0.96\n Max Deflection: 1.71e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.1169220196245, + "fos_buckling": 0.9592192499516959, + "fos_yielding": 1.4521938504786753, + "deflection": 17053911392062.475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.570)" + }, + "parent_node_id": "node_2242", + "improvement_over_parent": null + }, + "node_2244": { + "node_id": "node_2244", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 250.03 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.0294586512415, + "fos_buckling": 0.5884040702063129, + "fos_yielding": 1.8999328722345763, + "deflection": 0.007194120924953243, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2243", + "improvement_over_parent": null + }, + "node_2245": { + "node_id": "node_2245", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22751658869373, + "fos_buckling": 1.5228820254298117, + "fos_yielding": 2.012441926712929, + "deflection": 0.004040707812509777, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2244", + "improvement_over_parent": null + }, + "node_2246": { + "node_id": "node_2246", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2245", + "improvement_over_parent": null + }, + "node_2247": { + "node_id": "node_2247", + "content": "INITIAL DESIGN (Trace 322)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 244.16 kg\n Factor of Safety: 0.93\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": 244.1632903013001, + "fos_buckling": 0.9260010997171215, + "fos_yielding": 2.005500050364755, + "deflection": 0.00672133741846565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2248": { + "node_id": "node_2248", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 279.80 kg\n Factor of Safety: 1.04\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": 279.79900823686125, + "fos_buckling": 1.035826657087091, + "fos_yielding": 2.295126119118127, + "deflection": 0.0058736763692874595, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2247", + "improvement_over_parent": null + }, + "node_2249": { + "node_id": "node_2249", + "content": "MODIFICATION: Increase 2 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.13 kg\n Factor of Safety: 1.04\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": 288.1326045547291, + "fos_buckling": 1.036990316111778, + "fos_yielding": 2.296862058099602, + "deflection": 0.005876904351941102, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.520)" + }, + "parent_node_id": "node_2248", + "improvement_over_parent": null + }, + "node_2250": { + "node_id": "node_2250", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.34643458854316, + "fos_buckling": 1.5233648787315177, + "fos_yielding": 2.0132919652943113, + "deflection": 0.004039124552504586, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2249", + "improvement_over_parent": null + }, + "node_2251": { + "node_id": "node_2251", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2250", + "improvement_over_parent": null + }, + "node_2252": { + "node_id": "node_2252", + "content": "INITIAL DESIGN (Trace 323)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 152.97 kg\n Factor of Safety: 0.81\n Max Deflection: 7.93e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.97120171140716, + "fos_buckling": 0.8132768382611529, + "fos_yielding": 1.1029116229869969, + "deflection": 0.007927216203799612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2253": { + "node_id": "node_2253", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 179.36 kg\n Factor of Safety: 0.94\n Max Deflection: 6.77e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.36459869142408, + "fos_buckling": 0.9440452148050372, + "fos_yielding": 1.2920298736792544, + "deflection": 0.006768734158821563, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2252", + "improvement_over_parent": null + }, + "node_2254": { + "node_id": "node_2254", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 219.78 kg\n Factor of Safety: 1.14\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.7801358677291, + "fos_buckling": 1.1387722606019022, + "fos_yielding": 1.5809236225988617, + "deflection": 0.005533923208361516, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.241)" + }, + "parent_node_id": "node_2253", + "improvement_over_parent": null + }, + "node_2255": { + "node_id": "node_2255", + "content": "MODIFICATION: Increase 5 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 220.62 kg\n Factor of Safety: 1.22\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": 220.62107754744093, + "fos_buckling": 1.2214023317592306, + "fos_yielding": 1.5753911380919257, + "deflection": 0.005464239667907823, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.279)" + }, + "parent_node_id": "node_2254", + "improvement_over_parent": null + }, + "node_2256": { + "node_id": "node_2256", + "content": "MODIFICATION: Increase 0 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 228.95 kg\n Factor of Safety: 1.24\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": 228.95044304848, + "fos_buckling": 1.2405459606867726, + "fos_yielding": 1.5735205654385647, + "deflection": 0.005155744036500061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.490)" + }, + "parent_node_id": "node_2255", + "improvement_over_parent": null + }, + "node_2257": { + "node_id": "node_2257", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.39552144649457, + "fos_buckling": 1.5235578248694812, + "fos_yielding": 2.0135113000397493, + "deflection": 0.004038344292239608, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_2256", + "improvement_over_parent": null + }, + "node_2258": { + "node_id": "node_2258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2257", + "improvement_over_parent": null + }, + "node_2259": { + "node_id": "node_2259", + "content": "INITIAL DESIGN (Trace 324)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 159.22 kg\n Factor of Safety: 0.99\n Max Deflection: 6.72e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.21713204528305, + "fos_buckling": 0.9885689182672599, + "fos_yielding": 1.8868031232760032, + "deflection": 6720359475018.991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2260": { + "node_id": "node_2260", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 193.29 kg\n Factor of Safety: 1.86\n Max Deflection: 1.03e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.28675721748, + "fos_buckling": 1.8632764156873667, + "fos_yielding": 1.1253073712763755, + "deflection": 10293298280955.232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2259", + "improvement_over_parent": null + }, + "node_2261": { + "node_id": "node_2261", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 224.27 kg\n Factor of Safety: 0.10\n Max Deflection: 1.18e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.26530326655634, + "fos_buckling": 0.09504488471897192, + "fos_yielding": 0.3892430006249031, + "deflection": 117719252698871.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2260", + "improvement_over_parent": null + }, + "node_2262": { + "node_id": "node_2262", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 267.46 kg\n Factor of Safety: 1.01\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": 267.46336120400855, + "fos_buckling": 1.0066934464724793, + "fos_yielding": 1.9997768259638906, + "deflection": 0.005006445067651327, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2261", + "improvement_over_parent": null + }, + "node_2263": { + "node_id": "node_2263", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.36 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3607983463983, + "fos_buckling": 1.5236080412290989, + "fos_yielding": 2.013910156349437, + "deflection": 0.004038681756162034, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2262", + "improvement_over_parent": null + }, + "node_2264": { + "node_id": "node_2264", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2263", + "improvement_over_parent": null + }, + "node_2265": { + "node_id": "node_2265", + "content": "INITIAL DESIGN (Trace 325)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, 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_2266": { + "node_id": "node_2266", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n\nPerformance:\n Mass: 134.15 kg\n Factor of Safety: 0.30\n Max Deflection: 4.74e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.1474371500963, + "fos_buckling": 0.30432074920996555, + "fos_yielding": 1.2160646729817197, + "deflection": 47406274335443.164, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003657)" + }, + "parent_node_id": "node_2265", + "improvement_over_parent": null + }, + "node_2267": { + "node_id": "node_2267", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 157.97 kg\n Factor of Safety: 0.42\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.96878181607002, + "fos_buckling": 0.4203171505438678, + "fos_yielding": 1.0294692916368602, + "deflection": 0.014311526891659994, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003927)" + }, + "parent_node_id": "node_2266", + "improvement_over_parent": null + }, + "node_2268": { + "node_id": "node_2268", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 205.46 kg\n Factor of Safety: 0.52\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.46361235796786, + "fos_buckling": 0.5231942401380573, + "fos_yielding": 1.3377962526869587, + "deflection": 0.011032443451621939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.330)" + }, + "parent_node_id": "node_2267", + "improvement_over_parent": null + }, + "node_2269": { + "node_id": "node_2269", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 248.66 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.6616702954201, + "fos_buckling": 0.5216440641147452, + "fos_yielding": 1.572710088253061, + "deflection": 0.007519806328576212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2268", + "improvement_over_parent": null + }, + "node_2270": { + "node_id": "node_2270", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.24360146336596, + "fos_buckling": 1.5229383268035952, + "fos_yielding": 2.0125454265300604, + "deflection": 0.004040474716090804, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2269", + "improvement_over_parent": null + }, + "node_2271": { + "node_id": "node_2271", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2270", + "improvement_over_parent": null + }, + "node_2272": { + "node_id": "node_2272", + "content": "INITIAL DESIGN (Trace 326)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 127.18 kg\n Factor of Safety: 0.57\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": 127.17873998370985, + "fos_buckling": 0.5735449839491519, + "fos_yielding": 1.11084910063916, + "deflection": 0.009918512671023585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2273": { + "node_id": "node_2273", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 152.71 kg\n Factor of Safety: 0.68\n Max Deflection: 8.27e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.71116387473677, + "fos_buckling": 0.6764858426264574, + "fos_yielding": 1.3335858785612653, + "deflection": 0.00827359942713587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2272", + "improvement_over_parent": null + }, + "node_2274": { + "node_id": "node_2274", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n\nPerformance:\n Mass: 170.74 kg\n Factor of Safety: 0.96\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.73938321966844, + "fos_buckling": 0.9601747159309602, + "fos_yielding": 1.17516093795185, + "deflection": 0.006890003042624983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002922)" + }, + "parent_node_id": "node_2273", + "improvement_over_parent": null + }, + "node_2275": { + "node_id": "node_2275", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n\nPerformance:\n Mass: 218.54 kg\n Factor of Safety: 1.19\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": 218.54499587081162, + "fos_buckling": 1.1921668167902975, + "fos_yielding": 1.5025717246466745, + "deflection": 0.005397861583810668, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2274", + "improvement_over_parent": null + }, + "node_2276": { + "node_id": "node_2276", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0053)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0056)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 266.40 kg\n Factor of Safety: 1.41\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": 266.4042675040515, + "fos_buckling": 1.408514914010353, + "fos_yielding": 1.8296421585184137, + "deflection": 0.004440469896365068, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_2275", + "improvement_over_parent": null + }, + "node_2277": { + "node_id": "node_2277", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.31016740153586, + "fos_buckling": 1.523203762474534, + "fos_yielding": 2.0132069727689097, + "deflection": 0.00403943260139378, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.111)" + }, + "parent_node_id": "node_2276", + "improvement_over_parent": null + }, + "node_2278": { + "node_id": "node_2278", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2277", + "improvement_over_parent": null + }, + "node_2279": { + "node_id": "node_2279", + "content": "INITIAL DESIGN (Trace 327)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 188.62 kg\n Factor of Safety: 0.74\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": 188.6201510300775, + "fos_buckling": 0.7434905854373548, + "fos_yielding": 0.8245562604205015, + "deflection": 0.006345269070585838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2280": { + "node_id": "node_2280", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.15 kg\n Factor of Safety: 0.90\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": 231.14924565410792, + "fos_buckling": 0.9011213227162073, + "fos_yielding": 1.014777367017985, + "deflection": 0.005189052523627448, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_2279", + "improvement_over_parent": null + }, + "node_2281": { + "node_id": "node_2281", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 289.52 kg\n Factor of Safety: 1.11\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": 289.51895823294166, + "fos_buckling": 1.1114016557979824, + "fos_yielding": 1.2790452799079863, + "deflection": 0.004155126113320962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2280", + "improvement_over_parent": null + }, + "node_2282": { + "node_id": "node_2282", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25760134571516, + "fos_buckling": 1.5230024569826346, + "fos_yielding": 2.012347191900936, + "deflection": 0.004040276481885098, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.658)" + }, + "parent_node_id": "node_2281", + "improvement_over_parent": null + }, + "node_2283": { + "node_id": "node_2283", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2282", + "improvement_over_parent": null + }, + "node_2284": { + "node_id": "node_2284", + "content": "INITIAL DESIGN (Trace 328)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0013)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0015)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0021)]\n\nPerformance:\n Mass: 91.72 kg\n Factor of Safety: 0.43\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 91.71647572343063, + "fos_buckling": 0.4317368050227795, + "fos_yielding": 0.8170387914844391, + "deflection": 0.014179456952916877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2285": { + "node_id": "node_2285", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0025)]\n\nPerformance:\n Mass: 109.71 kg\n Factor of Safety: 0.51\n Max Deflection: 1.19e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.7089935672177, + "fos_buckling": 0.5099014259128662, + "fos_yielding": 0.9769697296635752, + "deflection": 0.011866230766888584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2284", + "improvement_over_parent": null + }, + "node_2286": { + "node_id": "node_2286", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0025)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n\nPerformance:\n Mass: 120.11 kg\n Factor of Safety: 0.70\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": 120.11494358824537, + "fos_buckling": 0.7021126268787126, + "fos_yielding": 0.8627291750474559, + "deflection": 0.01001530606364403, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001969)" + }, + "parent_node_id": "node_2285", + "improvement_over_parent": null + }, + "node_2287": { + "node_id": "node_2287", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n\nPerformance:\n Mass: 155.36 kg\n Factor of Safety: 0.89\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": 155.35608318869978, + "fos_buckling": 0.8882397779293341, + "fos_yielding": 1.1145909736210418, + "deflection": 0.007756750594365169, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2286", + "improvement_over_parent": null + }, + "node_2288": { + "node_id": "node_2288", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n\nPerformance:\n Mass: 199.83 kg\n Factor of Safety: 1.11\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.82642434590923, + "fos_buckling": 1.1104567240019132, + "fos_yielding": 1.4315722104897943, + "deflection": 0.006043481032459129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2287", + "improvement_over_parent": null + }, + "node_2289": { + "node_id": "node_2289", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 241.34 kg\n Factor of Safety: 1.31\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.34404835026623, + "fos_buckling": 1.3053049207874525, + "fos_yielding": 1.7266420704379495, + "deflection": 0.0050137471317801665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2288", + "improvement_over_parent": null + }, + "node_2290": { + "node_id": "node_2290", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 281.46 kg\n Factor of Safety: 1.48\n Max Deflection: 4.31e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.4559399632612, + "fos_buckling": 1.4821131563521137, + "fos_yielding": 2.010907520891956, + "deflection": 0.0043073233155538695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_2289", + "improvement_over_parent": null + }, + "node_2291": { + "node_id": "node_2291", + "content": "MODIFICATION: Increase 0 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.61 kg\n Factor of Safety: 1.52\n Max Deflection: 4.05e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.6115207470867, + "fos_buckling": 1.5204466542110664, + "fos_yielding": 2.008295901561929, + "deflection": 0.004049183874724711, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.538)" + }, + "parent_node_id": "node_2290", + "improvement_over_parent": null + }, + "node_2292": { + "node_id": "node_2292", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2291", + "improvement_over_parent": null + }, + "node_2293": { + "node_id": "node_2293", + "content": "INITIAL DESIGN (Trace 329)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 216.84 kg\n Factor of Safety: 1.10\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": 216.84428364814454, + "fos_buckling": 1.098534841455635, + "fos_yielding": 1.5532529275182831, + "deflection": 0.005408358606158988, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2294": { + "node_id": "node_2294", + "content": "MODIFICATION: Increase 3 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 222.94 kg\n Factor of Safety: 1.21\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": 222.94209425478329, + "fos_buckling": 1.2127301949112579, + "fos_yielding": 1.5325106256404968, + "deflection": 0.005292913261299392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.524)" + }, + "parent_node_id": "node_2293", + "improvement_over_parent": null + }, + "node_2295": { + "node_id": "node_2295", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 260.15 kg\n Factor of Safety: 1.38\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": 260.1493650518051, + "fos_buckling": 1.381168844760257, + "fos_yielding": 1.7867746700281348, + "deflection": 0.004545719870182622, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_2294", + "improvement_over_parent": null + }, + "node_2296": { + "node_id": "node_2296", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29491540483264, + "fos_buckling": 1.5231751421489337, + "fos_yielding": 2.0129231104250023, + "deflection": 0.0040397577756491766, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_2295", + "improvement_over_parent": null + }, + "node_2297": { + "node_id": "node_2297", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2296", + "improvement_over_parent": null + }, + "node_2298": { + "node_id": "node_2298", + "content": "INITIAL DESIGN (Trace 330)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 137.66 kg\n Factor of Safety: 0.62\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.6646022285506, + "fos_buckling": 0.6202909429481251, + "fos_yielding": 1.297436299482834, + "deflection": 0.010389740188134005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2299": { + "node_id": "node_2299", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n\nPerformance:\n Mass: 152.34 kg\n Factor of Safety: 0.66\n Max Deflection: 8.50e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.33922635016575, + "fos_buckling": 0.6600179275429225, + "fos_yielding": 1.297436299482834, + "deflection": 0.008501688029306587, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002727)" + }, + "parent_node_id": "node_2298", + "improvement_over_parent": null + }, + "node_2300": { + "node_id": "node_2300", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n\nPerformance:\n Mass: 185.76 kg\n Factor of Safety: 0.79\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": 185.75562965774895, + "fos_buckling": 0.7863307549436098, + "fos_yielding": 1.581535057765251, + "deflection": 0.00698696642160687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.233)" + }, + "parent_node_id": "node_2299", + "improvement_over_parent": null + }, + "node_2301": { + "node_id": "node_2301", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n\nPerformance:\n Mass: 202.60 kg\n Factor of Safety: 1.12\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": 202.60451789816463, + "fos_buckling": 1.1166130483271821, + "fos_yielding": 1.3933318278891729, + "deflection": 0.005817350196935939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003263)" + }, + "parent_node_id": "node_2300", + "improvement_over_parent": null + }, + "node_2302": { + "node_id": "node_2302", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 243.03 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": 243.03040009519538, + "fos_buckling": 1.3048724223381998, + "fos_yielding": 1.6698212744268124, + "deflection": 0.004861100537237868, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_2301", + "improvement_over_parent": null + }, + "node_2303": { + "node_id": "node_2303", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.83 kg\n Factor of Safety: 1.52\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": 292.8305773884658, + "fos_buckling": 1.5212520765308182, + "fos_yielding": 2.009733302621702, + "deflection": 0.0040460671830606, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2302", + "improvement_over_parent": null + }, + "node_2304": { + "node_id": "node_2304", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2303", + "improvement_over_parent": null + }, + "node_2305": { + "node_id": "node_2305", + "content": "INITIAL DESIGN (Trace 331)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 182.22 kg\n Factor of Safety: 0.31\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": 182.22274018171345, + "fos_buckling": 0.31403463521652275, + "fos_yielding": 0.60803233649086, + "deflection": 51717057995167.71, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2306": { + "node_id": "node_2306", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 186.82 kg\n Factor of Safety: 0.53\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": 186.82234544225633, + "fos_buckling": 0.5322248028318167, + "fos_yielding": 1.5577401751927735, + "deflection": 0.008864482513541322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002883)" + }, + "parent_node_id": "node_2305", + "improvement_over_parent": null + }, + "node_2307": { + "node_id": "node_2307", + "content": "MODIFICATION: Increase 6 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 195.18 kg\n Factor of Safety: 0.53\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.17593211060293, + "fos_buckling": 0.531918806373257, + "fos_yielding": 1.5577401751927735, + "deflection": 0.008334144812138405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.321)" + }, + "parent_node_id": "node_2306", + "improvement_over_parent": null + }, + "node_2308": { + "node_id": "node_2308", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0071)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 221.19 kg\n Factor of Safety: 0.59\n Max Deflection: 7.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.1924383939668, + "fos_buckling": 0.5895082796421628, + "fos_yielding": 1.7710184273141452, + "deflection": 0.0073692768919533394, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2307", + "improvement_over_parent": null + }, + "node_2309": { + "node_id": "node_2309", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0071)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 264.39 kg\n Factor of Safety: 1.07\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": 264.390496331419, + "fos_buckling": 1.0723190809851446, + "fos_yielding": 1.7710184273141452, + "deflection": 0.004865342779773363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2308", + "improvement_over_parent": null + }, + "node_2310": { + "node_id": "node_2310", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0071)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 269.31 kg\n Factor of Safety: 1.07\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.3127853798811, + "fos_buckling": 1.071957618514704, + "fos_yielding": 1.7710184273141452, + "deflection": 0.004784252163071434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.186)" + }, + "parent_node_id": "node_2309", + "improvement_over_parent": null + }, + "node_2311": { + "node_id": "node_2311", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0071)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 300.29 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": 300.2913314289575, + "fos_buckling": 1.3307615148896295, + "fos_yielding": 1.5710442193731702, + "deflection": 0.0040351819746833285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2310", + "improvement_over_parent": null + }, + "node_2312": { + "node_id": "node_2312", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2311", + "improvement_over_parent": null + }, + "node_2313": { + "node_id": "node_2313", + "content": "INITIAL DESIGN (Trace 332)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 207.97 kg\n Factor of Safety: 0.79\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": 207.97171853150263, + "fos_buckling": 0.7868070529689811, + "fos_yielding": 1.6849456803597829, + "deflection": 0.00836736881047443, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2314": { + "node_id": "node_2314", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n\nPerformance:\n Mass: 210.49 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": 210.4881864094048, + "fos_buckling": 0.9623088259393158, + "fos_yielding": 1.483768284102212, + "deflection": 0.005766558956330614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001521)" + }, + "parent_node_id": "node_2313", + "improvement_over_parent": null + }, + "node_2315": { + "node_id": "node_2315", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n\nPerformance:\n Mass: 258.06 kg\n Factor of Safety: 1.16\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": 258.0578590203888, + "fos_buckling": 1.1649774600572187, + "fos_yielding": 1.8164825463626015, + "deflection": 0.00471345468634345, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.245)" + }, + "parent_node_id": "node_2314", + "improvement_over_parent": null + }, + "node_2316": { + "node_id": "node_2316", + "content": "MODIFICATION: Increase 1 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n\nPerformance:\n Mass: 264.12 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": 264.11509804966573, + "fos_buckling": 1.21628911891715, + "fos_yielding": 1.8366110230995583, + "deflection": 0.004554168640303342, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.256)" + }, + "parent_node_id": "node_2315", + "improvement_over_parent": null + }, + "node_2317": { + "node_id": "node_2317", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n\nPerformance:\n Mass: 291.52 kg\n Factor of Safety: 1.33\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 291.52352061838127, + "fos_buckling": 1.3327128852613808, + "fos_yielding": 2.0257281573112937, + "deflection": 0.004131578201621544, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2316", + "improvement_over_parent": null + }, + "node_2318": { + "node_id": "node_2318", + "content": "MODIFICATION: Increase 5 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0072)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n\nPerformance:\n Mass: 296.37 kg\n Factor of Safety: 1.29\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": 296.3713118088406, + "fos_buckling": 1.2872892846566157, + "fos_yielding": 2.848331178883909, + "deflection": 0.004071029815283011, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.567)" + }, + "parent_node_id": "node_2317", + "improvement_over_parent": null + }, + "node_2319": { + "node_id": "node_2319", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2318", + "improvement_over_parent": null + }, + "node_2320": { + "node_id": "node_2320", + "content": "INITIAL DESIGN (Trace 333)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\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_2321": { + "node_id": "node_2321", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 180.11 kg\n Factor of Safety: 0.51\n Max Deflection: 9.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.10660341216482, + "fos_buckling": 0.5103800785963223, + "fos_yielding": 1.409195687355005, + "deflection": 0.009557985101067508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004017)" + }, + "parent_node_id": "node_2320", + "improvement_over_parent": null + }, + "node_2322": { + "node_id": "node_2322", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 214.76 kg\n Factor of Safety: 0.59\n Max Deflection: 8.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.76174113808128, + "fos_buckling": 0.5899071188193199, + "fos_yielding": 1.6872555257637663, + "deflection": 0.008030713744246907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.211)" + }, + "parent_node_id": "node_2321", + "improvement_over_parent": null + }, + "node_2323": { + "node_id": "node_2323", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 245.74 kg\n Factor of Safety: 0.59\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.74028718715763, + "fos_buckling": 0.588653519616016, + "fos_yielding": 1.492793387614411, + "deflection": 0.007572293384009366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2322", + "improvement_over_parent": null + }, + "node_2324": { + "node_id": "node_2324", + "content": "MODIFICATION: Increase 6 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0075)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 256.98 kg\n Factor of Safety: 0.59\n Max Deflection: 7.04e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.98298066449235, + "fos_buckling": 0.5881998817042062, + "fos_yielding": 1.4933360717942425, + "deflection": 0.007037225523318433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.391)" + }, + "parent_node_id": "node_2323", + "improvement_over_parent": null + }, + "node_2325": { + "node_id": "node_2325", + "content": "MODIFICATION: Increase 5 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0075)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 260.55 kg\n Factor of Safety: 0.59\n Max Deflection: 6.97e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.5491843754195, + "fos_buckling": 0.5881998817042062, + "fos_yielding": 1.4572280013917245, + "deflection": 0.006969794698258472, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.538)" + }, + "parent_node_id": "node_2324", + "improvement_over_parent": null + }, + "node_2326": { + "node_id": "node_2326", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0075)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 303.75 kg\n Factor of Safety: 1.29\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": 303.7472423128717, + "fos_buckling": 1.291398091492323, + "fos_yielding": 2.2129210109930626, + "deflection": 0.004046507147401571, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2325", + "improvement_over_parent": null + }, + "node_2327": { + "node_id": "node_2327", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 334)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 149.16 kg\n Factor of Safety: 0.67\n Max Deflection: 9.52e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.15900576068034, + "fos_buckling": 0.6710504202870039, + "fos_yielding": 1.1390249421433685, + "deflection": 0.009521157678947336, + "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 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 187.32 kg\n Factor of Safety: 0.82\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.32153804852976, + "fos_buckling": 0.8180819553386509, + "fos_yielding": 1.4341847275146542, + "deflection": 0.007604547105268268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2328", + "improvement_over_parent": null + }, + "node_2330": { + "node_id": "node_2330", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 240.95 kg\n Factor of Safety: 1.01\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": 240.94726814056884, + "fos_buckling": 1.0079926901674006, + "fos_yielding": 1.8521022417116657, + "deflection": 0.005937374963529908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2329", + "improvement_over_parent": null + }, + "node_2331": { + "node_id": "node_2331", + "content": "MODIFICATION: Increase 4 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 242.84 kg\n Factor of Safety: 1.01\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.8436626731953, + "fos_buckling": 1.0079926901674006, + "fos_yielding": 2.2870323228471925, + "deflection": 0.005937374963529908, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.258)" + }, + "parent_node_id": "node_2330", + "improvement_over_parent": null + }, + "node_2332": { + "node_id": "node_2332", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 268.74 kg\n Factor of Safety: 1.07\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": 268.7410998155851, + "fos_buckling": 1.071733297273204, + "fos_yielding": 2.287032322847193, + "deflection": 0.004854805961752279, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2331", + "improvement_over_parent": null + }, + "node_2333": { + "node_id": "node_2333", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.12 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1225717764172, + "fos_buckling": 1.5224766916367645, + "fos_yielding": 2.012309210590259, + "deflection": 0.004042174053544115, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2332", + "improvement_over_parent": null + }, + "node_2334": { + "node_id": "node_2334", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2333", + "improvement_over_parent": null + }, + "node_2335": { + "node_id": "node_2335", + "content": "INITIAL DESIGN (Trace 335)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 224.93 kg\n Factor of Safety: 0.86\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": 224.9293036704453, + "fos_buckling": 0.8602780982749638, + "fos_yielding": 1.8399959079685266, + "deflection": 0.007335939848360184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2336": { + "node_id": "node_2336", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 229.10 kg\n Factor of Safety: 1.23\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": 229.10033873158628, + "fos_buckling": 1.2273257355856535, + "fos_yielding": 1.6271570009317737, + "deflection": 0.005110250475274017, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002594)" + }, + "parent_node_id": "node_2335", + "improvement_over_parent": null + }, + "node_2337": { + "node_id": "node_2337", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0064)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 238.95 kg\n Factor of Safety: 1.27\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": 238.9523052764161, + "fos_buckling": 1.2742989108450993, + "fos_yielding": 1.647348412715479, + "deflection": 0.004898801461791684, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.304)" + }, + "parent_node_id": "node_2336", + "improvement_over_parent": null + }, + "node_2338": { + "node_id": "node_2338", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0082)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 298.34 kg\n Factor of Safety: 1.53\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": 298.3365228520365, + "fos_buckling": 1.5314234788821823, + "fos_yielding": 2.0550494882981627, + "deflection": 0.003937274034562723, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2337", + "improvement_over_parent": null + }, + "node_2339": { + "node_id": "node_2339", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2338", + "improvement_over_parent": null + }, + "node_2340": { + "node_id": "node_2340", + "content": "INITIAL DESIGN (Trace 336)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2341": { + "node_id": "node_2341", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 205.61 kg\n Factor of Safety: 0.48\n Max Deflection: 1.20e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.61382103227191, + "fos_buckling": 0.4791060841389439, + "fos_yielding": 1.1253073712763755, + "deflection": 11977328342958.215, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2340", + "improvement_over_parent": null + }, + "node_2342": { + "node_id": "node_2342", + "content": "MODIFICATION: Increase 1 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 217.13 kg\n Factor of Safety: 0.08\n Max Deflection: 4.53e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.13060015360153, + "fos_buckling": 0.08166960985734331, + "fos_yielding": 0.29716758909337293, + "deflection": 45277784183684.26, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.536)" + }, + "parent_node_id": "node_2341", + "improvement_over_parent": null + }, + "node_2343": { + "node_id": "node_2343", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 250.04 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.04313678521854, + "fos_buckling": 0.5883780873673878, + "fos_yielding": 1.900531882653321, + "deflection": 0.007193734985530524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2342", + "improvement_over_parent": null + }, + "node_2344": { + "node_id": "node_2344", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.24119472267074, + "fos_buckling": 1.5227923858536287, + "fos_yielding": 2.012474552890266, + "deflection": 0.004040450929344393, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2343", + "improvement_over_parent": null + }, + "node_2345": { + "node_id": "node_2345", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2344", + "improvement_over_parent": null + }, + "node_2346": { + "node_id": "node_2346", + "content": "INITIAL DESIGN (Trace 337)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0018)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 147.16 kg\n Factor of Safety: 0.35\n Max Deflection: 1.23e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.16277447321363, + "fos_buckling": 0.34576560997526634, + "fos_yielding": 0.9715613956370582, + "deflection": 0.012298521393070647, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2347": { + "node_id": "node_2347", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 188.94 kg\n Factor of Safety: 0.43\n Max Deflection: 9.60e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.94465651782843, + "fos_buckling": 0.4295037718092287, + "fos_yielding": 1.2451932218246653, + "deflection": 0.009603932070440128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2346", + "improvement_over_parent": null + }, + "node_2348": { + "node_id": "node_2348", + "content": "MODIFICATION: Increase 2 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 196.51 kg\n Factor of Safety: 0.43\n Max Deflection: 9.49e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.51021826315508, + "fos_buckling": 0.4292801344829236, + "fos_yielding": 1.244991703061864, + "deflection": 0.009487320915886497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.629)" + }, + "parent_node_id": "node_2347", + "improvement_over_parent": null + }, + "node_2349": { + "node_id": "node_2349", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.78 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.77658425165185, + "fos_buckling": 0.5218177353386149, + "fos_yielding": 1.5735234691949898, + "deflection": 0.007516242075707082, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2348", + "improvement_over_parent": null + }, + "node_2350": { + "node_id": "node_2350", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.36 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3585154195977, + "fos_buckling": 1.5230756499229277, + "fos_yielding": 2.0135332336766294, + "deflection": 0.004038893758591001, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2349", + "improvement_over_parent": null + }, + "node_2351": { + "node_id": "node_2351", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2350", + "improvement_over_parent": null + }, + "node_2352": { + "node_id": "node_2352", + "content": "INITIAL DESIGN (Trace 338)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 157.80 kg\n Factor of Safety: 0.92\n Max Deflection: 7.60e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 157.79641822321196, + "fos_buckling": 0.9213344428613589, + "fos_yielding": 1.1040734531583818, + "deflection": 0.00759514485783927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2353": { + "node_id": "node_2353", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 199.27 kg\n Factor of Safety: 1.13\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": 199.2687996098218, + "fos_buckling": 1.1319542211516613, + "fos_yielding": 1.3927214633261737, + "deflection": 0.006027007775168425, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2352", + "improvement_over_parent": null + }, + "node_2354": { + "node_id": "node_2354", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 253.04 kg\n Factor of Safety: 1.39\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": 253.04027819209273, + "fos_buckling": 1.3858332192957414, + "fos_yielding": 1.766011890670901, + "deflection": 0.004758993447601885, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2353", + "improvement_over_parent": null + }, + "node_2355": { + "node_id": "node_2355", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.75 kg\n Factor of Safety: 1.52\n Max Deflection: 4.25e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 283.75093894889335, + "fos_buckling": 1.5211886393939442, + "fos_yielding": 1.9787196674723, + "deflection": 0.004250351448941371, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.133)" + }, + "parent_node_id": "node_2354", + "improvement_over_parent": null + }, + "node_2356": { + "node_id": "node_2356", + "content": "MODIFICATION: Increase 1 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.18 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1757991440328, + "fos_buckling": 1.5223559710078505, + "fos_yielding": 2.011994774505306, + "deflection": 0.004041273866945459, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.403)" + }, + "parent_node_id": "node_2355", + "improvement_over_parent": null + }, + "node_2357": { + "node_id": "node_2357", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2356", + "improvement_over_parent": null + }, + "node_2358": { + "node_id": "node_2358", + "content": "INITIAL DESIGN (Trace 339)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 159.66 kg\n Factor of Safety: 0.38\n Max Deflection: 3.01e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 159.65988829965028, + "fos_buckling": 0.378318701524807, + "fos_yielding": 1.2940570817496198, + "deflection": 0.03014701739946757, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2359": { + "node_id": "node_2359", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 200.29 kg\n Factor of Safety: 0.46\n Max Deflection: 2.41e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.28628466265445, + "fos_buckling": 0.4606069786121158, + "fos_yielding": 1.619008661515546, + "deflection": 0.0240617526780101, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2358", + "improvement_over_parent": null + }, + "node_2360": { + "node_id": "node_2360", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 204.71 kg\n Factor of Safety: 0.51\n Max Deflection: 9.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.7132583445528, + "fos_buckling": 0.5147903375805586, + "fos_yielding": 1.4475147443656604, + "deflection": 0.009198282428188518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002766)" + }, + "parent_node_id": "node_2359", + "improvement_over_parent": null + }, + "node_2361": { + "node_id": "node_2361", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 241.17 kg\n Factor of Safety: 0.59\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.17412807210093, + "fos_buckling": 0.5887223461810398, + "fos_yielding": 1.707693810043888, + "deflection": 0.007817614408600152, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2360", + "improvement_over_parent": null + }, + "node_2362": { + "node_id": "node_2362", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 246.41 kg\n Factor of Safety: 0.59\n Max Deflection: 7.36e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.40964980611125, + "fos_buckling": 0.5885109284708333, + "fos_yielding": 1.7075871223002408, + "deflection": 0.007361596313238515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.222)" + }, + "parent_node_id": "node_2361", + "improvement_over_parent": null + }, + "node_2363": { + "node_id": "node_2363", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0068)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 254.79 kg\n Factor of Safety: 0.59\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.79094677417262, + "fos_buckling": 0.5881727958739141, + "fos_yielding": 1.6954413111640134, + "deflection": 0.007324425122076325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.307)" + }, + "parent_node_id": "node_2362", + "improvement_over_parent": null + }, + "node_2364": { + "node_id": "node_2364", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0050)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0068)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 297.99 kg\n Factor of Safety: 1.40\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": 297.98900471162483, + "fos_buckling": 1.3998015939165473, + "fos_yielding": 1.6691603269626305, + "deflection": 0.004046527227370687, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2363", + "improvement_over_parent": null + }, + "node_2365": { + "node_id": "node_2365", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2364", + "improvement_over_parent": null + }, + "node_2366": { + "node_id": "node_2366", + "content": "INITIAL DESIGN (Trace 340)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 238.27 kg\n Factor of Safety: 1.01\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": 238.26970576176808, + "fos_buckling": 1.008665013320631, + "fos_yielding": 1.9644555418927026, + "deflection": 0.005847073903671523, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2367": { + "node_id": "node_2367", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 271.18 kg\n Factor of Safety: 1.26\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": 271.1822423933851, + "fos_buckling": 1.264190426274351, + "fos_yielding": 1.9786300671055042, + "deflection": 0.004507587471509219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2366", + "improvement_over_parent": null + }, + "node_2368": { + "node_id": "node_2368", + "content": "MODIFICATION: Increase 10 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0074)]\n\nPerformance:\n Mass: 282.09 kg\n Factor of Safety: 1.26\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": 282.09222076399084, + "fos_buckling": 1.2609259859413455, + "fos_yielding": 1.979375916029675, + "deflection": 0.004418465984997838, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.379)" + }, + "parent_node_id": "node_2367", + "improvement_over_parent": null + }, + "node_2369": { + "node_id": "node_2369", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0074)]\n\nPerformance:\n Mass: 292.68 kg\n Factor of Safety: 1.27\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": 292.68362839536167, + "fos_buckling": 1.2651971529996835, + "fos_yielding": 1.9770807323489301, + "deflection": 0.004198098949457867, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.497)" + }, + "parent_node_id": "node_2368", + "improvement_over_parent": null + }, + "node_2370": { + "node_id": "node_2370", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2369", + "improvement_over_parent": null + }, + "node_2371": { + "node_id": "node_2371", + "content": "INITIAL DESIGN (Trace 341)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.90 kg\n Factor of Safety: 1.01\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": 250.89625598606014, + "fos_buckling": 1.008152097442567, + "fos_yielding": 2.269594035616629, + "deflection": 0.005880228622286514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2372": { + "node_id": "node_2372", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 256.11 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.11008601987425, + "fos_buckling": 1.007431413348156, + "fos_yielding": 1.9987385190595701, + "deflection": 0.005005673212415693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2371", + "improvement_over_parent": null + }, + "node_2373": { + "node_id": "node_2373", + "content": "MODIFICATION: Increase 2 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 260.34 kg\n Factor of Safety: 1.01\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": 260.33671426585937, + "fos_buckling": 1.0071395928902838, + "fos_yielding": 1.9986521918969795, + "deflection": 0.005007071774221107, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.214)" + }, + "parent_node_id": "node_2372", + "improvement_over_parent": null + }, + "node_2374": { + "node_id": "node_2374", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2492508974764, + "fos_buckling": 1.5228695920784674, + "fos_yielding": 2.0124454689204447, + "deflection": 0.0040405079607461775, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2373", + "improvement_over_parent": null + }, + "node_2375": { + "node_id": "node_2375", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2374", + "improvement_over_parent": null + }, + "node_2376": { + "node_id": "node_2376", + "content": "INITIAL DESIGN (Trace 342)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n\nPerformance:\n Mass: 144.29 kg\n Factor of Safety: 0.37\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": 144.2871442826991, + "fos_buckling": 0.36877064395671155, + "fos_yielding": 1.0442581366985817, + "deflection": 0.012616377269789977, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2377": { + "node_id": "node_2377", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 179.83 kg\n Factor of Safety: 0.45\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": 179.83111556665958, + "fos_buckling": 0.44519316123752023, + "fos_yielding": 1.2978456729622596, + "deflection": 0.01014324398237069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2376", + "improvement_over_parent": null + }, + "node_2378": { + "node_id": "node_2378", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 184.88 kg\n Factor of Safety: 0.45\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": 184.88452614438413, + "fos_buckling": 0.4450382166143839, + "fos_yielding": 1.2974247314465155, + "deflection": 0.009473448302884449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.266)" + }, + "parent_node_id": "node_2377", + "improvement_over_parent": null + }, + "node_2379": { + "node_id": "node_2379", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 221.58 kg\n Factor of Safety: 1.03\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": 221.57500954505872, + "fos_buckling": 1.0276192188290825, + "fos_yielding": 1.6280306020983222, + "deflection": 0.005540719590343203, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005068)" + }, + "parent_node_id": "node_2378", + "improvement_over_parent": null + }, + "node_2380": { + "node_id": "node_2380", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 230.90 kg\n Factor of Safety: 1.07\n Max Deflection: 5.26e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.90496613694063, + "fos_buckling": 1.067675273941658, + "fos_yielding": 1.626379081708985, + "deflection": 0.005262132395649837, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.383)" + }, + "parent_node_id": "node_2379", + "improvement_over_parent": null + }, + "node_2381": { + "node_id": "node_2381", + "content": "MODIFICATION: Increase 4 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 232.64 kg\n Factor of Safety: 1.28\n Max Deflection: 5.19e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.64253418328832, + "fos_buckling": 1.2794108171189942, + "fos_yielding": 1.6270308168312937, + "deflection": 0.00519152633734568, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.460)" + }, + "parent_node_id": "node_2380", + "improvement_over_parent": null + }, + "node_2382": { + "node_id": "node_2382", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.78 kg\n Factor of Safety: 1.50\n Max Deflection: 4.28e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 282.78060879466443, + "fos_buckling": 1.5038995306412413, + "fos_yielding": 1.975028798400089, + "deflection": 0.0042812670259591195, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_2381", + "improvement_over_parent": null + }, + "node_2383": { + "node_id": "node_2383", + "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.32351111770686, + "fos_buckling": 1.5227919003445025, + "fos_yielding": 2.0134686374049164, + "deflection": 0.004039417741290231, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.471)" + }, + "parent_node_id": "node_2382", + "improvement_over_parent": null + }, + "node_2384": { + "node_id": "node_2384", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2383", + "improvement_over_parent": null + }, + "node_2385": { + "node_id": "node_2385", + "content": "INITIAL DESIGN (Trace 343)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 182.14 kg\n Factor of Safety: 0.88\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": 182.14060065139157, + "fos_buckling": 0.8836548010449549, + "fos_yielding": 1.4315107834774679, + "deflection": 0.0066562916994403155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2386": { + "node_id": "node_2386", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 213.33 kg\n Factor of Safety: 1.02\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": 213.3285268973033, + "fos_buckling": 1.0211739165842542, + "fos_yielding": 1.6733726073740907, + "deflection": 0.005690953331387288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2385", + "improvement_over_parent": null + }, + "node_2387": { + "node_id": "node_2387", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 256.54 kg\n Factor of Safety: 1.21\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": 256.5411605213019, + "fos_buckling": 1.205001838552256, + "fos_yielding": 2.006743177044902, + "deflection": 0.0047411880246680475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2386", + "improvement_over_parent": null + }, + "node_2388": { + "node_id": "node_2388", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 263.07 kg\n Factor of Safety: 1.20\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": 263.07219010265555, + "fos_buckling": 1.2018727230592328, + "fos_yielding": 1.9850064807646326, + "deflection": 0.004658799022382709, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.401)" + }, + "parent_node_id": "node_2387", + "improvement_over_parent": null + }, + "node_2389": { + "node_id": "node_2389", + "content": "MODIFICATION: Increase 7 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 278.57 kg\n Factor of Safety: 1.55\n Max Deflection: 4.35e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 278.5714954375064, + "fos_buckling": 1.5504305767498294, + "fos_yielding": 1.98210943261977, + "deflection": 0.00434909606298969, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.613)" + }, + "parent_node_id": "node_2388", + "improvement_over_parent": null + }, + "node_2390": { + "node_id": "node_2390", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.24e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 284.2618416167453, + "fos_buckling": 1.5224442625766603, + "fos_yielding": 1.9810390508748952, + "deflection": 0.004237625448905041, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.221)" + }, + "parent_node_id": "node_2389", + "improvement_over_parent": null + }, + "node_2391": { + "node_id": "node_2391", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.26404448606263, + "fos_buckling": 1.5231164337465255, + "fos_yielding": 2.012497198242247, + "deflection": 0.004040312541920018, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.379)" + }, + "parent_node_id": "node_2390", + "improvement_over_parent": null + }, + "node_2392": { + "node_id": "node_2392", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2391", + "improvement_over_parent": null + }, + "node_2393": { + "node_id": "node_2393", + "content": "INITIAL DESIGN (Trace 344)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 200.29 kg\n Factor of Safety: 0.52\n Max Deflection: 8.84e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.29187070433346, + "fos_buckling": 0.5155003750432825, + "fos_yielding": 1.6199453746828842, + "deflection": 0.008837748731594049, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2394": { + "node_id": "node_2394", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 212.56 kg\n Factor of Safety: 0.52\n Max Deflection: 8.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.56258131897917, + "fos_buckling": 0.5150654880709241, + "fos_yielding": 1.619218330460743, + "deflection": 0.008443411802820955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.517)" + }, + "parent_node_id": "node_2393", + "improvement_over_parent": null + }, + "node_2395": { + "node_id": "node_2395", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 249.91 kg\n Factor of Safety: 0.59\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.9137150762134, + "fos_buckling": 0.5882452554463821, + "fos_yielding": 1.8999000870865141, + "deflection": 0.007197001106015611, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.193)" + }, + "parent_node_id": "node_2394", + "improvement_over_parent": null + }, + "node_2396": { + "node_id": "node_2396", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.11177301366564, + "fos_buckling": 1.521828881831573, + "fos_yielding": 2.0116823143857627, + "deflection": 0.004042279612478924, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2395", + "improvement_over_parent": null + }, + "node_2397": { + "node_id": "node_2397", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2396", + "improvement_over_parent": null + }, + "node_2398": { + "node_id": "node_2398", + "content": "INITIAL DESIGN (Trace 345)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 152.47 kg\n Factor of Safety: 0.65\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": 152.46788251789536, + "fos_buckling": 0.6516153952092562, + "fos_yielding": 1.1714934983163061, + "deflection": 0.008802905271947008, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2399": { + "node_id": "node_2399", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 177.05 kg\n Factor of Safety: 0.74\n Max Deflection: 7.59e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.05043121927142, + "fos_buckling": 0.7429874417048661, + "fos_yielding": 1.3593945489355674, + "deflection": 0.0075907537323811275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2398", + "improvement_over_parent": null + }, + "node_2400": { + "node_id": "node_2400", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 222.32 kg\n Factor of Safety: 0.90\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": 222.32424414259066, + "fos_buckling": 0.9014918320000729, + "fos_yielding": 1.7047273365291733, + "deflection": 0.006059700183608032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2399", + "improvement_over_parent": null + }, + "node_2401": { + "node_id": "node_2401", + "content": "MODIFICATION: Increase 1 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 233.34 kg\n Factor of Safety: 0.90\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": 233.3436096070642, + "fos_buckling": 0.9008098326027509, + "fos_yielding": 1.7456819288216703, + "deflection": 0.005726149347388694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.608)" + }, + "parent_node_id": "node_2400", + "improvement_over_parent": null + }, + "node_2402": { + "node_id": "node_2402", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 255.94 kg\n Factor of Safety: 1.36\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": 255.94076218702114, + "fos_buckling": 1.3625378744870362, + "fos_yielding": 1.758052762304818, + "deflection": 0.004619252287760234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004319)" + }, + "parent_node_id": "node_2401", + "improvement_over_parent": null + }, + "node_2403": { + "node_id": "node_2403", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21476154884533, + "fos_buckling": 1.5227764181919237, + "fos_yielding": 2.012395969968429, + "deflection": 0.004040767833056396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2402", + "improvement_over_parent": null + }, + "node_2404": { + "node_id": "node_2404", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2403", + "improvement_over_parent": null + }, + "node_2405": { + "node_id": "node_2405", + "content": "INITIAL DESIGN (Trace 346)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 273.86 kg\n Factor of Safety: 1.31\n Max Deflection: 4.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 273.856409076102, + "fos_buckling": 1.3083068151684856, + "fos_yielding": 1.983825565018566, + "deflection": 0.004414603203825083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2406": { + "node_id": "node_2406", + "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.52 kg\n Factor of Safety: 1.32\n Max Deflection: 4.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.5216695214351, + "fos_buckling": 1.3160703468833799, + "fos_yielding": 2.0132828990479146, + "deflection": 0.004230619238134856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.304)" + }, + "parent_node_id": "node_2405", + "improvement_over_parent": null + }, + "node_2407": { + "node_id": "node_2407", + "content": "MODIFICATION: Increase 7 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.61 kg\n Factor of Safety: 1.37\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": 291.609477336972, + "fos_buckling": 1.3715122746290898, + "fos_yielding": 2.011792191011593, + "deflection": 0.004081419445274747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.253)" + }, + "parent_node_id": "node_2406", + "improvement_over_parent": null + }, + "node_2408": { + "node_id": "node_2408", + "content": "MODIFICATION: Increase 4 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20485696527066, + "fos_buckling": 1.5225486849505057, + "fos_yielding": 2.012402710422673, + "deflection": 0.004041007113497964, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.321)" + }, + "parent_node_id": "node_2407", + "improvement_over_parent": null + }, + "node_2409": { + "node_id": "node_2409", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2408", + "improvement_over_parent": null + }, + "node_2410": { + "node_id": "node_2410", + "content": "INITIAL DESIGN (Trace 347)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 198.29 kg\n Factor of Safety: 0.85\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.2899716610072, + "fos_buckling": 0.8502364726256608, + "fos_yielding": 1.7309706874168267, + "deflection": 0.006390263984139022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2411": { + "node_id": "node_2411", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 225.97 kg\n Factor of Safety: 0.95\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": 225.97152680752785, + "fos_buckling": 0.9495369252423229, + "fos_yielding": 1.972171991002137, + "deflection": 0.005617276840604364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2410", + "improvement_over_parent": null + }, + "node_2412": { + "node_id": "node_2412", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.18 kg\n Factor of Safety: 1.07\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": 262.1765995036025, + "fos_buckling": 1.0723650618289156, + "fos_yielding": 2.287478318950683, + "deflection": 0.004852635043444354, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2411", + "improvement_over_parent": null + }, + "node_2413": { + "node_id": "node_2413", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 281.90 kg\n Factor of Safety: 1.44\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": 281.90368684436606, + "fos_buckling": 1.4369597497081308, + "fos_yielding": 2.048082553178685, + "deflection": 0.004156028152941121, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003213)" + }, + "parent_node_id": "node_2412", + "improvement_over_parent": null + }, + "node_2414": { + "node_id": "node_2414", + "content": "MODIFICATION: Increase 9 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0102)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 305.68 kg\n Factor of Safety: 1.54\n Max Deflection: 3.86e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 305.6808104883046, + "fos_buckling": 1.5356811997844597, + "fos_yielding": 2.088450864214382, + "deflection": 0.0038613730977523427, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.626)" + }, + "parent_node_id": "node_2413", + "improvement_over_parent": null + }, + "node_2415": { + "node_id": "node_2415", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2414", + "improvement_over_parent": null + }, + "node_2416": { + "node_id": "node_2416", + "content": "INITIAL DESIGN (Trace 348)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 151.54 kg\n Factor of Safety: 0.48\n Max Deflection: 2.30e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.54001722627967, + "fos_buckling": 0.4780558141451375, + "fos_yielding": 0.5626536856381877, + "deflection": 22977552017114.3, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2417": { + "node_id": "node_2417", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 173.62 kg\n Factor of Safety: 0.52\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.62442696434377, + "fos_buckling": 0.5177207601864584, + "fos_yielding": 1.626217173128401, + "deflection": 0.009750594851182333, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004213)" + }, + "parent_node_id": "node_2416", + "improvement_over_parent": null + }, + "node_2418": { + "node_id": "node_2418", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 200.04 kg\n Factor of Safety: 0.52\n Max Deflection: 8.74e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.04445735267112, + "fos_buckling": 0.5167795613319931, + "fos_yielding": 1.6246450129854295, + "deflection": 0.008744228168133934, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004390)" + }, + "parent_node_id": "node_2417", + "improvement_over_parent": null + }, + "node_2419": { + "node_id": "node_2419", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 234.66 kg\n Factor of Safety: 0.59\n Max Deflection: 7.47e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.6597288226011, + "fos_buckling": 0.5887589968612842, + "fos_yielding": 1.9005728785079674, + "deflection": 0.0074708368011719515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_2418", + "improvement_over_parent": null + }, + "node_2420": { + "node_id": "node_2420", + "content": "MODIFICATION: Increase 9 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n\nPerformance:\n Mass: 244.17 kg\n Factor of Safety: 0.59\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.1685335160737, + "fos_buckling": 0.5883748909658667, + "fos_yielding": 1.8999130734017564, + "deflection": 0.007418214815910117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.350)" + }, + "parent_node_id": "node_2419", + "improvement_over_parent": null + }, + "node_2421": { + "node_id": "node_2421", + "content": "MODIFICATION: Increase 3 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n\nPerformance:\n Mass: 245.71 kg\n Factor of Safety: 0.59\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.7112590516719, + "fos_buckling": 0.5883748909658667, + "fos_yielding": 2.001600443542426, + "deflection": 0.007314346576262585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.247)" + }, + "parent_node_id": "node_2420", + "improvement_over_parent": null + }, + "node_2422": { + "node_id": "node_2422", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0048)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0070)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 288.91 kg\n Factor of Safety: 1.28\n Max Deflection: 4.22e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.90931698912414, + "fos_buckling": 1.2774833546623263, + "fos_yielding": 1.9746049394671907, + "deflection": 0.004215234324087399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2421", + "improvement_over_parent": null + }, + "node_2423": { + "node_id": "node_2423", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2422", + "improvement_over_parent": null + }, + "node_2424": { + "node_id": "node_2424", + "content": "INITIAL DESIGN (Trace 349)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 155.14 kg\n Factor of Safety: 0.65\n Max Deflection: 8.33e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 155.1407240872967, + "fos_buckling": 0.6518632576771219, + "fos_yielding": 1.2042493536290628, + "deflection": 0.008329560022775637, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2425": { + "node_id": "node_2425", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 193.06 kg\n Factor of Safety: 0.79\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.06353759882188, + "fos_buckling": 0.7892138721338968, + "fos_yielding": 1.4970810895203934, + "deflection": 0.006709034639756363, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2424", + "improvement_over_parent": null + }, + "node_2426": { + "node_id": "node_2426", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 224.12 kg\n Factor of Safety: 0.90\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": 224.12122085142326, + "fos_buckling": 0.8953608931588107, + "fos_yielding": 1.7364483751732671, + "deflection": 0.005790356296017511, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2425", + "improvement_over_parent": null + }, + "node_2427": { + "node_id": "node_2427", + "content": "MODIFICATION: Increase 5 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 225.40 kg\n Factor of Safety: 0.90\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": 225.404244832601, + "fos_buckling": 0.8952030728843079, + "fos_yielding": 1.7320598225192039, + "deflection": 0.005770084150605187, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.429)" + }, + "parent_node_id": "node_2426", + "improvement_over_parent": null + }, + "node_2428": { + "node_id": "node_2428", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 253.92 kg\n Factor of Safety: 1.35\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.91848786032827, + "fos_buckling": 1.3535529988362993, + "fos_yielding": 1.7440814039526589, + "deflection": 0.004655684403126268, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004603)" + }, + "parent_node_id": "node_2427", + "improvement_over_parent": null + }, + "node_2429": { + "node_id": "node_2429", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21181709378715, + "fos_buckling": 1.522747780992056, + "fos_yielding": 2.0121941562685186, + "deflection": 0.004040969988570224, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2428", + "improvement_over_parent": null + }, + "node_2430": { + "node_id": "node_2430", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2429", + "improvement_over_parent": null + }, + "node_2431": { + "node_id": "node_2431", + "content": "INITIAL DESIGN (Trace 350)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 172.54 kg\n Factor of Safety: 0.48\n Max Deflection: 1.15e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.5392940559515, + "fos_buckling": 0.4791060841389439, + "fos_yielding": 1.1253073712763755, + "deflection": 11502006884429.168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2432": { + "node_id": "node_2432", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 205.45 kg\n Factor of Safety: 0.52\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 205.4518306875685, + "fos_buckling": 0.5231250164836241, + "fos_yielding": 1.3377205553178908, + "deflection": 0.011033103996168282, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2431", + "improvement_over_parent": null + }, + "node_2433": { + "node_id": "node_2433", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 248.65 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.6498886250207, + "fos_buckling": 0.5215750443824605, + "fos_yielding": 1.5726214050498375, + "deflection": 0.007520389006916277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2432", + "improvement_over_parent": null + }, + "node_2434": { + "node_id": "node_2434", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2318197929666, + "fos_buckling": 1.5229033450823217, + "fos_yielding": 2.0124452183922426, + "deflection": 0.0040406239177422885, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2433", + "improvement_over_parent": null + }, + "node_2435": { + "node_id": "node_2435", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2434", + "improvement_over_parent": null + }, + "node_2436": { + "node_id": "node_2436", + "content": "INITIAL DESIGN (Trace 351)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0015)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 226.12 kg\n Factor of Safety: 0.83\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.11593382915478, + "fos_buckling": 0.8265356084681115, + "fos_yielding": 2.2871339933597423, + "deflection": 0.006421769044843955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2437": { + "node_id": "node_2437", + "content": "MODIFICATION: Increase 2 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 228.93 kg\n Factor of Safety: 0.94\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": 228.9258134760696, + "fos_buckling": 0.9423563205175193, + "fos_yielding": 2.2871339933597423, + "deflection": 0.006305579346284979, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.357)" + }, + "parent_node_id": "node_2436", + "improvement_over_parent": null + }, + "node_2438": { + "node_id": "node_2438", + "content": "MODIFICATION: Increase 2 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 234.51 kg\n Factor of Safety: 0.94\n Max Deflection: 6.16e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 234.50857041818134, + "fos_buckling": 0.9419951273879601, + "fos_yielding": 2.287133993359742, + "deflection": 0.006155276813841518, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.538)" + }, + "parent_node_id": "node_2437", + "improvement_over_parent": null + }, + "node_2439": { + "node_id": "node_2439", + "content": "MODIFICATION: Increase 9 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 241.03 kg\n Factor of Safety: 1.07\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": 241.02514842898714, + "fos_buckling": 1.0743981153118736, + "fos_yielding": 2.2871339933597423, + "deflection": 0.005890423710736644, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.188)" + }, + "parent_node_id": "node_2438", + "improvement_over_parent": null + }, + "node_2440": { + "node_id": "node_2440", + "content": "MODIFICATION: Increase 0 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 246.39 kg\n Factor of Safety: 1.07\n Max Deflection: 5.78e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.39344045230317, + "fos_buckling": 1.0740024547534228, + "fos_yielding": 2.2871339933597423, + "deflection": 0.005778760193418452, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.206)" + }, + "parent_node_id": "node_2439", + "improvement_over_parent": null + }, + "node_2441": { + "node_id": "node_2441", + "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 259.53 kg\n Factor of Safety: 1.07\n Max Deflection: 4.98e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.52916895448817, + "fos_buckling": 1.0730355367244835, + "fos_yielding": 2.287133993359742, + "deflection": 0.004975966015701232, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.656)" + }, + "parent_node_id": "node_2440", + "improvement_over_parent": null + }, + "node_2442": { + "node_id": "node_2442", + "content": "MODIFICATION: Increase 2 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.86 kg\n Factor of Safety: 1.07\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": 268.85564700933367, + "fos_buckling": 1.0723500729961066, + "fos_yielding": 2.2871339933597423, + "deflection": 0.0048518059879727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.618)" + }, + "parent_node_id": "node_2441", + "improvement_over_parent": null + }, + "node_2443": { + "node_id": "node_2443", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.23711897016574, + "fos_buckling": 1.5230156775087793, + "fos_yielding": 2.0125221731397938, + "deflection": 0.004040270070479945, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2442", + "improvement_over_parent": null + }, + "node_2444": { + "node_id": "node_2444", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2443", + "improvement_over_parent": null + }, + "node_2445": { + "node_id": "node_2445", + "content": "INITIAL DESIGN (Trace 352)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 147.39 kg\n Factor of Safety: 0.73\n Max Deflection: 1.76e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.393740927522, + "fos_buckling": 0.7291932268194896, + "fos_yielding": 1.5477029423803417, + "deflection": 176430914198.94205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2446": { + "node_id": "node_2446", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 183.58 kg\n Factor of Safety: 0.88\n Max Deflection: 7.65e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.57638574152293, + "fos_buckling": 0.880928478053915, + "fos_yielding": 1.9114216666560213, + "deflection": 765123690159.5326, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2445", + "improvement_over_parent": null + }, + "node_2447": { + "node_id": "node_2447", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 189.24 kg\n Factor of Safety: 0.88\n Max Deflection: 2.62e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.24456071893013, + "fos_buckling": 0.8809284780539152, + "fos_yielding": 1.9257778705088442, + "deflection": 2616209891591.2603, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.340)" + }, + "parent_node_id": "node_2446", + "improvement_over_parent": null + }, + "node_2448": { + "node_id": "node_2448", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 193.63 kg\n Factor of Safety: 0.88\n Max Deflection: 7.39e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.6344933757733, + "fos_buckling": 0.8755105614567333, + "fos_yielding": 1.9257778705088442, + "deflection": 0.007392359534332284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002741)" + }, + "parent_node_id": "node_2447", + "improvement_over_parent": null + }, + "node_2449": { + "node_id": "node_2449", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 219.71 kg\n Factor of Safety: 0.87\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": 219.71468056494928, + "fos_buckling": 0.8739415248246409, + "fos_yielding": 1.6831317132193468, + "deflection": 0.006304692227555674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004329)" + }, + "parent_node_id": "node_2448", + "improvement_over_parent": null + }, + "node_2450": { + "node_id": "node_2450", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 261.02 kg\n Factor of Safety: 1.01\n Max Deflection: 5.32e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 261.0162509596649, + "fos_buckling": 1.006428746826296, + "fos_yielding": 1.9968336736227186, + "deflection": 0.00531701349019581, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_2449", + "improvement_over_parent": null + }, + "node_2451": { + "node_id": "node_2451", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 267.15 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.1513995097198, + "fos_buckling": 1.0060057752978389, + "fos_yielding": 1.9966727706552865, + "deflection": 0.005011668260006561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.242)" + }, + "parent_node_id": "node_2450", + "improvement_over_parent": null + }, + "node_2452": { + "node_id": "node_2452", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.05 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.04883665210957, + "fos_buckling": 1.522042011487215, + "fos_yielding": 2.0107786340216465, + "deflection": 0.004043154527988512, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2451", + "improvement_over_parent": null + }, + "node_2453": { + "node_id": "node_2453", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2452", + "improvement_over_parent": null + }, + "node_2454": { + "node_id": "node_2454", + "content": "INITIAL DESIGN (Trace 353)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0018)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 141.88 kg\n Factor of Safety: 0.66\n Max Deflection: 8.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.88084137641005, + "fos_buckling": 0.6617167141437589, + "fos_yielding": 1.3003864133934446, + "deflection": 0.008746635418257943, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2455": { + "node_id": "node_2455", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 171.87 kg\n Factor of Safety: 0.78\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.87103980530193, + "fos_buckling": 0.7837017740234066, + "fos_yielding": 1.5742983312837384, + "deflection": 0.007234614210204019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2454", + "improvement_over_parent": null + }, + "node_2456": { + "node_id": "node_2456", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 201.68 kg\n Factor of Safety: 0.90\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": 201.68004993518505, + "fos_buckling": 0.8988603624588347, + "fos_yielding": 1.8461961980135688, + "deflection": 0.0061773658958341, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_2455", + "improvement_over_parent": null + }, + "node_2457": { + "node_id": "node_2457", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.15 kg\n Factor of Safety: 1.07\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.14908266615987, + "fos_buckling": 1.0732557243987535, + "fos_yielding": 2.287494132681832, + "deflection": 0.004996283099876409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2456", + "improvement_over_parent": null + }, + "node_2458": { + "node_id": "node_2458", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 281.13 kg\n Factor of Safety: 1.43\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": 281.12762871523626, + "fos_buckling": 1.4251734156965097, + "fos_yielding": 2.010199457007256, + "deflection": 0.004173156915263626, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2457", + "improvement_over_parent": null + }, + "node_2459": { + "node_id": "node_2459", + "content": "MODIFICATION: Increase 8 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1422284958986, + "fos_buckling": 1.522618328798042, + "fos_yielding": 2.011919204240355, + "deflection": 0.004041784431503901, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.631)" + }, + "parent_node_id": "node_2458", + "improvement_over_parent": null + }, + "node_2460": { + "node_id": "node_2460", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 354)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 223.02 kg\n Factor of Safety: 0.48\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.0194131369732, + "fos_buckling": 0.47862267729961716, + "fos_yielding": 1.4162140086868438, + "deflection": 0.008486333888467854, + "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: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 223.73 kg\n Factor of Safety: 0.48\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": 223.7337982663497, + "fos_buckling": 0.47857569682945056, + "fos_yielding": 1.416170761761507, + "deflection": 0.008345897276692184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.195)" + }, + "parent_node_id": "node_2461", + "improvement_over_parent": null + }, + "node_2463": { + "node_id": "node_2463", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 248.57 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.57304232387753, + "fos_buckling": 0.5214518572849586, + "fos_yielding": 1.5721625241613515, + "deflection": 0.007522446473483559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2462", + "improvement_over_parent": null + }, + "node_2464": { + "node_id": "node_2464", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1549734918234, + "fos_buckling": 1.5228362533542839, + "fos_yielding": 2.0118842253746503, + "deflection": 0.004041596490880975, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2463", + "improvement_over_parent": null + }, + "node_2465": { + "node_id": "node_2465", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2464", + "improvement_over_parent": null + }, + "node_2466": { + "node_id": "node_2466", + "content": "INITIAL DESIGN (Trace 355)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 174.35 kg\n Factor of Safety: 0.69\n Max Deflection: 9.42e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.35157154976352, + "fos_buckling": 0.687923902179638, + "fos_yielding": 1.6108352312996777, + "deflection": 0.009422497814669462, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2467": { + "node_id": "node_2467", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n\nPerformance:\n Mass: 178.02 kg\n Factor of Safety: 0.69\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.0213298518728, + "fos_buckling": 0.6875759926070417, + "fos_yielding": 1.610835231299678, + "deflection": 0.007523243508507171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002262)" + }, + "parent_node_id": "node_2466", + "improvement_over_parent": null + }, + "node_2468": { + "node_id": "node_2468", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 200.49 kg\n Factor of Safety: 0.76\n Max Deflection: 6.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.49425235726795, + "fos_buckling": 0.7641484341892923, + "fos_yielding": 1.8129675279042, + "deflection": 0.006687149570444194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.135)" + }, + "parent_node_id": "node_2467", + "improvement_over_parent": null + }, + "node_2469": { + "node_id": "node_2469", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 253.19 kg\n Factor of Safety: 0.93\n Max Deflection: 5.31e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.19175660111995, + "fos_buckling": 0.9347789427925804, + "fos_yielding": 2.285755150901219, + "deflection": 0.00530842018855777, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2468", + "improvement_over_parent": null + }, + "node_2470": { + "node_id": "node_2470", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n\nPerformance:\n Mass: 254.10 kg\n Factor of Safety: 0.93\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.10218615390335, + "fos_buckling": 0.9346622484710664, + "fos_yielding": 2.2857551509012204, + "deflection": 0.00529897478791463, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.196)" + }, + "parent_node_id": "node_2469", + "improvement_over_parent": null + }, + "node_2471": { + "node_id": "node_2471", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 278.48 kg\n Factor of Safety: 1.38\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.4836581147355, + "fos_buckling": 1.381905753262141, + "fos_yielding": 1.9895313607713834, + "deflection": 0.004317170600099576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2470", + "improvement_over_parent": null + }, + "node_2472": { + "node_id": "node_2472", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 287.20 kg\n Factor of Safety: 1.38\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.20005574055006, + "fos_buckling": 1.3848149887939163, + "fos_yielding": 1.9879490993434483, + "deflection": 0.004134032128204918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.379)" + }, + "parent_node_id": "node_2471", + "improvement_over_parent": null + }, + "node_2473": { + "node_id": "node_2473", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2472", + "improvement_over_parent": null + }, + "node_2474": { + "node_id": "node_2474", + "content": "INITIAL DESIGN (Trace 356)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 163.82 kg\n Factor of Safety: 0.49\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.8211501039204, + "fos_buckling": 0.4911544731607233, + "fos_yielding": 1.5288477370210682, + "deflection": 0.010182402851856995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2475": { + "node_id": "node_2475", + "content": "MODIFICATION: Increase 0 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 168.91 kg\n Factor of Safety: 0.49\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.9085070250891, + "fos_buckling": 0.49098217681760964, + "fos_yielding": 1.5285627436442126, + "deflection": 0.01018549758928721, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.247)" + }, + "parent_node_id": "node_2474", + "improvement_over_parent": null + }, + "node_2476": { + "node_id": "node_2476", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 203.51 kg\n Factor of Safety: 0.75\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.51439239438042, + "fos_buckling": 0.7477111436274595, + "fos_yielding": 1.8339807235726977, + "deflection": 0.0064727268959133485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004846)" + }, + "parent_node_id": "node_2475", + "improvement_over_parent": null + }, + "node_2477": { + "node_id": "node_2477", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 228.33 kg\n Factor of Safety: 1.11\n Max Deflection: 5.22e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.33441454360852, + "fos_buckling": 1.110041071310821, + "fos_yielding": 1.5950255522486323, + "deflection": 0.005215209986430409, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004104)" + }, + "parent_node_id": "node_2476", + "improvement_over_parent": null + }, + "node_2478": { + "node_id": "node_2478", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 285.05 kg\n Factor of Safety: 1.35\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": 285.0510242624356, + "fos_buckling": 1.346013661937529, + "fos_yielding": 1.9880713990537178, + "deflection": 0.004190229230330694, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2477", + "improvement_over_parent": null + }, + "node_2479": { + "node_id": "node_2479", + "content": "MODIFICATION: Increase 10 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0065)]\n\nPerformance:\n Mass: 291.70 kg\n Factor of Safety: 1.38\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": 291.6997834393911, + "fos_buckling": 1.3803641004317848, + "fos_yielding": 1.9739642168541414, + "deflection": 0.0041390010894623306, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.242)" + }, + "parent_node_id": "node_2478", + "improvement_over_parent": null + }, + "node_2480": { + "node_id": "node_2480", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2479", + "improvement_over_parent": null + }, + "node_2481": { + "node_id": "node_2481", + "content": "INITIAL DESIGN (Trace 357)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\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_2482": { + "node_id": "node_2482", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 175.48 kg\n Factor of Safety: 0.31\n Max Deflection: 2.06e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.48284173647704, + "fos_buckling": 0.30801273692562303, + "fos_yielding": 1.0607559161446358, + "deflection": 20611373490353.035, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2481", + "improvement_over_parent": null + }, + "node_2483": { + "node_id": "node_2483", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 218.68 kg\n Factor of Safety: 1.01\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": 218.68089967392928, + "fos_buckling": 1.0100681421127822, + "fos_yielding": 2.288071782940979, + "deflection": 0.006551455616357991, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2482", + "improvement_over_parent": null + }, + "node_2484": { + "node_id": "node_2484", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 251.59 kg\n Factor of Safety: 1.07\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.59343630554628, + "fos_buckling": 1.0733937798373725, + "fos_yielding": 2.288071782940979, + "deflection": 0.005077887604343091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2483", + "improvement_over_parent": null + }, + "node_2485": { + "node_id": "node_2485", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 262.27 kg\n Factor of Safety: 1.07\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": 262.2678253560938, + "fos_buckling": 1.072608633132765, + "fos_yielding": 2.288071782940979, + "deflection": 0.004851021895631717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.502)" + }, + "parent_node_id": "node_2484", + "improvement_over_parent": null + }, + "node_2486": { + "node_id": "node_2486", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2463714051702, + "fos_buckling": 1.522898156071948, + "fos_yielding": 2.012446538878717, + "deflection": 0.004040363544095476, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2485", + "improvement_over_parent": null + }, + "node_2487": { + "node_id": "node_2487", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 358)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 235.33 kg\n Factor of Safety: 0.52\n Max Deflection: 7.71e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.3266372004257, + "fos_buckling": 0.5220521101437343, + "fos_yielding": 1.5730689949478847, + "deflection": 0.007709269792616653, + "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 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 241.00 kg\n Factor of Safety: 0.52\n Max Deflection: 7.58e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.99749435557385, + "fos_buckling": 0.5218489470859405, + "fos_yielding": 1.5728784533771962, + "deflection": 0.007577866812203168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.220)" + }, + "parent_node_id": "node_2488", + "improvement_over_parent": null + }, + "node_2490": { + "node_id": "node_2490", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 285.58 kg\n Factor of Safety: 1.47\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": 285.5794255235197, + "fos_buckling": 1.4679131043443572, + "fos_yielding": 2.011500050957169, + "deflection": 0.004114383039927596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2489", + "improvement_over_parent": null + }, + "node_2491": { + "node_id": "node_2491", + "content": "MODIFICATION: Increase 8 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.221458956961, + "fos_buckling": 1.5229051328324226, + "fos_yielding": 2.0124451246257204, + "deflection": 0.0040407341250841035, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.332)" + }, + "parent_node_id": "node_2490", + "improvement_over_parent": null + }, + "node_2492": { + "node_id": "node_2492", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 359)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2494": { + "node_id": "node_2494", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n\nPerformance:\n Mass: 181.75 kg\n Factor of Safety: 0.83\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.7495139510949, + "fos_buckling": 0.8314089387328006, + "fos_yielding": 1.8116852557164331, + "deflection": 0.007460197227520596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003772)" + }, + "parent_node_id": "node_2493", + "improvement_over_parent": null + }, + "node_2495": { + "node_id": "node_2495", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 206.27 kg\n Factor of Safety: 0.83\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 206.27117573139927, + "fos_buckling": 0.8300067404082078, + "fos_yielding": 1.5837918576814045, + "deflection": 0.006304733412067246, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004051)" + }, + "parent_node_id": "node_2494", + "improvement_over_parent": null + }, + "node_2496": { + "node_id": "node_2496", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 226.77 kg\n Factor of Safety: 1.22\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": 226.77036892150844, + "fos_buckling": 1.2165032173721329, + "fos_yielding": 1.5942603402141498, + "deflection": 0.005166977108734557, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003888)" + }, + "parent_node_id": "node_2495", + "improvement_over_parent": null + }, + "node_2497": { + "node_id": "node_2497", + "content": "MODIFICATION: Increase 8 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 231.59 kg\n Factor of Safety: 1.21\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": 231.59234363317228, + "fos_buckling": 1.214696604328898, + "fos_yielding": 1.5838275753280826, + "deflection": 0.005113664471563183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.274)" + }, + "parent_node_id": "node_2496", + "improvement_over_parent": null + }, + "node_2498": { + "node_id": "node_2498", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0062)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 292.50 kg\n Factor of Safety: 1.47\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": 292.4965809104599, + "fos_buckling": 1.474582133307937, + "fos_yielding": 1.9982193335445089, + "deflection": 0.004062136043456212, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.289)" + }, + "parent_node_id": "node_2497", + "improvement_over_parent": null + }, + "node_2499": { + "node_id": "node_2499", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2498", + "improvement_over_parent": null + }, + "node_2500": { + "node_id": "node_2500", + "content": "INITIAL DESIGN (Trace 360)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\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_2501": { + "node_id": "node_2501", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n\nPerformance:\n Mass: 195.51 kg\n Factor of Safety: 0.48\n Max Deflection: 9.14e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.51298896111163, + "fos_buckling": 0.48239196286771135, + "fos_yielding": 1.4271546854408579, + "deflection": 0.009137399358646799, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004501)" + }, + "parent_node_id": "node_2500", + "improvement_over_parent": null + }, + "node_2502": { + "node_id": "node_2502", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 235.91 kg\n Factor of Safety: 0.93\n Max Deflection: 5.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.9124112620388, + "fos_buckling": 0.9296401239755359, + "fos_yielding": 1.8123527972666327, + "deflection": 0.0055166858473839, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005625)" + }, + "parent_node_id": "node_2501", + "improvement_over_parent": null + }, + "node_2503": { + "node_id": "node_2503", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.38 kg\n Factor of Safety: 1.01\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": 260.38329198742747, + "fos_buckling": 1.0073506494357882, + "fos_yielding": 1.999162497363891, + "deflection": 0.005005810731365787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_2502", + "improvement_over_parent": null + }, + "node_2504": { + "node_id": "node_2504", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29582861904447, + "fos_buckling": 1.5231495045202694, + "fos_yielding": 2.0129545890030225, + "deflection": 0.004039731270871267, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2503", + "improvement_over_parent": null + }, + "node_2505": { + "node_id": "node_2505", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2504", + "improvement_over_parent": null + }, + "node_2506": { + "node_id": "node_2506", + "content": "INITIAL DESIGN (Trace 361)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 171.54 kg\n Factor of Safety: 0.47\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.5400372825331, + "fos_buckling": 0.46908910383439, + "fos_yielding": 1.4504901801631807, + "deflection": 0.010272809851950844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2507": { + "node_id": "node_2507", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 190.45 kg\n Factor of Safety: 0.51\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.4459514934761, + "fos_buckling": 0.5126131796029809, + "fos_yielding": 1.6086460914895238, + "deflection": 0.009263546234499357, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2506", + "improvement_over_parent": null + }, + "node_2508": { + "node_id": "node_2508", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 226.88 kg\n Factor of Safety: 0.93\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": 226.88338907213614, + "fos_buckling": 0.9328734827219376, + "fos_yielding": 1.9311063449857373, + "deflection": 0.005735134885718492, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005123)" + }, + "parent_node_id": "node_2507", + "improvement_over_parent": null + }, + "node_2509": { + "node_id": "node_2509", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n\nPerformance:\n Mass: 247.45 kg\n Factor of Safety: 1.32\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": 247.45021866812442, + "fos_buckling": 1.3248134181732505, + "fos_yielding": 1.7002843817714104, + "deflection": 0.004775447829854289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004040)" + }, + "parent_node_id": "node_2508", + "improvement_over_parent": null + }, + "node_2510": { + "node_id": "node_2510", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.18575420378727, + "fos_buckling": 1.5227787314152224, + "fos_yielding": 2.0124627498333116, + "deflection": 0.00404120559291784, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_2509", + "improvement_over_parent": null + }, + "node_2511": { + "node_id": "node_2511", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2510", + "improvement_over_parent": null + }, + "node_2512": { + "node_id": "node_2512", + "content": "INITIAL DESIGN (Trace 362)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 142.62 kg\n Factor of Safety: 0.59\n Max Deflection: 9.32e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.62117671838922, + "fos_buckling": 0.5870324195339879, + "fos_yielding": 1.069342453702827, + "deflection": 0.009316193968487983, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2513": { + "node_id": "node_2513", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n\nPerformance:\n Mass: 156.44 kg\n Factor of Safety: 0.89\n Max Deflection: 7.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.43720143866315, + "fos_buckling": 0.8876857840510399, + "fos_yielding": 1.076973466732909, + "deflection": 0.007513866676703406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002560)" + }, + "parent_node_id": "node_2512", + "improvement_over_parent": null + }, + "node_2514": { + "node_id": "node_2514", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n\nPerformance:\n Mass: 195.42 kg\n Factor of Safety: 1.08\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": 195.4157964379645, + "fos_buckling": 1.08194388713498, + "fos_yielding": 1.344133178448657, + "deflection": 0.006028800222363018, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.264)" + }, + "parent_node_id": "node_2513", + "improvement_over_parent": null + }, + "node_2515": { + "node_id": "node_2515", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 248.29 kg\n Factor of Safety: 1.33\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": 248.28511388967917, + "fos_buckling": 1.3285080875265178, + "fos_yielding": 1.7057495635257176, + "deflection": 0.004759650779678549, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_2514", + "improvement_over_parent": null + }, + "node_2516": { + "node_id": "node_2516", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.26814057531135, + "fos_buckling": 1.523073643773357, + "fos_yielding": 2.0127469786610246, + "deflection": 0.004040114810412329, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_2515", + "improvement_over_parent": null + }, + "node_2517": { + "node_id": "node_2517", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2516", + "improvement_over_parent": null + }, + "node_2518": { + "node_id": "node_2518", + "content": "INITIAL DESIGN (Trace 363)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 180.32 kg\n Factor of Safety: 0.75\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": 180.32393430854484, + "fos_buckling": 0.7478729213760833, + "fos_yielding": 1.406143731951291, + "deflection": 0.007128119745567099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2519": { + "node_id": "node_2519", + "content": "MODIFICATION: Increase 4 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 181.63 kg\n Factor of Safety: 0.75\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.62761305759312, + "fos_buckling": 0.7478729213760833, + "fos_yielding": 1.406143731951291, + "deflection": 0.007128119745567099, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.381)" + }, + "parent_node_id": "node_2518", + "improvement_over_parent": null + }, + "node_2520": { + "node_id": "node_2520", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 203.81 kg\n Factor of Safety: 0.83\n Max Deflection: 6.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.80765517556097, + "fos_buckling": 0.825691127598076, + "fos_yielding": 1.5769309884772813, + "deflection": 0.006361091644831171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2519", + "improvement_over_parent": null + }, + "node_2521": { + "node_id": "node_2521", + "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 204.73 kg\n Factor of Safety: 0.83\n Max Deflection: 6.34e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.7321369850377, + "fos_buckling": 0.8255861165353376, + "fos_yielding": 1.5739867940162835, + "deflection": 0.006344588072690484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.312)" + }, + "parent_node_id": "node_2520", + "improvement_over_parent": null + }, + "node_2522": { + "node_id": "node_2522", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 230.61 kg\n Factor of Safety: 1.25\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": 230.6110549582495, + "fos_buckling": 1.2482567738417167, + "fos_yielding": 1.5849483725029165, + "deflection": 0.005119091860726202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004146)" + }, + "parent_node_id": "node_2521", + "improvement_over_parent": null + }, + "node_2523": { + "node_id": "node_2523", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.42 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.41906065398285, + "fos_buckling": 1.5237218289397259, + "fos_yielding": 2.0137635263785074, + "deflection": 0.0040380106652846285, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2522", + "improvement_over_parent": null + }, + "node_2524": { + "node_id": "node_2524", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2523", + "improvement_over_parent": null + }, + "node_2525": { + "node_id": "node_2525", + "content": "INITIAL DESIGN (Trace 364)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\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_2526": { + "node_id": "node_2526", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 186.11 kg\n Factor of Safety: 0.47\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.10994133564503, + "fos_buckling": 0.46750445006181857, + "fos_yielding": 1.0336932553050215, + "deflection": 0.009748591395076295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004320)" + }, + "parent_node_id": "node_2525", + "improvement_over_parent": null + }, + "node_2527": { + "node_id": "node_2527", + "content": "MODIFICATION: Increase 6 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0072)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 198.15 kg\n Factor of Safety: 0.47\n Max Deflection: 9.31e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.15433074391842, + "fos_buckling": 0.4671169943486499, + "fos_yielding": 1.0334269818200956, + "deflection": 0.009309456144852787, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.357)" + }, + "parent_node_id": "node_2526", + "improvement_over_parent": null + }, + "node_2528": { + "node_id": "node_2528", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0072)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 226.87 kg\n Factor of Safety: 0.47\n Max Deflection: 8.66e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.8743377629022, + "fos_buckling": 0.46619568744580514, + "fos_yielding": 1.0327926023619478, + "deflection": 0.008655122124346278, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004639)" + }, + "parent_node_id": "node_2527", + "improvement_over_parent": null + }, + "node_2529": { + "node_id": "node_2529", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0072)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 265.78 kg\n Factor of Safety: 1.15\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": 265.7766011889114, + "fos_buckling": 1.1520874809061854, + "fos_yielding": 1.3329196666143357, + "deflection": 0.0045016277175924475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005399)" + }, + "parent_node_id": "node_2528", + "improvement_over_parent": null + }, + "node_2530": { + "node_id": "node_2530", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0084)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 304.23 kg\n Factor of Safety: 1.30\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": 304.22746963626946, + "fos_buckling": 1.3011458845607209, + "fos_yielding": 1.5308968637419347, + "deflection": 0.003940034614475576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.160)" + }, + "parent_node_id": "node_2529", + "improvement_over_parent": null + }, + "node_2531": { + "node_id": "node_2531", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2530", + "improvement_over_parent": null + }, + "node_2532": { + "node_id": "node_2532", + "content": "INITIAL DESIGN (Trace 365)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 223.67 kg\n Factor of Safety: 0.72\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": 223.66522639352732, + "fos_buckling": 0.7166737411426748, + "fos_yielding": 1.8337876742872683, + "deflection": 0.007865762831273963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2533": { + "node_id": "node_2533", + "content": "MODIFICATION: Increase 9 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 232.82 kg\n Factor of Safety: 0.87\n Max Deflection: 7.23e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.8174236394256, + "fos_buckling": 0.8681826435473174, + "fos_yielding": 1.8631167803599016, + "deflection": 0.007231346638968766, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.364)" + }, + "parent_node_id": "node_2532", + "improvement_over_parent": null + }, + "node_2534": { + "node_id": "node_2534", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 258.75 kg\n Factor of Safety: 0.95\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.7504903293689, + "fos_buckling": 0.9488527018077849, + "fos_yielding": 2.069077589889249, + "deflection": 0.006512418599290093, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2533", + "improvement_over_parent": null + }, + "node_2535": { + "node_id": "node_2535", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 259.78 kg\n Factor of Safety: 0.95\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": 259.7843887996883, + "fos_buckling": 0.9524668008290907, + "fos_yielding": 2.072560361575304, + "deflection": 0.006512035689356213, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.211)" + }, + "parent_node_id": "node_2534", + "improvement_over_parent": null + }, + "node_2536": { + "node_id": "node_2536", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 264.49 kg\n Factor of Safety: 1.40\n Max Deflection: 4.47e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.4867103002742, + "fos_buckling": 1.4001852947331572, + "fos_yielding": 1.8163972241217412, + "deflection": 0.004472333976902907, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002953)" + }, + "parent_node_id": "node_2535", + "improvement_over_parent": null + }, + "node_2537": { + "node_id": "node_2537", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.36600765246794, + "fos_buckling": 1.5234754063204232, + "fos_yielding": 2.0134188461662745, + "deflection": 0.0040388262300608095, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2536", + "improvement_over_parent": null + }, + "node_2538": { + "node_id": "node_2538", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2537", + "improvement_over_parent": null + }, + "node_2539": { + "node_id": "node_2539", + "content": "INITIAL DESIGN (Trace 366)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2540": { + "node_id": "node_2540", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 262.24 kg\n Factor of Safety: 1.07\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": 262.2439770070649, + "fos_buckling": 1.0725888700714612, + "fos_yielding": 2.2880718948682164, + "deflection": 0.00485139429279112, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2539", + "improvement_over_parent": null + }, + "node_2541": { + "node_id": "node_2541", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2225230561413, + "fos_buckling": 1.5228696895163494, + "fos_yielding": 2.012447164286147, + "deflection": 0.004040726728707249, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2540", + "improvement_over_parent": null + }, + "node_2542": { + "node_id": "node_2542", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2541", + "improvement_over_parent": null + }, + "node_2543": { + "node_id": "node_2543", + "content": "INITIAL DESIGN (Trace 367)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 235.56 kg\n Factor of Safety: 1.01\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": 235.55662597256773, + "fos_buckling": 1.0087070894840886, + "fos_yielding": 1.96819261795006, + "deflection": 0.005449756585539521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2544": { + "node_id": "node_2544", + "content": "MODIFICATION: Increase 9 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 251.62 kg\n Factor of Safety: 1.01\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.62169651603952, + "fos_buckling": 1.0075959958267544, + "fos_yielding": 2.020794840925339, + "deflection": 0.005082881486345628, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.618)" + }, + "parent_node_id": "node_2543", + "improvement_over_parent": null + }, + "node_2545": { + "node_id": "node_2545", + "content": "MODIFICATION: Increase 3 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 258.18 kg\n Factor of Safety: 1.01\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": 258.18031580662705, + "fos_buckling": 1.0071430914074901, + "fos_yielding": 1.998643279733739, + "deflection": 0.005007427795211567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.404)" + }, + "parent_node_id": "node_2544", + "improvement_over_parent": null + }, + "node_2546": { + "node_id": "node_2546", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.28 kg\n Factor of Safety: 1.01\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": 260.28012842724377, + "fos_buckling": 1.0071430914074901, + "fos_yielding": 1.998643279733739, + "deflection": 0.005007427795211567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.466)" + }, + "parent_node_id": "node_2545", + "improvement_over_parent": null + }, + "node_2547": { + "node_id": "node_2547", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.19266505886077, + "fos_buckling": 1.5224459506354862, + "fos_yielding": 2.0124278657306816, + "deflection": 0.004041166621020216, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2546", + "improvement_over_parent": null + }, + "node_2548": { + "node_id": "node_2548", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2547", + "improvement_over_parent": null + }, + "node_2549": { + "node_id": "node_2549", + "content": "INITIAL DESIGN (Trace 368)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 165.59 kg\n Factor of Safety: 0.39\n Max Deflection: 1.12e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.59404597131908, + "fos_buckling": 0.3879747986852107, + "fos_yielding": 0.9735279659857188, + "deflection": 0.011182942286695634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2550": { + "node_id": "node_2550", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 196.89 kg\n Factor of Safety: 0.89\n Max Deflection: 6.24e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.88668952420602, + "fos_buckling": 0.8884710114521153, + "fos_yielding": 1.3957881191559403, + "deflection": 0.006243115836803747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004274)" + }, + "parent_node_id": "node_2549", + "improvement_over_parent": null + }, + "node_2551": { + "node_id": "node_2551", + "content": "MODIFICATION: Increase 5 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 198.15 kg\n Factor of Safety: 1.11\n Max Deflection: 6.09e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.15010919923193, + "fos_buckling": 1.1111698141277746, + "fos_yielding": 1.3870660106980948, + "deflection": 0.006089717248865533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.560)" + }, + "parent_node_id": "node_2550", + "improvement_over_parent": null + }, + "node_2552": { + "node_id": "node_2552", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 205.86 kg\n Factor of Safety: 1.13\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": 205.85706289684913, + "fos_buckling": 1.131932438296874, + "fos_yielding": 1.4155593225039635, + "deflection": 0.005726390373780189, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.484)" + }, + "parent_node_id": "node_2551", + "improvement_over_parent": null + }, + "node_2553": { + "node_id": "node_2553", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 264.08 kg\n Factor of Safety: 1.40\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": 264.07523645188303, + "fos_buckling": 1.3981037094910145, + "fos_yielding": 1.8135106346903302, + "deflection": 0.004479075745305878, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.307)" + }, + "parent_node_id": "node_2552", + "improvement_over_parent": null + }, + "node_2554": { + "node_id": "node_2554", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1525795246191, + "fos_buckling": 1.5222844734116814, + "fos_yielding": 2.0118787955682045, + "deflection": 0.0040416098955402165, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2553", + "improvement_over_parent": null + }, + "node_2555": { + "node_id": "node_2555", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2554", + "improvement_over_parent": null + }, + "node_2556": { + "node_id": "node_2556", + "content": "INITIAL DESIGN (Trace 369)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 219.99 kg\n Factor of Safety: 0.93\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.9887704053168, + "fos_buckling": 0.9307802731205709, + "fos_yielding": 2.0460432101326806, + "deflection": 0.006571259482740129, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2557": { + "node_id": "node_2557", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 247.69 kg\n Factor of Safety: 0.94\n Max Deflection: 6.57e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.68878262219894, + "fos_buckling": 0.9436058631725459, + "fos_yielding": 2.0532169376093896, + "deflection": 0.0065698594146878005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004621)" + }, + "parent_node_id": "node_2556", + "improvement_over_parent": null + }, + "node_2558": { + "node_id": "node_2558", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 277.08 kg\n Factor of Safety: 1.03\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": 277.07672782024036, + "fos_buckling": 1.034398850138908, + "fos_yielding": 2.294181013323575, + "deflection": 0.0058807602177453205, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_2557", + "improvement_over_parent": null + }, + "node_2559": { + "node_id": "node_2559", + "content": "MODIFICATION: Increase 7 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 287.94 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.94376797383444, + "fos_buckling": 1.0364590827610642, + "fos_yielding": 2.295423304532786, + "deflection": 0.005880579425146022, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.541)" + }, + "parent_node_id": "node_2558", + "improvement_over_parent": null + }, + "node_2560": { + "node_id": "node_2560", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1575980076485, + "fos_buckling": 1.522659784707376, + "fos_yielding": 2.0120047638725693, + "deflection": 0.0040415725409758, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2559", + "improvement_over_parent": null + }, + "node_2561": { + "node_id": "node_2561", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2560", + "improvement_over_parent": null + }, + "node_2562": { + "node_id": "node_2562", + "content": "INITIAL DESIGN (Trace 370)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 140.07 kg\n Factor of Safety: 0.67\n Max Deflection: 2.03e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.06935808850406, + "fos_buckling": 0.6698173011433018, + "fos_yielding": 1.0264287580395615, + "deflection": 203151197638.3656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2563": { + "node_id": "node_2563", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 165.05 kg\n Factor of Safety: 0.77\n Max Deflection: 3.26e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.05355423343713, + "fos_buckling": 0.7739833724589724, + "fos_yielding": 1.2117338629289196, + "deflection": 325752651257.55927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_2562", + "improvement_over_parent": null + }, + "node_2564": { + "node_id": "node_2564", + "content": "MODIFICATION: Increase 4 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 166.97 kg\n Factor of Safety: 0.77\n Max Deflection: 3.26e+11 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.96893470638747, + "fos_buckling": 0.7739833724589724, + "fos_yielding": 1.6494334768694363, + "deflection": 325752651257.559, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.385)" + }, + "parent_node_id": "node_2563", + "improvement_over_parent": null + }, + "node_2565": { + "node_id": "node_2565", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 193.89 kg\n Factor of Safety: 0.88\n Max Deflection: 4.11e+11 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.8933490445824, + "fos_buckling": 0.8799661326281982, + "fos_yielding": 1.9134557699695716, + "deflection": 410761944273.2962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_2564", + "improvement_over_parent": null + }, + "node_2566": { + "node_id": "node_2566", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 221.56 kg\n Factor of Safety: 0.89\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": 221.55886135436086, + "fos_buckling": 0.8868286745445904, + "fos_yielding": 1.9234515173807287, + "deflection": 0.006977005051787166, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004455)" + }, + "parent_node_id": "node_2565", + "improvement_over_parent": null + }, + "node_2567": { + "node_id": "node_2567", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 263.52 kg\n Factor of Safety: 1.03\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.52021751270263, + "fos_buckling": 1.0255804089935212, + "fos_yielding": 2.2867992576090224, + "deflection": 0.005873240053859019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2566", + "improvement_over_parent": null + }, + "node_2568": { + "node_id": "node_2568", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 268.73 kg\n Factor of Safety: 1.07\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": 268.7340475465167, + "fos_buckling": 1.071704903556655, + "fos_yielding": 2.2867992576090224, + "deflection": 0.004854946676555747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2567", + "improvement_over_parent": null + }, + "node_2569": { + "node_id": "node_2569", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.12 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.11551950734884, + "fos_buckling": 1.5224583319488263, + "fos_yielding": 2.0120960178621394, + "deflection": 0.004042242052144468, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2568", + "improvement_over_parent": null + }, + "node_2570": { + "node_id": "node_2570", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2569", + "improvement_over_parent": null + }, + "node_2571": { + "node_id": "node_2571", + "content": "INITIAL DESIGN (Trace 371)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0023)]\n\nPerformance:\n Mass: 135.39 kg\n Factor of Safety: 0.48\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": 135.3929697323929, + "fos_buckling": 0.4768061927060921, + "fos_yielding": 1.3199999605644175, + "deflection": 0.011896374061568635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2572": { + "node_id": "node_2572", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 150.82 kg\n Factor of Safety: 0.53\n Max Deflection: 1.07e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.81832095696723, + "fos_buckling": 0.5279816812182158, + "fos_yielding": 1.4687818223848692, + "deflection": 0.010679538523646665, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2571", + "improvement_over_parent": null + }, + "node_2573": { + "node_id": "node_2573", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 189.05 kg\n Factor of Safety: 0.65\n Max Deflection: 8.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 189.048161006206, + "fos_buckling": 0.6519985449251796, + "fos_yielding": 1.8360426204643483, + "deflection": 0.00851933127228051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2572", + "improvement_over_parent": null + }, + "node_2574": { + "node_id": "node_2574", + "content": "MODIFICATION: Increase 6 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 194.63 kg\n Factor of Safety: 0.65\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": 194.63126782266036, + "fos_buckling": 0.6517450882205655, + "fos_yielding": 1.8360426204643483, + "deflection": 0.008142578767511264, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.205)" + }, + "parent_node_id": "node_2573", + "improvement_over_parent": null + }, + "node_2575": { + "node_id": "node_2575", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 221.19 kg\n Factor of Safety: 0.67\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": 221.1947724874807, + "fos_buckling": 0.665936005904873, + "fos_yielding": 1.8173750307732761, + "deflection": 0.008126356393996054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004264)" + }, + "parent_node_id": "node_2574", + "improvement_over_parent": null + }, + "node_2576": { + "node_id": "node_2576", + "content": "MODIFICATION: Increase 9 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0064)]\n\nPerformance:\n Mass: 232.91 kg\n Factor of Safety: 0.67\n Max Deflection: 8.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 232.90863652951208, + "fos_buckling": 0.6665155538461951, + "fos_yielding": 1.8160462968012105, + "deflection": 0.0081257085644348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.493)" + }, + "parent_node_id": "node_2575", + "improvement_over_parent": null + }, + "node_2577": { + "node_id": "node_2577", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0080)]\n\nPerformance:\n Mass: 288.40 kg\n Factor of Safety: 0.81\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.40285973068256, + "fos_buckling": 0.8102969932790176, + "fos_yielding": 2.2483679027297567, + "deflection": 0.006552857136814551, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2576", + "improvement_over_parent": null + }, + "node_2578": { + "node_id": "node_2578", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0080)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.62 kg\n Factor of Safety: 1.21\n Max Deflection: 4.24e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 293.61668976449664, + "fos_buckling": 1.2086546044024198, + "fos_yielding": 1.968923263949226, + "deflection": 0.004243387725859032, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2577", + "improvement_over_parent": null + }, + "node_2579": { + "node_id": "node_2579", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2578", + "improvement_over_parent": null + }, + "node_2580": { + "node_id": "node_2580", + "content": "INITIAL DESIGN (Trace 372)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0020)]\n\nPerformance:\n Mass: 125.66 kg\n Factor of Safety: 0.35\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": 125.65656589769515, + "fos_buckling": 0.3463395137073596, + "fos_yielding": 1.0311480538888125, + "deflection": 0.01403395071892323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2581": { + "node_id": "node_2581", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0023)]\n\nPerformance:\n Mass: 143.22 kg\n Factor of Safety: 0.39\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": 143.2208142047191, + "fos_buckling": 0.3892399461757821, + "fos_yielding": 1.1737640927319675, + "deflection": 0.012324897525807545, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_2580", + "improvement_over_parent": null + }, + "node_2582": { + "node_id": "node_2582", + "content": "MODIFICATION: Increase 9 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 153.56 kg\n Factor of Safety: 0.39\n Max Deflection: 1.16e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.55831354784732, + "fos_buckling": 0.38896223560594984, + "fos_yielding": 1.17331887109538, + "deflection": 0.011648589233951715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.639)" + }, + "parent_node_id": "node_2581", + "improvement_over_parent": null + }, + "node_2583": { + "node_id": "node_2583", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 195.81 kg\n Factor of Safety: 0.48\n Max Deflection: 9.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.81266698002403, + "fos_buckling": 0.48052550540481326, + "fos_yielding": 1.4927551120508038, + "deflection": 0.009157327612502859, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_2582", + "improvement_over_parent": null + }, + "node_2584": { + "node_id": "node_2584", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n\nPerformance:\n Mass: 223.59 kg\n Factor of Safety: 1.10\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": 223.5855507942553, + "fos_buckling": 1.0969364349259985, + "fos_yielding": 1.5793688337942438, + "deflection": 0.0053159346688234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003833)" + }, + "parent_node_id": "node_2583", + "improvement_over_parent": null + }, + "node_2585": { + "node_id": "node_2585", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 285.65 kg\n Factor of Safety: 1.36\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": 285.6546244119208, + "fos_buckling": 1.356971019091018, + "fos_yielding": 2.013868994781657, + "deflection": 0.004174894375805083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2584", + "improvement_over_parent": null + }, + "node_2586": { + "node_id": "node_2586", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0066)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 292.46 kg\n Factor of Safety: 1.40\n Max Deflection: 4.12e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.46320129113207, + "fos_buckling": 1.3953517105482123, + "fos_yielding": 2.014457740536069, + "deflection": 0.004120153734617479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.233)" + }, + "parent_node_id": "node_2585", + "improvement_over_parent": null + }, + "node_2587": { + "node_id": "node_2587", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2586", + "improvement_over_parent": null + }, + "node_2588": { + "node_id": "node_2588", + "content": "INITIAL DESIGN (Trace 373)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n\nPerformance:\n Mass: 172.28 kg\n Factor of Safety: 0.40\n Max Deflection: 1.04e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.28134254868408, + "fos_buckling": 0.3963741827506843, + "fos_yielding": 1.1345926703892488, + "deflection": 0.010403556915911829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2589": { + "node_id": "node_2589", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 199.83 kg\n Factor of Safety: 0.45\n Max Deflection: 8.99e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.82721556385576, + "fos_buckling": 0.4497265066099914, + "fos_yielding": 1.3144001202844184, + "deflection": 0.008986474966765355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.172)" + }, + "parent_node_id": "node_2588", + "improvement_over_parent": null + }, + "node_2590": { + "node_id": "node_2590", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 239.61 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.61447809489636, + "fos_buckling": 0.5220005276470076, + "fos_yielding": 1.5732988341623995, + "deflection": 0.007515033010885106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_2589", + "improvement_over_parent": null + }, + "node_2591": { + "node_id": "node_2591", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.24e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 284.1964092628422, + "fos_buckling": 1.521993937941881, + "fos_yielding": 1.9810664017760633, + "deflection": 0.004239555133205148, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2590", + "improvement_over_parent": null + }, + "node_2592": { + "node_id": "node_2592", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.26714655310076, + "fos_buckling": 1.5231176303394993, + "fos_yielding": 2.01284178842071, + "deflection": 0.0040402260344766785, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.383)" + }, + "parent_node_id": "node_2591", + "improvement_over_parent": null + }, + "node_2593": { + "node_id": "node_2593", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2592", + "improvement_over_parent": null + }, + "node_2594": { + "node_id": "node_2594", + "content": "INITIAL DESIGN (Trace 374)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 166.39 kg\n Factor of Safety: 0.66\n Max Deflection: 8.96e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.3941924712746, + "fos_buckling": 0.6606399374326197, + "fos_yielding": 1.7588208743940306, + "deflection": 0.008959425309851849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2595": { + "node_id": "node_2595", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 175.31 kg\n Factor of Safety: 0.81\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": 175.31076942677058, + "fos_buckling": 0.8106978928527221, + "fos_yielding": 1.7588208743940306, + "deflection": 0.008250464130324257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.377)" + }, + "parent_node_id": "node_2594", + "improvement_over_parent": null + }, + "node_2596": { + "node_id": "node_2596", + "content": "MODIFICATION: Increase 0 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 181.56 kg\n Factor of Safety: 0.81\n Max Deflection: 7.69e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.5625982926331, + "fos_buckling": 0.8103487191911374, + "fos_yielding": 1.7588208743940306, + "deflection": 0.007686748217776154, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.337)" + }, + "parent_node_id": "node_2595", + "improvement_over_parent": null + }, + "node_2597": { + "node_id": "node_2597", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n\nPerformance:\n Mass: 201.46 kg\n Factor of Safety: 0.86\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.46161472338164, + "fos_buckling": 0.8614024013069075, + "fos_yielding": 1.7588208743940306, + "deflection": 0.006291628407831036, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003766)" + }, + "parent_node_id": "node_2596", + "improvement_over_parent": null + }, + "node_2598": { + "node_id": "node_2598", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 262.40 kg\n Factor of Safety: 1.07\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": 262.3970588230279, + "fos_buckling": 1.0725735013703719, + "fos_yielding": 2.289662383587707, + "deflection": 0.004849154728350762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_2597", + "improvement_over_parent": null + }, + "node_2599": { + "node_id": "node_2599", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.38 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3756048721043, + "fos_buckling": 1.5229406406445296, + "fos_yielding": 2.0138096169128987, + "deflection": 0.004038601101215752, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2598", + "improvement_over_parent": null + }, + "node_2600": { + "node_id": "node_2600", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2599", + "improvement_over_parent": null + }, + "node_2601": { + "node_id": "node_2601", + "content": "INITIAL DESIGN (Trace 375)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 146.24 kg\n Factor of Safety: 0.67\n Max Deflection: 8.55e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 146.23840749940655, + "fos_buckling": 0.6692956542701353, + "fos_yielding": 1.3172745425717831, + "deflection": 0.008550703879773053, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2602": { + "node_id": "node_2602", + "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 150.83 kg\n Factor of Safety: 0.67\n Max Deflection: 8.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.82712927907272, + "fos_buckling": 0.6690836535514493, + "fos_yielding": 1.3172745425717831, + "deflection": 0.008375585711881996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.468)" + }, + "parent_node_id": "node_2601", + "improvement_over_parent": null + }, + "node_2603": { + "node_id": "node_2603", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 176.85 kg\n Factor of Safety: 0.77\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": 176.8520745208929, + "fos_buckling": 0.7701689908164554, + "fos_yielding": 1.5442390057018753, + "deflection": 0.007154863960385982, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2602", + "improvement_over_parent": null + }, + "node_2604": { + "node_id": "node_2604", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 207.50 kg\n Factor of Safety: 0.88\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": 207.49852540823676, + "fos_buckling": 0.8838587625428656, + "fos_yielding": 1.811383821940385, + "deflection": 0.006109971875846392, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_2603", + "improvement_over_parent": null + }, + "node_2605": { + "node_id": "node_2605", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 230.47 kg\n Factor of Safety: 0.97\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.4718259952538, + "fos_buckling": 0.9653112130079408, + "fos_yielding": 2.0115539722871065, + "deflection": 0.005508927004716286, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_2604", + "improvement_over_parent": null + }, + "node_2606": { + "node_id": "node_2606", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 257.70 kg\n Factor of Safety: 1.37\n Max Deflection: 4.59e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 257.70213073474497, + "fos_buckling": 1.3704876250130398, + "fos_yielding": 1.7701869731950837, + "deflection": 0.004588120368013935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004536)" + }, + "parent_node_id": "node_2605", + "improvement_over_parent": null + }, + "node_2607": { + "node_id": "node_2607", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.12 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.12078514294706, + "fos_buckling": 1.5225594410206804, + "fos_yielding": 2.0118734442431374, + "deflection": 0.0040420164144526595, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.151)" + }, + "parent_node_id": "node_2606", + "improvement_over_parent": null + }, + "node_2608": { + "node_id": "node_2608", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2607", + "improvement_over_parent": null + }, + "node_2609": { + "node_id": "node_2609", + "content": "INITIAL DESIGN (Trace 376)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 223.81 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": 223.81283503177832, + "fos_buckling": 0.9412449497650721, + "fos_yielding": 1.5117321949949136, + "deflection": 0.005487582950450416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2610": { + "node_id": "node_2610", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.95 kg\n Factor of Safety: 1.11\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": 268.9545171826915, + "fos_buckling": 1.11379139894007, + "fos_yielding": 1.8233036487019196, + "deflection": 0.00457477888128844, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.220)" + }, + "parent_node_id": "node_2609", + "improvement_over_parent": null + }, + "node_2611": { + "node_id": "node_2611", + "content": "MODIFICATION: Increase 0 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.21 kg\n Factor of Safety: 1.16\n Max Deflection: 4.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.21326912408625, + "fos_buckling": 1.1637720353987573, + "fos_yielding": 1.905123167964047, + "deflection": 0.0043005474597484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.618)" + }, + "parent_node_id": "node_2610", + "improvement_over_parent": null + }, + "node_2612": { + "node_id": "node_2612", + "content": "MODIFICATION: Increase 7 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 290.99 kg\n Factor of Safety: 1.20\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": 290.9900424269455, + "fos_buckling": 1.2015152102741804, + "fos_yielding": 1.9669096645463, + "deflection": 0.0041093885815784775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.321)" + }, + "parent_node_id": "node_2611", + "improvement_over_parent": null + }, + "node_2613": { + "node_id": "node_2613", + "content": "MODIFICATION: Increase 4 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.40358676971437, + "fos_buckling": 1.523636752348673, + "fos_yielding": 2.013681928442895, + "deflection": 0.004038263558097106, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.570)" + }, + "parent_node_id": "node_2612", + "improvement_over_parent": null + }, + "node_2614": { + "node_id": "node_2614", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2613", + "improvement_over_parent": null + }, + "node_2615": { + "node_id": "node_2615", + "content": "INITIAL DESIGN (Trace 377)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 144.80 kg\n Factor of Safety: 0.65\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": 144.80262807000585, + "fos_buckling": 0.6450325359523738, + "fos_yielding": 1.264604224099578, + "deflection": 0.008721091256756918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2616": { + "node_id": "node_2616", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 167.55 kg\n Factor of Safety: 0.73\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": 167.54601995688392, + "fos_buckling": 0.7344428735134197, + "fos_yielding": 1.4629579076113448, + "deflection": 0.007548137390128897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2615", + "improvement_over_parent": null + }, + "node_2617": { + "node_id": "node_2617", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 187.33 kg\n Factor of Safety: 1.04\n Max Deflection: 6.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.331176816288, + "fos_buckling": 1.0425072537256699, + "fos_yielding": 1.2888240729206222, + "deflection": 0.006285920354256486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003223)" + }, + "parent_node_id": "node_2616", + "improvement_over_parent": null + }, + "node_2618": { + "node_id": "node_2618", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 239.40 kg\n Factor of Safety: 1.29\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": 239.3967467044323, + "fos_buckling": 1.2883874420214907, + "fos_yielding": 1.6450957383282319, + "deflection": 0.004933741747427126, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_2617", + "improvement_over_parent": null + }, + "node_2619": { + "node_id": "node_2619", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.46 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.46060465970726, + "fos_buckling": 1.523846120531302, + "fos_yielding": 2.014155939064961, + "deflection": 0.004037447385066191, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.248)" + }, + "parent_node_id": "node_2618", + "improvement_over_parent": null + }, + "node_2620": { + "node_id": "node_2620", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 378)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 247.28 kg\n Factor of Safety: 1.32\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.28048175676707, + "fos_buckling": 1.32199496547845, + "fos_yielding": 1.7842225594614514, + "deflection": 0.004778229885739164, + "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: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.29 kg\n Factor of Safety: 1.47\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": 282.286874044031, + "fos_buckling": 1.4732377375631605, + "fos_yielding": 2.034157452660698, + "deflection": 0.004193975288391346, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2621", + "improvement_over_parent": null + }, + "node_2623": { + "node_id": "node_2623", + "content": "MODIFICATION: Increase 0 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 287.14 kg\n Factor of Safety: 1.47\n Max Deflection: 4.10e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 287.1397061968735, + "fos_buckling": 1.4747891980738879, + "fos_yielding": 2.0332573030778223, + "deflection": 0.004102202574132139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.183)" + }, + "parent_node_id": "node_2622", + "improvement_over_parent": null + }, + "node_2624": { + "node_id": "node_2624", + "content": "MODIFICATION: Increase 3 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3698345085963, + "fos_buckling": 1.5235935131953353, + "fos_yielding": 2.013321031445232, + "deflection": 0.0040389078809947325, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.376)" + }, + "parent_node_id": "node_2623", + "improvement_over_parent": null + }, + "node_2625": { + "node_id": "node_2625", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 379)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 210.11 kg\n Factor of Safety: 1.18\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": 210.10572811557233, + "fos_buckling": 1.1838296053032893, + "fos_yielding": 1.4674275256530427, + "deflection": 0.005713014732734202, + "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 all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 253.20 kg\n Factor of Safety: 1.39\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": 253.19816076967447, + "fos_buckling": 1.38540032301495, + "fos_yielding": 1.766368942569574, + "deflection": 0.00475097744348797, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2626", + "improvement_over_parent": null + }, + "node_2628": { + "node_id": "node_2628", + "content": "MODIFICATION: Increase 1 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 261.36 kg\n Factor of Safety: 1.39\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": 261.35910374154065, + "fos_buckling": 1.3864188571003293, + "fos_yielding": 1.795006848050218, + "deflection": 0.004524975350693256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.383)" + }, + "parent_node_id": "node_2627", + "improvement_over_parent": null + }, + "node_2629": { + "node_id": "node_2629", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.23115534814, + "fos_buckling": 1.522838555588608, + "fos_yielding": 2.0124577899872653, + "deflection": 0.004040602216545454, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_2628", + "improvement_over_parent": null + }, + "node_2630": { + "node_id": "node_2630", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2629", + "improvement_over_parent": null + }, + "node_2631": { + "node_id": "node_2631", + "content": "INITIAL DESIGN (Trace 380)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 234.62 kg\n Factor of Safety: 0.93\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": 234.61840936270505, + "fos_buckling": 0.9277599803571643, + "fos_yielding": 1.7848030395956218, + "deflection": 0.005702699292480728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2632": { + "node_id": "node_2632", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 241.68 kg\n Factor of Safety: 0.93\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.6808681710433, + "fos_buckling": 0.9273103872907037, + "fos_yielding": 1.8076185563644633, + "deflection": 0.005531496307082915, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.311)" + }, + "parent_node_id": "node_2631", + "improvement_over_parent": null + }, + "node_2633": { + "node_id": "node_2633", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n\nPerformance:\n Mass: 265.09 kg\n Factor of Safety: 1.40\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": 265.0911514037976, + "fos_buckling": 1.4025437567407797, + "fos_yielding": 1.820422522094382, + "deflection": 0.00446214889014854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004488)" + }, + "parent_node_id": "node_2632", + "improvement_over_parent": null + }, + "node_2634": { + "node_id": "node_2634", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.31 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.31280968470134, + "fos_buckling": 1.522954982093099, + "fos_yielding": 2.012945907141667, + "deflection": 0.004039417438038542, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2633", + "improvement_over_parent": null + }, + "node_2635": { + "node_id": "node_2635", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2634", + "improvement_over_parent": null + }, + "node_2636": { + "node_id": "node_2636", + "content": "INITIAL DESIGN (Trace 381)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 144.30 kg\n Factor of Safety: 0.81\n Max Deflection: 2.19e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.3026451783418, + "fos_buckling": 0.812445316272223, + "fos_yielding": 0.9467875272427922, + "deflection": 21936195844719.316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2637": { + "node_id": "node_2637", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 160.80 kg\n Factor of Safety: 0.03\n Max Deflection: 2.09e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.80132460128246, + "fos_buckling": 0.0311423004433461, + "fos_yielding": 0.07033171070477347, + "deflection": 209333742676598.88, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.122)" + }, + "parent_node_id": "node_2636", + "improvement_over_parent": null + }, + "node_2638": { + "node_id": "node_2638", + "content": "MODIFICATION: Increase 2 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 166.11 kg\n Factor of Safety: 0.50\n Max Deflection: 1.12e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.10655884290867, + "fos_buckling": 0.4982768070935376, + "fos_yielding": 1.1253073712763755, + "deflection": 11159446068031.984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.383)" + }, + "parent_node_id": "node_2637", + "improvement_over_parent": null + }, + "node_2639": { + "node_id": "node_2639", + "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 174.49 kg\n Factor of Safety: 1.00\n Max Deflection: 5.63e+12 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.48932938021431, + "fos_buckling": 0.9965536141870752, + "fos_yielding": 1.5564679033758362, + "deflection": 5632855745588.897, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.475)" + }, + "parent_node_id": "node_2638", + "improvement_over_parent": null + }, + "node_2640": { + "node_id": "node_2640", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 224.09 kg\n Factor of Safety: 0.76\n Max Deflection: 2.11e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.08995802231902, + "fos_buckling": 0.7594780565879461, + "fos_yielding": 0.5626536856381877, + "deflection": 21092318900416.23, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2639", + "improvement_over_parent": null + }, + "node_2641": { + "node_id": "node_2641", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.67 kg\n Factor of Safety: 1.07\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": 268.6718891902649, + "fos_buckling": 1.0721375237899418, + "fos_yielding": 2.2855170315127338, + "deflection": 0.004855303137893052, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2640", + "improvement_over_parent": null + }, + "node_2642": { + "node_id": "node_2642", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.05 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.05336115109696, + "fos_buckling": 1.5228392051765152, + "fos_yielding": 2.011055248521008, + "deflection": 0.004043016351283135, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2641", + "improvement_over_parent": null + }, + "node_2643": { + "node_id": "node_2643", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2642", + "improvement_over_parent": null + }, + "node_2644": { + "node_id": "node_2644", + "content": "INITIAL DESIGN (Trace 382)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 185.59 kg\n Factor of Safety: 0.76\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": 185.59266366639133, + "fos_buckling": 0.7589225446167163, + "fos_yielding": 1.4275239072054098, + "deflection": 0.006990494377010155, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2645": { + "node_id": "node_2645", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 215.05 kg\n Factor of Safety: 0.86\n Max Deflection: 6.04e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.0490792775083, + "fos_buckling": 0.8606476080884569, + "fos_yielding": 1.6529147597108937, + "deflection": 0.00604402379209209, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2644", + "improvement_over_parent": null + }, + "node_2646": { + "node_id": "node_2646", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 242.23 kg\n Factor of Safety: 1.30\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.2250997462077, + "fos_buckling": 1.301276614273517, + "fos_yielding": 1.6644076982147913, + "deflection": 0.00487693285618889, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004370)" + }, + "parent_node_id": "node_2645", + "improvement_over_parent": null + }, + "node_2647": { + "node_id": "node_2647", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.40 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3951430619222, + "fos_buckling": 1.5236546075524415, + "fos_yielding": 2.0136882679308292, + "deflection": 0.004038331966198268, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2646", + "improvement_over_parent": null + }, + "node_2648": { + "node_id": "node_2648", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2647", + "improvement_over_parent": null + }, + "node_2649": { + "node_id": "node_2649", + "content": "INITIAL DESIGN (Trace 383)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 186.50 kg\n Factor of Safety: 0.43\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": 186.496244227649, + "fos_buckling": 0.4311513619710506, + "fos_yielding": 1.2505403993563011, + "deflection": 0.009442023919728256, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2650": { + "node_id": "node_2650", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 208.74 kg\n Factor of Safety: 0.47\n Max Deflection: 8.45e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.74367329675204, + "fos_buckling": 0.47381117507576587, + "fos_yielding": 1.398231853075624, + "deflection": 0.008449295110115194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_2649", + "improvement_over_parent": null + }, + "node_2651": { + "node_id": "node_2651", + "content": "MODIFICATION: Increase 1 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 214.32 kg\n Factor of Safety: 0.47\n Max Deflection: 8.45e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.32054431606113, + "fos_buckling": 0.47362952547654913, + "fos_yielding": 1.398065153667747, + "deflection": 0.008451812974671884, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.311)" + }, + "parent_node_id": "node_2650", + "improvement_over_parent": null + }, + "node_2652": { + "node_id": "node_2652", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 247.95 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": 247.95416498334856, + "fos_buckling": 1.301582225388345, + "fos_yielding": 1.7515776568009769, + "deflection": 0.0048360006318851805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004616)" + }, + "parent_node_id": "node_2651", + "improvement_over_parent": null + }, + "node_2653": { + "node_id": "node_2653", + "content": "MODIFICATION: Increase 10 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 253.91 kg\n Factor of Safety: 1.38\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": 253.90825190859363, + "fos_buckling": 1.382267192434174, + "fos_yielding": 1.7668528704554554, + "deflection": 0.004713112235148257, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.192)" + }, + "parent_node_id": "node_2652", + "improvement_over_parent": null + }, + "node_2654": { + "node_id": "node_2654", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 286.10 kg\n Factor of Safety: 1.52\n Max Deflection: 4.19e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 286.09928736913486, + "fos_buckling": 1.5233232314137224, + "fos_yielding": 1.9891586469003057, + "deflection": 0.004189848456363415, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.139)" + }, + "parent_node_id": "node_2653", + "improvement_over_parent": null + }, + "node_2655": { + "node_id": "node_2655", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.37474315329666, + "fos_buckling": 1.523120668944279, + "fos_yielding": 2.013378562365361, + "deflection": 0.00403859728664396, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.287)" + }, + "parent_node_id": "node_2654", + "improvement_over_parent": null + }, + "node_2656": { + "node_id": "node_2656", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2655", + "improvement_over_parent": null + }, + "node_2657": { + "node_id": "node_2657", + "content": "INITIAL DESIGN (Trace 384)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 219.16 kg\n Factor of Safety: 0.90\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": 219.1636571845625, + "fos_buckling": 0.8966368365152843, + "fos_yielding": 1.716147967803191, + "deflection": 0.005910506405787298, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2658": { + "node_id": "node_2658", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 225.72 kg\n Factor of Safety: 0.90\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": 225.72107209910902, + "fos_buckling": 0.8962329678564739, + "fos_yielding": 1.7344599911791252, + "deflection": 0.005762117681851555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.221)" + }, + "parent_node_id": "node_2657", + "improvement_over_parent": null + }, + "node_2659": { + "node_id": "node_2659", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 254.26 kg\n Factor of Safety: 1.36\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": 254.25819101033278, + "fos_buckling": 1.3552485378961865, + "fos_yielding": 1.7464995921342503, + "deflection": 0.0046494528569030955, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004607)" + }, + "parent_node_id": "node_2658", + "improvement_over_parent": null + }, + "node_2660": { + "node_id": "node_2660", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1417769896269, + "fos_buckling": 1.5226539908626382, + "fos_yielding": 2.0118280882101804, + "deflection": 0.004041830917575825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.168)" + }, + "parent_node_id": "node_2659", + "improvement_over_parent": null + }, + "node_2661": { + "node_id": "node_2661", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2660", + "improvement_over_parent": null + }, + "node_2662": { + "node_id": "node_2662", + "content": "INITIAL DESIGN (Trace 385)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 199.22 kg\n Factor of Safety: 0.92\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": 199.21500047810147, + "fos_buckling": 0.9238337737232534, + "fos_yielding": 1.4298769376188727, + "deflection": 0.006006878351554291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2663": { + "node_id": "node_2663", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 252.06 kg\n Factor of Safety: 1.14\n Max Deflection: 4.76e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.05872979882815, + "fos_buckling": 1.1422006188416305, + "fos_yielding": 1.8058539973406094, + "deflection": 0.004760227314196219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2662", + "improvement_over_parent": null + }, + "node_2664": { + "node_id": "node_2664", + "content": "MODIFICATION: Increase 7 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 262.63 kg\n Factor of Safety: 1.39\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": 262.63243093553297, + "fos_buckling": 1.3921119726442706, + "fos_yielding": 1.8037933877543944, + "deflection": 0.004503416272054311, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.408)" + }, + "parent_node_id": "node_2663", + "improvement_over_parent": null + }, + "node_2665": { + "node_id": "node_2665", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 292.99 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.98816715021076, + "fos_buckling": 1.521940598259025, + "fos_yielding": 2.0109036620191953, + "deflection": 0.004043937862867491, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_2664", + "improvement_over_parent": null + }, + "node_2666": { + "node_id": "node_2666", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2665", + "improvement_over_parent": null + }, + "node_2667": { + "node_id": "node_2667", + "content": "INITIAL DESIGN (Trace 386)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 192.70 kg\n Factor of Safety: 0.89\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": 192.69578751186586, + "fos_buckling": 0.8927350340688667, + "fos_yielding": 1.9701625749018912, + "deflection": 0.006872557979392376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2668": { + "node_id": "node_2668", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 200.30 kg\n Factor of Safety: 0.89\n Max Deflection: 6.88e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.29862727406137, + "fos_buckling": 0.8922679615014174, + "fos_yielding": 1.9692317851146202, + "deflection": 0.006877555459712772, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.431)" + }, + "parent_node_id": "node_2667", + "improvement_over_parent": null + }, + "node_2669": { + "node_id": "node_2669", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 222.59 kg\n Factor of Safety: 0.95\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": 222.591290350795, + "fos_buckling": 0.9489207833330378, + "fos_yielding": 1.9692317851146202, + "deflection": 0.005755203936090906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004256)" + }, + "parent_node_id": "node_2668", + "improvement_over_parent": null + }, + "node_2670": { + "node_id": "node_2670", + "content": "MODIFICATION: Increase 7 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 231.91 kg\n Factor of Safety: 0.95\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": 231.91190900313316, + "fos_buckling": 0.9483134643315133, + "fos_yielding": 1.9680918928173745, + "deflection": 0.005758519975726023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.391)" + }, + "parent_node_id": "node_2669", + "improvement_over_parent": null + }, + "node_2671": { + "node_id": "node_2671", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0073)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 269.36 kg\n Factor of Safety: 1.07\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 269.3550945512721, + "fos_buckling": 1.072316659490976, + "fos_yielding": 2.286000749816077, + "deflection": 0.004965455814331963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2670", + "improvement_over_parent": null + }, + "node_2672": { + "node_id": "node_2672", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0073)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 273.09 kg\n Factor of Safety: 1.07\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": 273.09268895466016, + "fos_buckling": 1.072316659490976, + "fos_yielding": 2.9814913873382562, + "deflection": 0.004965455814331963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.431)" + }, + "parent_node_id": "node_2671", + "improvement_over_parent": null + }, + "node_2673": { + "node_id": "node_2673", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0065)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0073)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 297.47 kg\n Factor of Safety: 1.39\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": 297.47416091549223, + "fos_buckling": 1.3895229864588907, + "fos_yielding": 2.728896780774729, + "deflection": 0.0040748484648435645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2672", + "improvement_over_parent": null + }, + "node_2674": { + "node_id": "node_2674", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2673", + "improvement_over_parent": null + }, + "node_2675": { + "node_id": "node_2675", + "content": "INITIAL DESIGN (Trace 387)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 167.43 kg\n Factor of Safety: 0.47\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.42809596400613, + "fos_buckling": 0.47143438994099635, + "fos_yielding": 1.45855766106882, + "deflection": 0.010216252177946968, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2676": { + "node_id": "node_2676", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 191.11 kg\n Factor of Safety: 0.47\n Max Deflection: 9.38e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.10786300471014, + "fos_buckling": 0.47066581337774277, + "fos_yielding": 1.4572929348820045, + "deflection": 0.009380135424855324, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003902)" + }, + "parent_node_id": "node_2675", + "improvement_over_parent": null + }, + "node_2677": { + "node_id": "node_2677", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n\nPerformance:\n Mass: 216.54 kg\n Factor of Safety: 0.52\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.53703062043905, + "fos_buckling": 0.5230389826414149, + "fos_yielding": 1.6489311956766417, + "deflection": 0.008290755489269835, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_2676", + "improvement_over_parent": null + }, + "node_2678": { + "node_id": "node_2678", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 250.05 kg\n Factor of Safety: 0.59\n Max Deflection: 7.19e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.04523611323526, + "fos_buckling": 0.5884337624771012, + "fos_yielding": 1.900650563321249, + "deflection": 0.007193624795775197, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.170)" + }, + "parent_node_id": "node_2677", + "improvement_over_parent": null + }, + "node_2679": { + "node_id": "node_2679", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n\nPerformance:\n Mass: 278.54 kg\n Factor of Safety: 1.19\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 278.5362229358863, + "fos_buckling": 1.1857810649179263, + "fos_yielding": 2.0156507308865708, + "deflection": 0.0043479604609123635, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.003938)" + }, + "parent_node_id": "node_2678", + "improvement_over_parent": null + }, + "node_2680": { + "node_id": "node_2680", + "content": "MODIFICATION: Increase 7 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0084)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n\nPerformance:\n Mass: 294.49 kg\n Factor of Safety: 1.26\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": 294.48560424964154, + "fos_buckling": 1.261138958315492, + "fos_yielding": 2.016809799404832, + "deflection": 0.0042187757951593925, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.565)" + }, + "parent_node_id": "node_2679", + "improvement_over_parent": null + }, + "node_2681": { + "node_id": "node_2681", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2680", + "improvement_over_parent": null + }, + "node_2682": { + "node_id": "node_2682", + "content": "INITIAL DESIGN (Trace 388)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 182.54 kg\n Factor of Safety: 0.76\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": 182.54317990731934, + "fos_buckling": 0.7568546704454642, + "fos_yielding": 0.9418137401830929, + "deflection": 0.00716516398731574, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2683": { + "node_id": "node_2683", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n\nPerformance:\n Mass: 205.93 kg\n Factor of Safety: 0.85\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": 205.93259470793728, + "fos_buckling": 0.846609609356389, + "fos_yielding": 0.9484389317806874, + "deflection": 0.005801243977798836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003721)" + }, + "parent_node_id": "node_2682", + "improvement_over_parent": null + }, + "node_2684": { + "node_id": "node_2684", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 237.89 kg\n Factor of Safety: 0.97\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 237.8906071005922, + "fos_buckling": 0.96891796237954, + "fos_yielding": 1.0988157844270112, + "deflection": 0.005030280915270486, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.167)" + }, + "parent_node_id": "node_2683", + "improvement_over_parent": null + }, + "node_2685": { + "node_id": "node_2685", + "content": "MODIFICATION: Increase 6 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 240.71 kg\n Factor of Safety: 1.29\n Max Deflection: 4.91e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.71392241672802, + "fos_buckling": 1.294335171261828, + "fos_yielding": 1.6532674709449042, + "deflection": 0.004907245177846747, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.567)" + }, + "parent_node_id": "node_2684", + "improvement_over_parent": null + }, + "node_2686": { + "node_id": "node_2686", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.11 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.10708580110054, + "fos_buckling": 1.5223403651949334, + "fos_yielding": 2.0107557914427465, + "deflection": 0.004042335065141988, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2685", + "improvement_over_parent": null + }, + "node_2687": { + "node_id": "node_2687", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2686", + "improvement_over_parent": null + }, + "node_2688": { + "node_id": "node_2688", + "content": "INITIAL DESIGN (Trace 389)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 227.64 kg\n Factor of Safety: 0.86\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.63740062275247, + "fos_buckling": 0.8581128556949579, + "fos_yielding": 2.2892797716277644, + "deflection": 0.0058894685884908395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2689": { + "node_id": "node_2689", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 236.17 kg\n Factor of Safety: 0.86\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": 236.17380842677363, + "fos_buckling": 0.8576099975069237, + "fos_yielding": 2.2892797716277644, + "deflection": 0.00545909082744597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.353)" + }, + "parent_node_id": "node_2688", + "improvement_over_parent": null + }, + "node_2690": { + "node_id": "node_2690", + "content": "MODIFICATION: Increase 3 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 244.65 kg\n Factor of Safety: 0.86\n Max Deflection: 5.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.6528971127514, + "fos_buckling": 0.8571110989355805, + "fos_yielding": 2.2880734972210215, + "deflection": 0.005462203712569167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.585)" + }, + "parent_node_id": "node_2689", + "improvement_over_parent": null + }, + "node_2691": { + "node_id": "node_2691", + "content": "MODIFICATION: Increase 9 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 255.07 kg\n Factor of Safety: 1.07\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 255.07365453510536, + "fos_buckling": 1.072722749515726, + "fos_yielding": 2.2880734972210215, + "deflection": 0.004988018285591419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.335)" + }, + "parent_node_id": "node_2690", + "improvement_over_parent": null + }, + "node_2692": { + "node_id": "node_2692", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 286.05 kg\n Factor of Safety: 1.52\n Max Deflection: 4.19e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 286.0522005841817, + "fos_buckling": 1.5193553738679766, + "fos_yielding": 2.013943686207937, + "deflection": 0.004186044377424478, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2691", + "improvement_over_parent": null + }, + "node_2693": { + "node_id": "node_2693", + "content": "MODIFICATION: Increase 0 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1898521224266, + "fos_buckling": 1.5223131613611511, + "fos_yielding": 2.0124495548199945, + "deflection": 0.004041152394389481, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.292)" + }, + "parent_node_id": "node_2692", + "improvement_over_parent": null + }, + "node_2694": { + "node_id": "node_2694", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2693", + "improvement_over_parent": null + }, + "node_2695": { + "node_id": "node_2695", + "content": "INITIAL DESIGN (Trace 390)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 178.76 kg\n Factor of Safety: 0.90\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.76207523000494, + "fos_buckling": 0.9033102489743667, + "fos_yielding": 1.4150857289346206, + "deflection": 0.00668046726961597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2696": { + "node_id": "node_2696", + "content": "MODIFICATION: Increase 7 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 183.80 kg\n Factor of Safety: 0.90\n Max Deflection: 6.51e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.79995721182232, + "fos_buckling": 0.8997534210281596, + "fos_yielding": 1.4144264571721399, + "deflection": 0.006510046166137617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.212)" + }, + "parent_node_id": "node_2695", + "improvement_over_parent": null + }, + "node_2697": { + "node_id": "node_2697", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 217.48 kg\n Factor of Safety: 1.05\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": 217.47972819489615, + "fos_buckling": 1.0497915659712347, + "fos_yielding": 1.6704683957738877, + "deflection": 0.005510559640372479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_2696", + "improvement_over_parent": null + }, + "node_2698": { + "node_id": "node_2698", + "content": "MODIFICATION: Increase 3 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 224.20 kg\n Factor of Safety: 1.34\n Max Deflection: 5.38e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.19936412787007, + "fos_buckling": 1.3405691333647245, + "fos_yielding": 1.6466238733441658, + "deflection": 0.005377952142010364, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.536)" + }, + "parent_node_id": "node_2697", + "improvement_over_parent": null + }, + "node_2699": { + "node_id": "node_2699", + "content": "MODIFICATION: Increase 8 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 228.91 kg\n Factor of Safety: 1.33\n Max Deflection: 5.30e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 228.90979954903452, + "fos_buckling": 1.334481126984164, + "fos_yielding": 1.6471631532597588, + "deflection": 0.0053017582174801235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.225)" + }, + "parent_node_id": "node_2698", + "improvement_over_parent": null + }, + "node_2700": { + "node_id": "node_2700", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 236.03 kg\n Factor of Safety: 1.30\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.02744718729457, + "fos_buckling": 1.304543457421919, + "fos_yielding": 1.6457496665566178, + "deflection": 0.005081444521970318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.364)" + }, + "parent_node_id": "node_2699", + "improvement_over_parent": null + }, + "node_2701": { + "node_id": "node_2701", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.93 kg\n Factor of Safety: 1.52\n Max Deflection: 4.22e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 284.9343019205503, + "fos_buckling": 1.5226242354587463, + "fos_yielding": 1.984175325758707, + "deflection": 0.0042197361784343315, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.227)" + }, + "parent_node_id": "node_2700", + "improvement_over_parent": null + }, + "node_2702": { + "node_id": "node_2702", + "content": "MODIFICATION: Increase 1 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3464761578295, + "fos_buckling": 1.5231433062468844, + "fos_yielding": 2.0130605490237503, + "deflection": 0.0040388679193884384, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.346)" + }, + "parent_node_id": "node_2701", + "improvement_over_parent": null + }, + "node_2703": { + "node_id": "node_2703", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2702", + "improvement_over_parent": null + }, + "node_2704": { + "node_id": "node_2704", + "content": "INITIAL DESIGN (Trace 391)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 156.02 kg\n Factor of Safety: 1.17\n Max Deflection: 7.98e+12 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.02280618806486, + "fos_buckling": 1.1675980158649941, + "fos_yielding": 1.5895416476863928, + "deflection": 7976517990649.336, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2705": { + "node_id": "node_2705", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 182.66 kg\n Factor of Safety: 0.49\n Max Deflection: 9.65e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.66155556188897, + "fos_buckling": 0.49489135014159125, + "fos_yielding": 1.5435842308422734, + "deflection": 0.009653893742160188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004277)" + }, + "parent_node_id": "node_2704", + "improvement_over_parent": null + }, + "node_2706": { + "node_id": "node_2706", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n\nPerformance:\n Mass: 202.40 kg\n Factor of Safety: 0.49\n Max Deflection: 8.86e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.4008842430041, + "fos_buckling": 0.49421928853202335, + "fos_yielding": 1.542469185285583, + "deflection": 0.008862711726432923, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003865)" + }, + "parent_node_id": "node_2705", + "improvement_over_parent": null + }, + "node_2707": { + "node_id": "node_2707", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 249.96 kg\n Factor of Safety: 0.59\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.96150445618838, + "fos_buckling": 0.5882769238501112, + "fos_yielding": 1.9000287713277466, + "deflection": 0.007196122838590377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_2706", + "improvement_over_parent": null + }, + "node_2708": { + "node_id": "node_2708", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1595623936406, + "fos_buckling": 1.5225740712941942, + "fos_yielding": 2.01189516454934, + "deflection": 0.004041568519652857, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2707", + "improvement_over_parent": null + }, + "node_2709": { + "node_id": "node_2709", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2708", + "improvement_over_parent": null + }, + "node_2710": { + "node_id": "node_2710", + "content": "INITIAL DESIGN (Trace 392)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\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_2711": { + "node_id": "node_2711", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 216.52 kg\n Factor of Safety: 0.65\n Max Deflection: 1.59e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.51599144005465, + "fos_buckling": 0.6545951193452767, + "fos_yielding": 1.1253073712763755, + "deflection": 15865731448821.848, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2710", + "improvement_over_parent": null + }, + "node_2712": { + "node_id": "node_2712", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 247.49 kg\n Factor of Safety: 0.52\n Max Deflection: 7.72e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.494537489131, + "fos_buckling": 0.5216621332867974, + "fos_yielding": 1.5726989312953537, + "deflection": 0.007718254011294596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2711", + "improvement_over_parent": null + }, + "node_2713": { + "node_id": "node_2713", + "content": "MODIFICATION: Increase 5 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0060)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 250.22 kg\n Factor of Safety: 0.52\n Max Deflection: 7.57e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.22496142923075, + "fos_buckling": 0.5216621332867974, + "fos_yielding": 1.6289331209834133, + "deflection": 0.007568064276547469, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.311)" + }, + "parent_node_id": "node_2712", + "improvement_over_parent": null + }, + "node_2714": { + "node_id": "node_2714", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0060)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 294.81 kg\n Factor of Safety: 1.48\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": 294.8068925971766, + "fos_buckling": 1.4753148785702723, + "fos_yielding": 2.556946221785321, + "deflection": 0.0040511173763685656, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2713", + "improvement_over_parent": null + }, + "node_2715": { + "node_id": "node_2715", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2714", + "improvement_over_parent": null + }, + "node_2716": { + "node_id": "node_2716", + "content": "INITIAL DESIGN (Trace 393)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 249.36 kg\n Factor of Safety: 1.07\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": 249.3620729426449, + "fos_buckling": 1.0733793258776287, + "fos_yielding": 1.7981632048192344, + "deflection": 0.005043422832551332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2717": { + "node_id": "node_2717", + "content": "MODIFICATION: Increase 6 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 251.50 kg\n Factor of Safety: 1.07\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": 251.49542380860152, + "fos_buckling": 1.0733793258776287, + "fos_yielding": 2.287645625767265, + "deflection": 0.005043422832551332, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.299)" + }, + "parent_node_id": "node_2716", + "improvement_over_parent": null + }, + "node_2718": { + "node_id": "node_2718", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 282.47 kg\n Factor of Safety: 1.28\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.4739698576779, + "fos_buckling": 1.2823485353407762, + "fos_yielding": 2.014150547791207, + "deflection": 0.004245071745248123, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2717", + "improvement_over_parent": null + }, + "node_2719": { + "node_id": "node_2719", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.23643272156994, + "fos_buckling": 1.522850539373779, + "fos_yielding": 2.0120784683763544, + "deflection": 0.00404052833751919, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.364)" + }, + "parent_node_id": "node_2718", + "improvement_over_parent": null + }, + "node_2720": { + "node_id": "node_2720", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2719", + "improvement_over_parent": null + }, + "node_2721": { + "node_id": "node_2721", + "content": "INITIAL DESIGN (Trace 394)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\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_2722": { + "node_id": "node_2722", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 183.91 kg\n Factor of Safety: 0.34\n Max Deflection: 2.82e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 183.90855805146234, + "fos_buckling": 0.335122358894305, + "fos_yielding": 1.154441039946126, + "deflection": 0.028175432723844405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003447)" + }, + "parent_node_id": "node_2721", + "improvement_over_parent": null + }, + "node_2723": { + "node_id": "node_2723", + "content": "MODIFICATION: Increase 8 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 194.43 kg\n Factor of Safety: 0.42\n Max Deflection: 2.50e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.4349108763279, + "fos_buckling": 0.41990911802686187, + "fos_yielding": 1.5421558636902573, + "deflection": 0.025041965242694614, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.443)" + }, + "parent_node_id": "node_2722", + "improvement_over_parent": null + }, + "node_2724": { + "node_id": "node_2724", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 240.38 kg\n Factor of Safety: 0.51\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": 240.37852968264443, + "fos_buckling": 0.5050382786410501, + "fos_yielding": 1.9013323370011759, + "deflection": 0.020279447760324375, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.259)" + }, + "parent_node_id": "node_2723", + "improvement_over_parent": null + }, + "node_2725": { + "node_id": "node_2725", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 245.59 kg\n Factor of Safety: 0.50\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.59235971645853, + "fos_buckling": 0.5046769884217633, + "fos_yielding": 1.9006082933871122, + "deflection": 0.007562036507977585, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2724", + "improvement_over_parent": null + }, + "node_2726": { + "node_id": "node_2726", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 288.79 kg\n Factor of Safety: 1.49\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": 288.79041765391077, + "fos_buckling": 1.4910556630535425, + "fos_yielding": 2.010968206401512, + "deflection": 0.0040855175549445325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2725", + "improvement_over_parent": null + }, + "node_2727": { + "node_id": "node_2727", + "content": "MODIFICATION: Increase 2 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.12805283162066, + "fos_buckling": 1.5224382777940464, + "fos_yielding": 2.0115576818583016, + "deflection": 0.004041959600965796, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.221)" + }, + "parent_node_id": "node_2726", + "improvement_over_parent": null + }, + "node_2728": { + "node_id": "node_2728", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2727", + "improvement_over_parent": null + }, + "node_2729": { + "node_id": "node_2729", + "content": "INITIAL DESIGN (Trace 395)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\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_2730": { + "node_id": "node_2730", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 188.05 kg\n Factor of Safety: 0.88\n Max Deflection: 1.47e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 188.04737713977647, + "fos_buckling": 0.8782285280424161, + "fos_yielding": 1.918607104428292, + "deflection": 146792642805.38254, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004440)" + }, + "parent_node_id": "node_2729", + "improvement_over_parent": null + }, + "node_2731": { + "node_id": "node_2731", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 192.42 kg\n Factor of Safety: 0.87\n Max Deflection: 7.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 192.41654314685965, + "fos_buckling": 0.8725344172520175, + "fos_yielding": 1.918607104428292, + "deflection": 0.007052521507410416, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002727)" + }, + "parent_node_id": "node_2730", + "improvement_over_parent": null + }, + "node_2732": { + "node_id": "node_2732", + "content": "MODIFICATION: Increase 2 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 198.05 kg\n Factor of Safety: 0.87\n Max Deflection: 7.06e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.04617883273326, + "fos_buckling": 0.8721963758754355, + "fos_yielding": 1.9179356533557748, + "deflection": 0.00705525014731051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.410)" + }, + "parent_node_id": "node_2731", + "improvement_over_parent": null + }, + "node_2733": { + "node_id": "node_2733", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 219.75 kg\n Factor of Safety: 0.93\n Max Deflection: 5.77e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.74708033899006, + "fos_buckling": 0.9276124409648904, + "fos_yielding": 1.9179356533557748, + "deflection": 0.005774119102987629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004134)" + }, + "parent_node_id": "node_2732", + "improvement_over_parent": null + }, + "node_2734": { + "node_id": "node_2734", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 245.70 kg\n Factor of Safety: 1.32\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": 245.70451256827536, + "fos_buckling": 1.3168973980362875, + "fos_yielding": 1.688124744727875, + "deflection": 0.004808921876231619, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004307)" + }, + "parent_node_id": "node_2733", + "improvement_over_parent": null + }, + "node_2735": { + "node_id": "node_2735", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.13433168433255, + "fos_buckling": 1.5224864980222461, + "fos_yielding": 2.0118415113180124, + "deflection": 0.004041929335765918, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_2734", + "improvement_over_parent": null + }, + "node_2736": { + "node_id": "node_2736", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2735", + "improvement_over_parent": null + }, + "node_2737": { + "node_id": "node_2737", + "content": "INITIAL DESIGN (Trace 396)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 200.11 kg\n Factor of Safety: 0.98\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": 200.11426158669673, + "fos_buckling": 0.9814738316774668, + "fos_yielding": 1.1150158003245778, + "deflection": 0.006017914632508003, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2738": { + "node_id": "node_2738", + "content": "MODIFICATION: Increase 6 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 201.73 kg\n Factor of Safety: 1.14\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": 201.72579821943265, + "fos_buckling": 1.13999636094342, + "fos_yielding": 1.4320310251834356, + "deflection": 0.005938351085231358, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.314)" + }, + "parent_node_id": "node_2737", + "improvement_over_parent": null + }, + "node_2739": { + "node_id": "node_2739", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 208.19 kg\n Factor of Safety: 1.14\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.18808555336443, + "fos_buckling": 1.1431825784441167, + "fos_yielding": 1.4306565559209516, + "deflection": 0.005663138212338124, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.389)" + }, + "parent_node_id": "node_2738", + "improvement_over_parent": null + }, + "node_2740": { + "node_id": "node_2740", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 252.85 kg\n Factor of Safety: 1.35\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": 252.85426070951806, + "fos_buckling": 1.3487858272251982, + "fos_yielding": 1.7358681718849143, + "deflection": 0.004674877486202466, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2739", + "improvement_over_parent": null + }, + "node_2741": { + "node_id": "node_2741", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.136236518331, + "fos_buckling": 1.5223900194261315, + "fos_yielding": 2.010601678336677, + "deflection": 0.004041897628399714, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_2740", + "improvement_over_parent": null + }, + "node_2742": { + "node_id": "node_2742", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 397)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 209.99 kg\n Factor of Safety: 0.59\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": 209.99246186149665, + "fos_buckling": 0.5868010461492563, + "fos_yielding": 1.7217335275683132, + "deflection": 0.0069340593229143144, + "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 all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 244.17 kg\n Factor of Safety: 0.67\n Max Deflection: 5.97e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.17172809357746, + "fos_buckling": 0.6739363234478979, + "fos_yielding": 1.999005799320797, + "deflection": 0.005965261087090127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2743", + "improvement_over_parent": null + }, + "node_2745": { + "node_id": "node_2745", + "content": "MODIFICATION: Increase 7 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.36 kg\n Factor of Safety: 1.01\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": 260.3575331051524, + "fos_buckling": 1.007893628422676, + "fos_yielding": 1.9986751656402009, + "deflection": 0.005005556201275767, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.656)" + }, + "parent_node_id": "node_2744", + "improvement_over_parent": null + }, + "node_2746": { + "node_id": "node_2746", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2700697367694, + "fos_buckling": 1.5229102115895743, + "fos_yielding": 2.0124593426676927, + "deflection": 0.004040045372791036, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2745", + "improvement_over_parent": null + }, + "node_2747": { + "node_id": "node_2747", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2746", + "improvement_over_parent": null + }, + "node_2748": { + "node_id": "node_2748", + "content": "INITIAL DESIGN (Trace 398)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0020)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 114.07 kg\n Factor of Safety: 0.56\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": 114.06567227550593, + "fos_buckling": 0.56034398574985, + "fos_yielding": 1.0820938851108264, + "deflection": 0.011678305460048104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2749": { + "node_id": "node_2749", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 144.73 kg\n Factor of Safety: 0.69\n Max Deflection: 9.21e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.73330025894882, + "fos_buckling": 0.6942623724522483, + "fos_yielding": 1.3716353421617486, + "deflection": 0.009214909782575916, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2748", + "improvement_over_parent": null + }, + "node_2750": { + "node_id": "node_2750", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 170.96 kg\n Factor of Safety: 0.80\n Max Deflection: 7.81e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.96258943035838, + "fos_buckling": 0.8032586648233647, + "fos_yielding": 1.6187655976211048, + "deflection": 0.007809022367639482, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2749", + "improvement_over_parent": null + }, + "node_2751": { + "node_id": "node_2751", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 208.33 kg\n Factor of Safety: 0.95\n Max Deflection: 6.42e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 208.32886165918654, + "fos_buckling": 0.9497886622728225, + "fos_yielding": 1.9699767877465983, + "deflection": 0.006417331960879504, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_2750", + "improvement_over_parent": null + }, + "node_2752": { + "node_id": "node_2752", + "content": "MODIFICATION: Increase 1 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 216.41 kg\n Factor of Safety: 0.95\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.40796277963517, + "fos_buckling": 0.9492612422556737, + "fos_yielding": 1.9699767877465983, + "deflection": 0.0058485898090740755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.395)" + }, + "parent_node_id": "node_2751", + "improvement_over_parent": null + }, + "node_2753": { + "node_id": "node_2753", + "content": "MODIFICATION: Increase 7 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 225.72 kg\n Factor of Safety: 0.95\n Max Deflection: 5.62e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.71885385041816, + "fos_buckling": 0.948654134566684, + "fos_yielding": 1.9699767877465983, + "deflection": 0.005623616217351672, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.361)" + }, + "parent_node_id": "node_2752", + "improvement_over_parent": null + }, + "node_2754": { + "node_id": "node_2754", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 252.37 kg\n Factor of Safety: 1.35\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": 252.37242791778272, + "fos_buckling": 1.3467746115996664, + "fos_yielding": 1.7337594705655424, + "deflection": 0.0046836045288188325, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004432)" + }, + "parent_node_id": "node_2753", + "improvement_over_parent": null + }, + "node_2755": { + "node_id": "node_2755", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2655701073498, + "fos_buckling": 1.523073771497353, + "fos_yielding": 2.012831577111337, + "deflection": 0.004040088527962239, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2754", + "improvement_over_parent": null + }, + "node_2756": { + "node_id": "node_2756", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2755", + "improvement_over_parent": null + }, + "node_2757": { + "node_id": "node_2757", + "content": "INITIAL DESIGN (Trace 399)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 143.83 kg\n Factor of Safety: 0.43\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": 143.83313945477465, + "fos_buckling": 0.4342727109144216, + "fos_yielding": 0.7769485620674502, + "deflection": 0.015911067029028395, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2758": { + "node_id": "node_2758", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 180.75 kg\n Factor of Safety: 0.52\n Max Deflection: 1.27e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.74546816726894, + "fos_buckling": 0.5241393189388992, + "fos_yielding": 0.9811486612729965, + "deflection": 0.012677423442334782, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.279)" + }, + "parent_node_id": "node_2757", + "improvement_over_parent": null + }, + "node_2759": { + "node_id": "node_2759", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 223.94 kg\n Factor of Safety: 0.52\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.94352610472117, + "fos_buckling": 0.5225841068982027, + "fos_yielding": 0.9802429603821471, + "deflection": 0.008284012519943061, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2758", + "improvement_over_parent": null + }, + "node_2760": { + "node_id": "node_2760", + "content": "MODIFICATION: Increase 6 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 227.70 kg\n Factor of Safety: 0.52\n Max Deflection: 7.86e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.70457780202213, + "fos_buckling": 0.5225841068982027, + "fos_yielding": 1.5737535502167825, + "deflection": 0.007861218121765367, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.664)" + }, + "parent_node_id": "node_2759", + "improvement_over_parent": null + }, + "node_2761": { + "node_id": "node_2761", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 272.29 kg\n Factor of Safety: 1.50\n Max Deflection: 4.39e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 272.286508969968, + "fos_buckling": 1.5032398700799532, + "fos_yielding": 2.0130053046411205, + "deflection": 0.004394599144376651, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2760", + "improvement_over_parent": null + }, + "node_2762": { + "node_id": "node_2762", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.15 kg\n Factor of Safety: 1.42\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": 281.15164186639345, + "fos_buckling": 1.4239356794316067, + "fos_yielding": 2.0111876476744643, + "deflection": 0.004172933098575874, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.387)" + }, + "parent_node_id": "node_2761", + "improvement_over_parent": null + }, + "node_2763": { + "node_id": "node_2763", + "content": "MODIFICATION: Increase 8 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0086)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 298.15 kg\n Factor of Safety: 1.42\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 298.153779399004, + "fos_buckling": 1.419322343991241, + "fos_yielding": 1.981643521101328, + "deflection": 0.004080940023318572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.645)" + }, + "parent_node_id": "node_2762", + "improvement_over_parent": null + }, + "node_2764": { + "node_id": "node_2764", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2763", + "improvement_over_parent": null + }, + "node_2765": { + "node_id": "node_2765", + "content": "INITIAL DESIGN (Trace 400)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n\nPerformance:\n Mass: 101.55 kg\n Factor of Safety: 0.28\n Max Deflection: 1.69e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 101.55309682897122, + "fos_buckling": 0.28082455849287363, + "fos_yielding": 0.7711003218287948, + "deflection": 0.01686956790850211, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2766": { + "node_id": "node_2766", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0021)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0023)]\n\nPerformance:\n Mass: 118.83 kg\n Factor of Safety: 0.54\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": 118.83253020829851, + "fos_buckling": 0.54204643333376, + "fos_yielding": 0.9551349794304415, + "deflection": 0.010786420077860726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.002296)" + }, + "parent_node_id": "node_2765", + "improvement_over_parent": null + }, + "node_2767": { + "node_id": "node_2767", + "content": "MODIFICATION: Increase 1 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0023)]\n\nPerformance:\n Mass: 122.60 kg\n Factor of Safety: 0.54\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.60329203639556, + "fos_buckling": 0.5419050789505193, + "fos_yielding": 0.9658776668080467, + "deflection": 0.010503747215841491, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.294)" + }, + "parent_node_id": "node_2766", + "improvement_over_parent": null + }, + "node_2768": { + "node_id": "node_2768", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 158.09 kg\n Factor of Safety: 0.68\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.08845024374529, + "fos_buckling": 0.680624732434929, + "fos_yielding": 1.2440511080451582, + "deflection": 0.008163859220858218, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2767", + "improvement_over_parent": null + }, + "node_2769": { + "node_id": "node_2769", + "content": "MODIFICATION: Increase 9 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 163.82 kg\n Factor of Safety: 0.68\n Max Deflection: 7.91e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.82136803552572, + "fos_buckling": 0.6803556156689203, + "fos_yielding": 1.2605652448328828, + "deflection": 0.007909067158352085, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.271)" + }, + "parent_node_id": "node_2768", + "improvement_over_parent": null + }, + "node_2770": { + "node_id": "node_2770", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n\nPerformance:\n Mass: 184.53 kg\n Factor of Safety: 1.03\n Max Deflection: 6.38e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 184.5281834891474, + "fos_buckling": 1.0288545144446557, + "fos_yielding": 1.2694123350343514, + "deflection": 0.00638024775691196, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003270)" + }, + "parent_node_id": "node_2769", + "improvement_over_parent": null + }, + "node_2771": { + "node_id": "node_2771", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 235.04 kg\n Factor of Safety: 1.27\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": 235.03517717095593, + "fos_buckling": 1.2686420187158491, + "fos_yielding": 1.615023286812568, + "deflection": 0.005023936194376488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2770", + "improvement_over_parent": null + }, + "node_2772": { + "node_id": "node_2772", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2629358792096, + "fos_buckling": 1.5231512702147256, + "fos_yielding": 2.0124924061117553, + "deflection": 0.004040053240724398, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.272)" + }, + "parent_node_id": "node_2771", + "improvement_over_parent": null + }, + "node_2773": { + "node_id": "node_2773", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2772", + "improvement_over_parent": null + }, + "node_2774": { + "node_id": "node_2774", + "content": "INITIAL DESIGN (Trace 401)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0019)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0024)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 119.55 kg\n Factor of Safety: 0.59\n Max Deflection: 1.05e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 119.55199935480636, + "fos_buckling": 0.5872130050714742, + "fos_yielding": 1.138992028927665, + "deflection": 0.010473848010795183, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2775": { + "node_id": "node_2775", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 132.94 kg\n Factor of Safety: 0.65\n Max Deflection: 9.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.94053637119399, + "fos_buckling": 0.6461973779177751, + "fos_yielding": 1.2659744505076944, + "deflection": 0.009426909801980167, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_2774", + "improvement_over_parent": null + }, + "node_2776": { + "node_id": "node_2776", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 166.00 kg\n Factor of Safety: 0.79\n Max Deflection: 7.56e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.0041877318728, + "fos_buckling": 0.7861014588229958, + "fos_yielding": 1.5790282138734983, + "deflection": 0.007564929730385465, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.263)" + }, + "parent_node_id": "node_2775", + "improvement_over_parent": null + }, + "node_2777": { + "node_id": "node_2777", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 187.48 kg\n Factor of Safety: 0.87\n Max Deflection: 6.71e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 187.48006256749855, + "fos_buckling": 0.8726079895831852, + "fos_yielding": 1.7819427118594322, + "deflection": 0.006707349170343997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2776", + "improvement_over_parent": null + }, + "node_2778": { + "node_id": "node_2778", + "content": "MODIFICATION: Increase 0 thickness by 45%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 195.32 kg\n Factor of Safety: 0.87\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": 195.3159316082973, + "fos_buckling": 0.872137365690753, + "fos_yielding": 1.7819427118594322, + "deflection": 0.00647327699904474, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.451)" + }, + "parent_node_id": "node_2777", + "improvement_over_parent": null + }, + "node_2779": { + "node_id": "node_2779", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 251.38 kg\n Factor of Safety: 1.07\n Max Deflection: 5.05e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.38215833708253, + "fos_buckling": 1.0743379575977312, + "fos_yielding": 2.2905356288756793, + "deflection": 0.005046685141681958, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2778", + "improvement_over_parent": null + }, + "node_2780": { + "node_id": "node_2780", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 282.36 kg\n Factor of Safety: 1.27\n Max Deflection: 4.25e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.3607043861589, + "fos_buckling": 1.2744948181176474, + "fos_yielding": 2.016845190264692, + "deflection": 0.004249934578220702, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2779", + "improvement_over_parent": null + }, + "node_2781": { + "node_id": "node_2781", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.5060384033419, + "fos_buckling": 1.5239939749194165, + "fos_yielding": 2.014682367559341, + "deflection": 0.00403670399725146, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.381)" + }, + "parent_node_id": "node_2780", + "improvement_over_parent": null + }, + "node_2782": { + "node_id": "node_2782", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2781", + "improvement_over_parent": null + }, + "node_2783": { + "node_id": "node_2783", + "content": "INITIAL DESIGN (Trace 402)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 173.06 kg\n Factor of Safety: 0.74\n Max Deflection: 7.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.0585277486877, + "fos_buckling": 0.7391065750605911, + "fos_yielding": 1.473601059968934, + "deflection": 0.007493619725863724, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2784": { + "node_id": "node_2784", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 194.33 kg\n Factor of Safety: 0.82\n Max Deflection: 6.68e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.3266750565006, + "fos_buckling": 0.8176686098970141, + "fos_yielding": 1.6543670788823963, + "deflection": 0.006682411942104689, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.131)" + }, + "parent_node_id": "node_2783", + "improvement_over_parent": null + }, + "node_2785": { + "node_id": "node_2785", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 235.60 kg\n Factor of Safety: 0.96\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.59623700896324, + "fos_buckling": 0.9625691773549012, + "fos_yielding": 2.00492506789283, + "deflection": 0.0055261480494083175, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.230)" + }, + "parent_node_id": "node_2784", + "improvement_over_parent": null + }, + "node_2786": { + "node_id": "node_2786", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n\nPerformance:\n Mass: 256.95 kg\n Factor of Safety: 1.37\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": 256.94738625714007, + "fos_buckling": 1.3670148330641594, + "fos_yielding": 1.7650538012708716, + "deflection": 0.004601405378568775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004207)" + }, + "parent_node_id": "node_2785", + "improvement_over_parent": null + }, + "node_2787": { + "node_id": "node_2787", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.43 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4284108816205, + "fos_buckling": 1.5236910329298605, + "fos_yielding": 2.0139951343634257, + "deflection": 0.004037859173299243, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.156)" + }, + "parent_node_id": "node_2786", + "improvement_over_parent": null + }, + "node_2788": { + "node_id": "node_2788", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2787", + "improvement_over_parent": null + }, + "node_2789": { + "node_id": "node_2789", + "content": "INITIAL DESIGN (Trace 403)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 158.03 kg\n Factor of Safety: 0.76\n Max Deflection: 9.45e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 158.02598132592777, + "fos_buckling": 0.7602356717546531, + "fos_yielding": 1.6316189786556012, + "deflection": 0.009452324795094471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2790": { + "node_id": "node_2790", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n\nPerformance:\n Mass: 181.49 kg\n Factor of Safety: 0.81\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": 181.48619975757504, + "fos_buckling": 0.808437064264359, + "fos_yielding": 1.5932310752617285, + "deflection": 0.007249672856517347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003733)" + }, + "parent_node_id": "node_2789", + "improvement_over_parent": null + }, + "node_2791": { + "node_id": "node_2791", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 201.99 kg\n Factor of Safety: 0.89\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": 201.99432864601056, + "fos_buckling": 0.885943139620162, + "fos_yielding": 1.7742721509805723, + "deflection": 0.00652066801970136, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2790", + "improvement_over_parent": null + }, + "node_2792": { + "node_id": "node_2792", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 254.64 kg\n Factor of Safety: 1.07\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": 254.63726712303784, + "fos_buckling": 1.0722842019370054, + "fos_yielding": 2.240431249154954, + "deflection": 0.005186825104553827, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.285)" + }, + "parent_node_id": "node_2791", + "improvement_over_parent": null + }, + "node_2793": { + "node_id": "node_2793", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 255.98 kg\n Factor of Safety: 1.07\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": 255.9805009528063, + "fos_buckling": 1.072284201937005, + "fos_yielding": 2.2851524708697024, + "deflection": 0.005144653455350042, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.259)" + }, + "parent_node_id": "node_2792", + "improvement_over_parent": null + }, + "node_2794": { + "node_id": "node_2794", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 259.76 kg\n Factor of Safety: 1.07\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": 259.7565092360794, + "fos_buckling": 1.072006700109789, + "fos_yielding": 2.2851524708697033, + "deflection": 0.00503504167603752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.189)" + }, + "parent_node_id": "node_2793", + "improvement_over_parent": null + }, + "node_2795": { + "node_id": "node_2795", + "content": "MODIFICATION: Increase 0 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 268.61 kg\n Factor of Safety: 1.07\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": 268.61087512396165, + "fos_buckling": 1.071356548721648, + "fos_yielding": 2.2851524708697024, + "deflection": 0.0048569979085891475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.387)" + }, + "parent_node_id": "node_2794", + "improvement_over_parent": null + }, + "node_2796": { + "node_id": "node_2796", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 292.99 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.9923470847938, + "fos_buckling": 1.521962416732209, + "fos_yielding": 2.010648971130428, + "deflection": 0.004043980777420119, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2795", + "improvement_over_parent": null + }, + "node_2797": { + "node_id": "node_2797", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 404)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0033)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n\nPerformance:\n Mass: 109.07 kg\n Factor of Safety: 0.52\n Max Deflection: 2.68e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 109.07489516601825, + "fos_buckling": 0.5155285969988027, + "fos_yielding": 1.3389980680505715, + "deflection": 26844751930416.15, + "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 all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n\nPerformance:\n Mass: 140.11 kg\n Factor of Safety: 0.13\n Max Deflection: 1.60e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 140.10788719454865, + "fos_buckling": 0.12842456540666358, + "fos_yielding": 0.47062559318184194, + "deflection": 160220099630812.66, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_2798", + "improvement_over_parent": null + }, + "node_2800": { + "node_id": "node_2800", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n\nPerformance:\n Mass: 144.02 kg\n Factor of Safety: 0.25\n Max Deflection: 2.23e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 144.02343859051757, + "fos_buckling": 0.25031836163417115, + "fos_yielding": 0.5626536856381877, + "deflection": 22303712370333.04, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002424)" + }, + "parent_node_id": "node_2799", + "improvement_over_parent": null + }, + "node_2801": { + "node_id": "node_2801", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n\nPerformance:\n Mass: 163.47 kg\n Factor of Safety: 0.26\n Max Deflection: 4.23e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.47296564313584, + "fos_buckling": 0.25684913081332716, + "fos_yielding": 0.9412511863636839, + "deflection": 42283265798926.484, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003675)" + }, + "parent_node_id": "node_2800", + "improvement_over_parent": null + }, + "node_2802": { + "node_id": "node_2802", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n\nPerformance:\n Mass: 186.74 kg\n Factor of Safety: 0.41\n Max Deflection: 9.98e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 186.74426792677934, + "fos_buckling": 0.41097199724286254, + "fos_yielding": 1.1834133473732764, + "deflection": 0.009978089130225062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003830)" + }, + "parent_node_id": "node_2801", + "improvement_over_parent": null + }, + "node_2803": { + "node_id": "node_2803", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 213.86 kg\n Factor of Safety: 0.46\n Max Deflection: 8.73e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.85540204685458, + "fos_buckling": 0.46096024609729275, + "fos_yielding": 1.354057855575939, + "deflection": 0.008726495923017174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2802", + "improvement_over_parent": null + }, + "node_2804": { + "node_id": "node_2804", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 252.23 kg\n Factor of Safety: 1.35\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 252.23183417849, + "fos_buckling": 1.346742305131308, + "fos_yielding": 1.7325288621789288, + "deflection": 0.00468620645589288, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005320)" + }, + "parent_node_id": "node_2803", + "improvement_over_parent": null + }, + "node_2805": { + "node_id": "node_2805", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.10 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1047987777244, + "fos_buckling": 1.5230330145919089, + "fos_yielding": 2.0114266679399693, + "deflection": 0.004042291810484273, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_2804", + "improvement_over_parent": null + }, + "node_2806": { + "node_id": "node_2806", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2805", + "improvement_over_parent": null + }, + "node_2807": { + "node_id": "node_2807", + "content": "INITIAL DESIGN (Trace 405)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 222.40 kg\n Factor of Safety: 0.99\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": 222.40133648129392, + "fos_buckling": 0.9883547449350908, + "fos_yielding": 1.5894637335010868, + "deflection": 0.005426985885536388, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2808": { + "node_id": "node_2808", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.39 kg\n Factor of Safety: 1.03\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": 231.3932087964749, + "fos_buckling": 1.0266065532534834, + "fos_yielding": 1.6013904778202597, + "deflection": 0.0051407337268645605, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.381)" + }, + "parent_node_id": "node_2807", + "improvement_over_parent": null + }, + "node_2809": { + "node_id": "node_2809", + "content": "MODIFICATION: Increase 4 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 233.09 kg\n Factor of Safety: 1.26\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.09433282253127, + "fos_buckling": 1.259758163202701, + "fos_yielding": 1.6021109046162276, + "deflection": 0.005065464728649621, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.468)" + }, + "parent_node_id": "node_2808", + "improvement_over_parent": null + }, + "node_2810": { + "node_id": "node_2810", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.39 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3897765057687, + "fos_buckling": 1.5237026435704486, + "fos_yielding": 2.0137911681568146, + "deflection": 0.004038545130649029, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.284)" + }, + "parent_node_id": "node_2809", + "improvement_over_parent": null + }, + "node_2811": { + "node_id": "node_2811", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 406)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n\nPerformance:\n Mass: 154.17 kg\n Factor of Safety: 0.58\n Max Deflection: 4.00e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.17169198865648, + "fos_buckling": 0.5800543919489807, + "fos_yielding": 0.28132684281909387, + "deflection": 40023298405582.65, + "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: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n\nPerformance:\n Mass: 163.16 kg\n Factor of Safety: 0.50\n Max Deflection: 1.94e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.16067714255306, + "fos_buckling": 0.4995846572121324, + "fos_yielding": 1.8233562255929197, + "deflection": 19410050160344.84, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.427)" + }, + "parent_node_id": "node_2812", + "improvement_over_parent": null + }, + "node_2814": { + "node_id": "node_2814", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n\nPerformance:\n Mass: 180.90 kg\n Factor of Safety: 0.40\n Max Deflection: 1.03e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.9002303539713, + "fos_buckling": 0.3999037979580371, + "fos_yielding": 1.1466391214352096, + "deflection": 0.010297164928432186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003447)" + }, + "parent_node_id": "node_2813", + "improvement_over_parent": null + }, + "node_2815": { + "node_id": "node_2815", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n\nPerformance:\n Mass: 200.92 kg\n Factor of Safety: 0.44\n Max Deflection: 9.28e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.91524116136185, + "fos_buckling": 0.43742991283099325, + "fos_yielding": 1.2726984514651316, + "deflection": 0.00928186856844579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.119)" + }, + "parent_node_id": "node_2814", + "improvement_over_parent": null + }, + "node_2816": { + "node_id": "node_2816", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 236.91 kg\n Factor of Safety: 1.28\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": 236.91285061880177, + "fos_buckling": 1.2766246677544666, + "fos_yielding": 1.6281825773623702, + "deflection": 0.004984939358094037, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004965)" + }, + "parent_node_id": "node_2815", + "improvement_over_parent": null + }, + "node_2817": { + "node_id": "node_2817", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22953432514834, + "fos_buckling": 1.5223819020761222, + "fos_yielding": 2.0126579196040995, + "deflection": 0.0040407248663915565, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.261)" + }, + "parent_node_id": "node_2816", + "improvement_over_parent": null + }, + "node_2818": { + "node_id": "node_2818", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 407)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n\nPerformance:\n Mass: 117.39 kg\n Factor of Safety: 0.50\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": 117.38501382758753, + "fos_buckling": 0.5007114118048076, + "fos_yielding": 1.021239963454767, + "deflection": 0.013053719046503669, + "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: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 151.47 kg\n Factor of Safety: 0.63\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": 151.4693562525962, + "fos_buckling": 0.6309297749857391, + "fos_yielding": 1.315670064486433, + "deflection": 0.010126752108390199, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.305)" + }, + "parent_node_id": "node_2819", + "improvement_over_parent": null + }, + "node_2821": { + "node_id": "node_2821", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n\nPerformance:\n Mass: 154.49 kg\n Factor of Safety: 0.63\n Max Deflection: 8.61e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 154.48503030392624, + "fos_buckling": 0.6306671631776156, + "fos_yielding": 1.157937135989148, + "deflection": 0.00860714096521877, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001838)" + }, + "parent_node_id": "node_2820", + "improvement_over_parent": null + }, + "node_2822": { + "node_id": "node_2822", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n\nPerformance:\n Mass: 169.46 kg\n Factor of Safety: 0.95\n Max Deflection: 6.94e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.46174229353733, + "fos_buckling": 0.9537387582622275, + "fos_yielding": 1.166188226598999, + "deflection": 0.00694163677769228, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.002786)" + }, + "parent_node_id": "node_2821", + "improvement_over_parent": null + }, + "node_2823": { + "node_id": "node_2823", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 212.55 kg\n Factor of Safety: 1.16\n Max Deflection: 5.55e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.5528225981359, + "fos_buckling": 1.163945416655444, + "fos_yielding": 1.4613086239054802, + "deflection": 0.0055482619466073226, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_2822", + "improvement_over_parent": null + }, + "node_2824": { + "node_id": "node_2824", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n\nPerformance:\n Mass: 253.62 kg\n Factor of Safety: 1.35\n Max Deflection: 4.66e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.61896032102038, + "fos_buckling": 1.3522569132986084, + "fos_yielding": 1.7420279202945919, + "deflection": 0.004660994811273639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.209)" + }, + "parent_node_id": "node_2823", + "improvement_over_parent": null + }, + "node_2825": { + "node_id": "node_2825", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.10 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0988164358571, + "fos_buckling": 1.5223145091961792, + "fos_yielding": 2.011414964959475, + "deflection": 0.004042410475596859, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_2824", + "improvement_over_parent": null + }, + "node_2826": { + "node_id": "node_2826", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 408)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0025)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 156.17 kg\n Factor of Safety: 0.26\n Max Deflection: 3.25e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.16623516071746, + "fos_buckling": 0.26168990658105823, + "fos_yielding": 0.9083568925401585, + "deflection": 32544235719239.664, + "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 all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 177.23 kg\n Factor of Safety: 0.49\n Max Deflection: 1.04e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.23143119176152, + "fos_buckling": 0.4937204638081375, + "fos_yielding": 1.1253073712763755, + "deflection": 10431087547984.021, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.145)" + }, + "parent_node_id": "node_2827", + "improvement_over_parent": null + }, + "node_2829": { + "node_id": "node_2829", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 213.14 kg\n Factor of Safety: 0.87\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": 213.14152806509716, + "fos_buckling": 0.8654164916795238, + "fos_yielding": 1.6623028996035625, + "deflection": 0.006007178010503277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005043)" + }, + "parent_node_id": "node_2828", + "improvement_over_parent": null + }, + "node_2830": { + "node_id": "node_2830", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 256.36 kg\n Factor of Safety: 1.01\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": 256.3641525466958, + "fos_buckling": 1.006915586833938, + "fos_yielding": 1.9962523558573746, + "deflection": 0.005010268248578881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_2829", + "improvement_over_parent": null + }, + "node_2831": { + "node_id": "node_2831", + "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0080)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 270.41 kg\n Factor of Safety: 1.01\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": 270.4109552061537, + "fos_buckling": 1.0059469152298075, + "fos_yielding": 1.9698333673681407, + "deflection": 0.004922717519024072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.527)" + }, + "parent_node_id": "node_2830", + "improvement_over_parent": null + }, + "node_2832": { + "node_id": "node_2832", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0080)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 296.31 kg\n Factor of Safety: 1.43\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 296.30839234854346, + "fos_buckling": 1.4345959311255503, + "fos_yielding": 1.9830403201033884, + "deflection": 0.004076946777311996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2831", + "improvement_over_parent": null + }, + "node_2833": { + "node_id": "node_2833", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2832", + "improvement_over_parent": null + }, + "node_2834": { + "node_id": "node_2834", + "content": "INITIAL DESIGN (Trace 409)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0022)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0009)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0020)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0024)]\n\nPerformance:\n Mass: 87.95 kg\n Factor of Safety: 0.28\n Max Deflection: 7.42e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 87.95134981587384, + "fos_buckling": 0.28181695087142833, + "fos_yielding": 0.6636531010842038, + "deflection": 74191192052211.02, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2835": { + "node_id": "node_2835", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0011)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0029)]\n\nPerformance:\n Mass: 104.42 kg\n Factor of Safety: 0.26\n Max Deflection: 2.09e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 104.42177685199664, + "fos_buckling": 0.2617240050543241, + "fos_yielding": 0.5626536856381877, + "deflection": 20925391891790.234, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_2834", + "improvement_over_parent": null + }, + "node_2836": { + "node_id": "node_2836", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 136.56 kg\n Factor of Safety: 0.51\n Max Deflection: 1.55e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.5641352421497, + "fos_buckling": 0.5105090262911445, + "fos_yielding": 1.1253073712763755, + "deflection": 15524120565683.547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_2835", + "improvement_over_parent": null + }, + "node_2837": { + "node_id": "node_2837", + "content": "MODIFICATION: Increase 4 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 138.20 kg\n Factor of Safety: 0.51\n Max Deflection: 1.55e+13 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.20421970468405, + "fos_buckling": 0.5105090262911445, + "fos_yielding": 1.1253073712763755, + "deflection": 15524120565683.547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.608)" + }, + "parent_node_id": "node_2836", + "improvement_over_parent": null + }, + "node_2838": { + "node_id": "node_2838", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 173.47 kg\n Factor of Safety: 0.99\n Max Deflection: 7.85e+12 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.4660753069432, + "fos_buckling": 0.9929557195641102, + "fos_yielding": 1.8153811184773034, + "deflection": 7845518393572.5625, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.274)" + }, + "parent_node_id": "node_2837", + "improvement_over_parent": null + }, + "node_2839": { + "node_id": "node_2839", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 217.08 kg\n Factor of Safety: 0.46\n Max Deflection: 1.68e+13 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.07524876777293, + "fos_buckling": 0.4647327164882809, + "fos_yielding": 1.198200074312941, + "deflection": 16837809678740.293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2838", + "improvement_over_parent": null + }, + "node_2840": { + "node_id": "node_2840", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 260.27 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.27330670522514, + "fos_buckling": 1.0071890115631725, + "fos_yielding": 1.9982127680992066, + "deflection": 0.0050077139252452055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2839", + "improvement_over_parent": null + }, + "node_2841": { + "node_id": "node_2841", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.18584333684214, + "fos_buckling": 1.5226113465720372, + "fos_yielding": 2.0119995272232893, + "deflection": 0.004041251472780624, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2840", + "improvement_over_parent": null + }, + "node_2842": { + "node_id": "node_2842", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2841", + "improvement_over_parent": null + }, + "node_2843": { + "node_id": "node_2843", + "content": "INITIAL DESIGN (Trace 410)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 151.63 kg\n Factor of Safety: 0.63\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 151.62862745447416, + "fos_buckling": 0.6257826170825014, + "fos_yielding": 1.1479472679905154, + "deflection": 0.008681718140542753, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2844": { + "node_id": "node_2844", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 177.81 kg\n Factor of Safety: 0.72\n Max Deflection: 7.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.80919017915915, + "fos_buckling": 0.7203848868932957, + "fos_yielding": 1.345213969925385, + "deflection": 0.007415976233882638, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_2843", + "improvement_over_parent": null + }, + "node_2845": { + "node_id": "node_2845", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 204.54 kg\n Factor of Safety: 0.81\n Max Deflection: 6.46e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.54241439587219, + "fos_buckling": 0.8129555321174462, + "fos_yielding": 1.5463571292684881, + "deflection": 0.006457880777665494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.161)" + }, + "parent_node_id": "node_2844", + "improvement_over_parent": null + }, + "node_2846": { + "node_id": "node_2846", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 264.77 kg\n Factor of Safety: 1.01\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": 264.77299465636986, + "fos_buckling": 1.0067180827634916, + "fos_yielding": 1.9984660970025379, + "deflection": 0.005008304015052899, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_2845", + "improvement_over_parent": null + }, + "node_2847": { + "node_id": "node_2847", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 290.67 kg\n Factor of Safety: 1.17\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": 290.67043179875964, + "fos_buckling": 1.1651269626181318, + "fos_yielding": 1.8995977131983741, + "deflection": 0.0041190589456465265, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2846", + "improvement_over_parent": null + }, + "node_2848": { + "node_id": "node_2848", + "content": "MODIFICATION: Increase 4 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0054)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.47 kg\n Factor of Safety: 1.15\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": 293.4729115885352, + "fos_buckling": 1.1544841286388137, + "fos_yielding": 1.8822458676590408, + "deflection": 0.004055695719924304, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.631)" + }, + "parent_node_id": "node_2847", + "improvement_over_parent": null + }, + "node_2849": { + "node_id": "node_2849", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2848", + "improvement_over_parent": null + }, + "node_2850": { + "node_id": "node_2850", + "content": "INITIAL DESIGN (Trace 411)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 256.98 kg\n Factor of Safety: 1.01\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.9827538567754, + "fos_buckling": 1.0077313177099352, + "fos_yielding": 2.2657141892111756, + "deflection": 0.00611925309305073, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2851": { + "node_id": "node_2851", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 282.88 kg\n Factor of Safety: 1.04\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": 282.88019099916517, + "fos_buckling": 1.041963721009583, + "fos_yielding": 2.3133402323894905, + "deflection": 0.006114563865905389, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2850", + "improvement_over_parent": null + }, + "node_2852": { + "node_id": "node_2852", + "content": "MODIFICATION: Increase 0 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 288.00 kg\n Factor of Safety: 1.04\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": 288.0022917750056, + "fos_buckling": 1.0366600924318385, + "fos_yielding": 2.2959288957560133, + "deflection": 0.005879644850069726, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.195)" + }, + "parent_node_id": "node_2851", + "improvement_over_parent": null + }, + "node_2853": { + "node_id": "node_2853", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.21612180881965, + "fos_buckling": 1.5228787375766202, + "fos_yielding": 2.0124438961893722, + "deflection": 0.004040855834877491, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2852", + "improvement_over_parent": null + }, + "node_2854": { + "node_id": "node_2854", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2853", + "improvement_over_parent": null + }, + "node_2855": { + "node_id": "node_2855", + "content": "INITIAL DESIGN (Trace 412)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 214.68 kg\n Factor of Safety: 0.51\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": 214.68432681259048, + "fos_buckling": 0.5134050257519946, + "fos_yielding": 1.7924630605243745, + "deflection": 0.007205243669243255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2856": { + "node_id": "node_2856", + "content": "MODIFICATION: Increase 7 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 221.63 kg\n Factor of Safety: 0.67\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": 221.62939935459357, + "fos_buckling": 0.6729157037313364, + "fos_yielding": 1.8142113133623847, + "deflection": 0.006312612498061998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.366)" + }, + "parent_node_id": "node_2855", + "improvement_over_parent": null + }, + "node_2857": { + "node_id": "node_2857", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 244.33 kg\n Factor of Safety: 0.73\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.3277795519079, + "fos_buckling": 0.7344845104821859, + "fos_yielding": 1.9979694008933044, + "deflection": 0.005729504578216368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_2856", + "improvement_over_parent": null + }, + "node_2858": { + "node_id": "node_2858", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 277.24 kg\n Factor of Safety: 1.13\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": 277.2403161835249, + "fos_buckling": 1.126908099070158, + "fos_yielding": 1.8406438845666009, + "deflection": 0.004403279111566407, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2857", + "improvement_over_parent": null + }, + "node_2859": { + "node_id": "node_2859", + "content": "MODIFICATION: Increase 4 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 279.73 kg\n Factor of Safety: 1.22\n Max Deflection: 4.31e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.7308259074865, + "fos_buckling": 1.2181916062715097, + "fos_yielding": 2.014202545100775, + "deflection": 0.004313214807704471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.600)" + }, + "parent_node_id": "node_2858", + "improvement_over_parent": null + }, + "node_2860": { + "node_id": "node_2860", + "content": "MODIFICATION: Increase 7 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.12822536070746, + "fos_buckling": 1.5223001196024266, + "fos_yielding": 2.0114755976851946, + "deflection": 0.004042095576373443, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.493)" + }, + "parent_node_id": "node_2859", + "improvement_over_parent": null + }, + "node_2861": { + "node_id": "node_2861", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2860", + "improvement_over_parent": null + }, + "node_2862": { + "node_id": "node_2862", + "content": "INITIAL DESIGN (Trace 413)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 151.52 kg\n Factor of Safety: 0.85\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": 151.52066264813385, + "fos_buckling": 0.84763725641647, + "fos_yielding": 1.093840157602794, + "deflection": 0.007677133321478569, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2863": { + "node_id": "node_2863", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 194.69 kg\n Factor of Safety: 1.06\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": 194.69288567223515, + "fos_buckling": 1.0592142996276221, + "fos_yielding": 1.4035504472364009, + "deflection": 0.005990288183877062, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.302)" + }, + "parent_node_id": "node_2862", + "improvement_over_parent": null + }, + "node_2864": { + "node_id": "node_2864", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 248.22 kg\n Factor of Safety: 1.30\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": 248.22032161275973, + "fos_buckling": 1.3034076815058124, + "fos_yielding": 1.7862728964317676, + "deflection": 0.004713633068416316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.297)" + }, + "parent_node_id": "node_2863", + "improvement_over_parent": null + }, + "node_2865": { + "node_id": "node_2865", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 283.78 kg\n Factor of Safety: 1.45\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": 283.78278091881475, + "fos_buckling": 1.4546459838362904, + "fos_yielding": 2.039736037765481, + "deflection": 0.004131741730255449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.157)" + }, + "parent_node_id": "node_2864", + "improvement_over_parent": null + }, + "node_2866": { + "node_id": "node_2866", + "content": "MODIFICATION: Increase 9 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.08 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0834641212895, + "fos_buckling": 1.5222820175812515, + "fos_yielding": 2.011539921380828, + "deflection": 0.004042583838021338, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.471)" + }, + "parent_node_id": "node_2865", + "improvement_over_parent": null + }, + "node_2867": { + "node_id": "node_2867", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2866", + "improvement_over_parent": null + }, + "node_2868": { + "node_id": "node_2868", + "content": "INITIAL DESIGN (Trace 414)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 187.42 kg\n Factor of Safety: 0.64\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": 187.42196311225914, + "fos_buckling": 0.635445165027109, + "fos_yielding": 1.6207086747295192, + "deflection": 0.008995955087001496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2869": { + "node_id": "node_2869", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 191.05 kg\n Factor of Safety: 0.97\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.05053462171864, + "fos_buckling": 0.9675286711517337, + "fos_yielding": 1.424199843588965, + "deflection": 0.006145948505010244, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002235)" + }, + "parent_node_id": "node_2868", + "improvement_over_parent": null + }, + "node_2870": { + "node_id": "node_2870", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 196.97 kg\n Factor of Safety: 1.00\n Max Deflection: 6.05e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.97209490537168, + "fos_buckling": 1.001765172566752, + "fos_yielding": 1.4246919030659377, + "deflection": 0.006046645225114253, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.280)" + }, + "parent_node_id": "node_2869", + "improvement_over_parent": null + }, + "node_2871": { + "node_id": "node_2871", + "content": "MODIFICATION: Increase 9 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 210.52 kg\n Factor of Safety: 1.00\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": 210.51807616404872, + "fos_buckling": 1.0047489347701932, + "fos_yielding": 1.4495261292952495, + "deflection": 0.005684689698165023, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.479)" + }, + "parent_node_id": "node_2870", + "improvement_over_parent": null + }, + "node_2872": { + "node_id": "node_2872", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0053)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0071)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 237.39 kg\n Factor of Safety: 1.12\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": 237.39455079862694, + "fos_buckling": 1.1196525528465608, + "fos_yielding": 1.6346579999288777, + "deflection": 0.005046795832454295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_2871", + "improvement_over_parent": null + }, + "node_2873": { + "node_id": "node_2873", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0069)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0093)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 301.62 kg\n Factor of Safety: 1.38\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": 301.6178629846415, + "fos_buckling": 1.3818635555472112, + "fos_yielding": 2.077271333697306, + "deflection": 0.003982671188448556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_2872", + "improvement_over_parent": null + }, + "node_2874": { + "node_id": "node_2874", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2873", + "improvement_over_parent": null + }, + "node_2875": { + "node_id": "node_2875", + "content": "INITIAL DESIGN (Trace 415)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 141.11 kg\n Factor of Safety: 0.47\n Max Deflection: 3.43e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.10865490063787, + "fos_buckling": 0.46912139391644375, + "fos_yielding": 1.5421375027931996, + "deflection": 34318846231178.875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2876": { + "node_id": "node_2876", + "content": "MODIFICATION: Increase 4 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 141.69 kg\n Factor of Safety: 0.47\n Max Deflection: 3.43e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.6863233608865, + "fos_buckling": 0.46912139391644375, + "fos_yielding": 1.5421375027931996, + "deflection": 34318846231178.875, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.183)" + }, + "parent_node_id": "node_2875", + "improvement_over_parent": null + }, + "node_2877": { + "node_id": "node_2877", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 180.24 kg\n Factor of Safety: 0.07\n Max Deflection: 7.06e+14 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.23872434783954, + "fos_buckling": 0.0712431837604633, + "fos_yielding": 0.09678731732691195, + "deflection": 705587070175615.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2876", + "improvement_over_parent": null + }, + "node_2878": { + "node_id": "node_2878", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 181.35 kg\n Factor of Safety: 0.07\n Max Deflection: 7.06e+14 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3489093164348, + "fos_buckling": 0.0712431837604633, + "fos_yielding": 0.09678731732691195, + "deflection": 705587070175615.4, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.242)" + }, + "parent_node_id": "node_2877", + "improvement_over_parent": null + }, + "node_2879": { + "node_id": "node_2879", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 219.75 kg\n Factor of Safety: 0.89\n Max Deflection: 6.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.75199679662745, + "fos_buckling": 0.8919180118350613, + "fos_yielding": 1.9578702413803144, + "deflection": 0.006818946442565072, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005324)" + }, + "parent_node_id": "node_2878", + "improvement_over_parent": null + }, + "node_2880": { + "node_id": "node_2880", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n\nPerformance:\n Mass: 224.24 kg\n Factor of Safety: 0.89\n Max Deflection: 5.80e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.24403103516227, + "fos_buckling": 0.891367545281223, + "fos_yielding": 1.7232083108485483, + "deflection": 0.00579948465279352, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002810)" + }, + "parent_node_id": "node_2879", + "improvement_over_parent": null + }, + "node_2881": { + "node_id": "node_2881", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 252.60 kg\n Factor of Safety: 1.35\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": 252.5980503538051, + "fos_buckling": 1.3477340668084725, + "fos_yielding": 1.735171404403355, + "deflection": 0.0046795953221781105, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004575)" + }, + "parent_node_id": "node_2880", + "improvement_over_parent": null + }, + "node_2882": { + "node_id": "node_2882", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0704863295829, + "fos_buckling": 1.5222119334839745, + "fos_yielding": 2.0113538797907453, + "deflection": 0.004042828032311281, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.176)" + }, + "parent_node_id": "node_2881", + "improvement_over_parent": null + }, + "node_2883": { + "node_id": "node_2883", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2882", + "improvement_over_parent": null + }, + "node_2884": { + "node_id": "node_2884", + "content": "INITIAL DESIGN (Trace 416)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\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_2885": { + "node_id": "node_2885", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 178.14 kg\n Factor of Safety: 0.76\n Max Deflection: 7.31e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.14473506588448, + "fos_buckling": 0.7605443865176491, + "fos_yielding": 1.4026260930472598, + "deflection": 0.007310559750766918, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003483)" + }, + "parent_node_id": "node_2884", + "improvement_over_parent": null + }, + "node_2886": { + "node_id": "node_2886", + "content": "MODIFICATION: Increase 1 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 185.91 kg\n Factor of Safety: 0.76\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": 185.9142494238732, + "fos_buckling": 0.7601374332551064, + "fos_yielding": 1.4300997041596082, + "deflection": 0.0069783470977431645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.479)" + }, + "parent_node_id": "node_2885", + "improvement_over_parent": null + }, + "node_2887": { + "node_id": "node_2887", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n\nPerformance:\n Mass: 236.23 kg\n Factor of Safety: 0.93\n Max Deflection: 5.51e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.2254074004012, + "fos_buckling": 0.9307455552063896, + "fos_yielding": 1.8148913610927697, + "deflection": 0.005509293532890729, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_2886", + "improvement_over_parent": null + }, + "node_2888": { + "node_id": "node_2888", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 266.08 kg\n Factor of Safety: 1.41\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.0780028933598, + "fos_buckling": 1.407499457004111, + "fos_yielding": 1.8274609301217517, + "deflection": 0.004445953599885984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004838)" + }, + "parent_node_id": "node_2887", + "improvement_over_parent": null + }, + "node_2889": { + "node_id": "node_2889", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1945025171668, + "fos_buckling": 1.523153328857158, + "fos_yielding": 2.012468162935126, + "deflection": 0.004041109585302836, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_2888", + "improvement_over_parent": null + }, + "node_2890": { + "node_id": "node_2890", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 417)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n\nPerformance:\n Mass: 160.45 kg\n Factor of Safety: 0.34\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": 160.44538271811717, + "fos_buckling": 0.33930952617775495, + "fos_yielding": 1.146011065898357, + "deflection": 0.012507002765330538, + "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: Increase 7 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n\nPerformance:\n Mass: 166.66 kg\n Factor of Safety: 0.34\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": 166.65934891432317, + "fos_buckling": 0.3391641237481271, + "fos_yielding": 1.1458585481617645, + "deflection": 0.012290396491753206, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.263)" + }, + "parent_node_id": "node_2891", + "improvement_over_parent": null + }, + "node_2893": { + "node_id": "node_2893", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n\nPerformance:\n Mass: 201.48 kg\n Factor of Safety: 0.40\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": 201.48345447360035, + "fos_buckling": 0.40099967132267883, + "fos_yielding": 1.3824290785883695, + "deflection": 0.010171295486367566, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.225)" + }, + "parent_node_id": "node_2892", + "improvement_over_parent": null + }, + "node_2894": { + "node_id": "node_2894", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 229.74 kg\n Factor of Safety: 0.45\n Max Deflection: 8.92e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.74194424214545, + "fos_buckling": 0.4488940949896223, + "fos_yielding": 1.5736063402455092, + "deflection": 0.008923348306985433, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.153)" + }, + "parent_node_id": "node_2893", + "improvement_over_parent": null + }, + "node_2895": { + "node_id": "node_2895", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 235.75 kg\n Factor of Safety: 0.45\n Max Deflection: 8.79e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.74876389825218, + "fos_buckling": 0.44870898621469163, + "fos_yielding": 1.573404307868681, + "deflection": 0.008793362809840732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.236)" + }, + "parent_node_id": "node_2894", + "improvement_over_parent": null + }, + "node_2896": { + "node_id": "node_2896", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 280.33 kg\n Factor of Safety: 1.44\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.3306950661981, + "fos_buckling": 1.4377310606736797, + "fos_yielding": 2.048027481907178, + "deflection": 0.004154905823515483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_2895", + "improvement_over_parent": null + }, + "node_2897": { + "node_id": "node_2897", + "content": "MODIFICATION: Increase 9 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 289.12 kg\n Factor of Safety: 1.49\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.12281998936, + "fos_buckling": 1.493293003701713, + "fos_yielding": 2.0237349728907774, + "deflection": 0.004079463375892427, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.435)" + }, + "parent_node_id": "node_2896", + "improvement_over_parent": null + }, + "node_2898": { + "node_id": "node_2898", + "content": "MODIFICATION: Increase 3 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.144042076919, + "fos_buckling": 1.5227597352165134, + "fos_yielding": 2.011849193443242, + "deflection": 0.004041733630260646, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.217)" + }, + "parent_node_id": "node_2897", + "improvement_over_parent": null + }, + "node_2899": { + "node_id": "node_2899", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2898", + "improvement_over_parent": null + }, + "node_2900": { + "node_id": "node_2900", + "content": "INITIAL DESIGN (Trace 418)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 229.17 kg\n Factor of Safety: 0.86\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": 229.16896042262502, + "fos_buckling": 0.8562818903649945, + "fos_yielding": 1.8349971996167231, + "deflection": 0.00733820137367822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2901": { + "node_id": "node_2901", + "content": "MODIFICATION: Increase 4 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 230.33 kg\n Factor of Safety: 0.86\n Max Deflection: 7.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.33129951805608, + "fos_buckling": 0.8606321212440626, + "fos_yielding": 1.8391163899799416, + "deflection": 0.007337625968646285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.279)" + }, + "parent_node_id": "node_2900", + "improvement_over_parent": null + }, + "node_2902": { + "node_id": "node_2902", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 288.23 kg\n Factor of Safety: 1.04\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.22989331011615, + "fos_buckling": 1.037276498790483, + "fos_yielding": 2.2976357696318743, + "deflection": 0.005874931008143676, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.276)" + }, + "parent_node_id": "node_2901", + "improvement_over_parent": null + }, + "node_2903": { + "node_id": "node_2903", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.44 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.44372334393023, + "fos_buckling": 1.5237566649251657, + "fos_yielding": 2.0139788007158232, + "deflection": 0.004037839556924887, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2902", + "improvement_over_parent": null + }, + "node_2904": { + "node_id": "node_2904", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2903", + "improvement_over_parent": null + }, + "node_2905": { + "node_id": "node_2905", + "content": "INITIAL DESIGN (Trace 419)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 181.36 kg\n Factor of Safety: 0.45\n Max Deflection: 9.88e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.35576037105258, + "fos_buckling": 0.4499498218336302, + "fos_yielding": 1.3836610760408705, + "deflection": 0.009878948640161382, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2906": { + "node_id": "node_2906", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 212.92 kg\n Factor of Safety: 0.52\n Max Deflection: 8.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.91679407393514, + "fos_buckling": 0.515728391095931, + "fos_yielding": 1.6216827665460491, + "deflection": 0.008429951425350276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_2905", + "improvement_over_parent": null + }, + "node_2907": { + "node_id": "node_2907", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n\nPerformance:\n Mass: 249.69 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": 249.68972144496976, + "fos_buckling": 1.3348334020091064, + "fos_yielding": 1.7154128472495365, + "deflection": 0.0047332987348612755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005174)" + }, + "parent_node_id": "node_2906", + "improvement_over_parent": null + }, + "node_2908": { + "node_id": "node_2908", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.33 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3329566462264, + "fos_buckling": 1.5233858587140323, + "fos_yielding": 2.013267004260449, + "deflection": 0.004039268236528451, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.192)" + }, + "parent_node_id": "node_2907", + "improvement_over_parent": null + }, + "node_2909": { + "node_id": "node_2909", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 420)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 129.09 kg\n Factor of Safety: 0.43\n Max Deflection: 1.35e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.0855132641334, + "fos_buckling": 0.4296887967146782, + "fos_yielding": 1.0895579069992283, + "deflection": 0.013456790154620504, + "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 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n\nPerformance:\n Mass: 131.52 kg\n Factor of Safety: 0.60\n Max Deflection: 9.10e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.52403912420317, + "fos_buckling": 0.5983010983292834, + "fos_yielding": 0.9259076346649528, + "deflection": 0.009104875009978291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001472)" + }, + "parent_node_id": "node_2910", + "improvement_over_parent": null + }, + "node_2912": { + "node_id": "node_2912", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0013)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n\nPerformance:\n Mass: 151.03 kg\n Factor of Safety: 0.68\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": 151.0339154876051, + "fos_buckling": 0.6824120655474877, + "fos_yielding": 1.0642648583882974, + "deflection": 0.007936455533209201, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.155)" + }, + "parent_node_id": "node_2911", + "improvement_over_parent": null + }, + "node_2913": { + "node_id": "node_2913", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n\nPerformance:\n Mass: 180.81 kg\n Factor of Safety: 0.81\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.80816102789424, + "fos_buckling": 0.8084621756903033, + "fos_yielding": 1.2760265099900394, + "deflection": 0.006639313617947096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2912", + "improvement_over_parent": null + }, + "node_2914": { + "node_id": "node_2914", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 233.15 kg\n Factor of Safety: 1.02\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": 233.15419803405123, + "fos_buckling": 1.0232891413177942, + "fos_yielding": 1.65033536682826, + "deflection": 0.005161925780317617, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_2913", + "improvement_over_parent": null + }, + "node_2915": { + "node_id": "node_2915", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 240.68 kg\n Factor of Safety: 1.01\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 240.6785743966774, + "fos_buckling": 1.0051729733917956, + "fos_yielding": 1.6211180601722226, + "deflection": 0.005080261972784188, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.305)" + }, + "parent_node_id": "node_2914", + "improvement_over_parent": null + }, + "node_2916": { + "node_id": "node_2916", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0057)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 242.49 kg\n Factor of Safety: 1.16\n Max Deflection: 4.99e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 242.4933189341049, + "fos_buckling": 1.1555048491170046, + "fos_yielding": 1.6710369975340467, + "deflection": 0.004989151547278431, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.486)" + }, + "parent_node_id": "node_2915", + "improvement_over_parent": null + }, + "node_2917": { + "node_id": "node_2917", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0070)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 292.96 kg\n Factor of Safety: 1.36\n Max Deflection: 4.14e-03 m\n Status: INFEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.9565578437716, + "fos_buckling": 1.3628300923199623, + "fos_yielding": 2.0170993776837007, + "deflection": 0.004139064319875751, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_2916", + "improvement_over_parent": null + }, + "node_2918": { + "node_id": "node_2918", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2917", + "improvement_over_parent": null + }, + "node_2919": { + "node_id": "node_2919", + "content": "INITIAL DESIGN (Trace 421)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 171.18 kg\n Factor of Safety: 0.23\n Max Deflection: 3.22e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.18408150440257, + "fos_buckling": 0.2324084421123359, + "fos_yielding": 0.7020304314090497, + "deflection": 32238500698643.42, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2920": { + "node_id": "node_2920", + "content": "MODIFICATION: Increase 5 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 172.56 kg\n Factor of Safety: 0.14\n Max Deflection: 4.31e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.55899339111795, + "fos_buckling": 0.13890932154389887, + "fos_yielding": 0.4838943878501439, + "deflection": 43083682234679.32, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.393)" + }, + "parent_node_id": "node_2919", + "improvement_over_parent": null + }, + "node_2921": { + "node_id": "node_2921", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 208.29 kg\n Factor of Safety: 0.86\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": 208.29081444650058, + "fos_buckling": 0.8621479398720746, + "fos_yielding": 2.288809712542951, + "deflection": 0.006704339964741275, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005016)" + }, + "parent_node_id": "node_2920", + "improvement_over_parent": null + }, + "node_2922": { + "node_id": "node_2922", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 216.71 kg\n Factor of Safety: 0.86\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.70775322533717, + "fos_buckling": 0.8616491212257239, + "fos_yielding": 2.288809712542951, + "deflection": 0.006252456855483805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.361)" + }, + "parent_node_id": "node_2921", + "improvement_over_parent": null + }, + "node_2923": { + "node_id": "node_2923", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 249.62 kg\n Factor of Safety: 1.07\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.62028985695417, + "fos_buckling": 1.0735175464384725, + "fos_yielding": 2.288809712542951, + "deflection": 0.004973226997398567, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2922", + "improvement_over_parent": null + }, + "node_2924": { + "node_id": "node_2924", + "content": "MODIFICATION: Increase 7 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0077)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 258.73 kg\n Factor of Safety: 1.24\n Max Deflection: 4.71e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.72721649746404, + "fos_buckling": 1.2444159735861036, + "fos_yielding": 2.288809712542951, + "deflection": 0.0047106740516072495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.230)" + }, + "parent_node_id": "node_2923", + "improvement_over_parent": null + }, + "node_2925": { + "node_id": "node_2925", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0077)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 263.92 kg\n Factor of Safety: 1.24\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": 263.92009337386395, + "fos_buckling": 1.2439732087102648, + "fos_yielding": 2.2880711023039924, + "deflection": 0.004712311453483177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.297)" + }, + "parent_node_id": "node_2924", + "improvement_over_parent": null + }, + "node_2926": { + "node_id": "node_2926", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0077)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 294.90 kg\n Factor of Safety: 1.36\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": 294.89863942294033, + "fos_buckling": 1.3615177205000506, + "fos_yielding": 2.034004934528362, + "deflection": 0.004049410612353533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2925", + "improvement_over_parent": null + }, + "node_2927": { + "node_id": "node_2927", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 422)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 128.53 kg\n Factor of Safety: 0.00\n Max Deflection: 5.98e+15 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.53359814010733, + "fos_buckling": 0.0019822945923437282, + "fos_yielding": 0.0068570390799356975, + "deflection": 5982271154372338.0, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2929": { + "node_id": "node_2929", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n\nPerformance:\n Mass: 142.45 kg\n Factor of Safety: 0.06\n Max Deflection: 1.39e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.44564267019103, + "fos_buckling": 0.06299618221617005, + "fos_yielding": 0.14066342140954693, + "deflection": 139169430221892.45, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002229)" + }, + "parent_node_id": "node_2928", + "improvement_over_parent": null + }, + "node_2930": { + "node_id": "node_2930", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n\nPerformance:\n Mass: 165.88 kg\n Factor of Safety: 0.44\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": 165.8822631959455, + "fos_buckling": 0.44327403258652615, + "fos_yielding": 1.3594797630806275, + "deflection": 0.010232105818579895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003729)" + }, + "parent_node_id": "node_2929", + "improvement_over_parent": null + }, + "node_2931": { + "node_id": "node_2931", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 209.18 kg\n Factor of Safety: 0.54\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": 209.18429151119878, + "fos_buckling": 0.5392105216219597, + "fos_yielding": 1.7086337754673235, + "deflection": 0.008140083875156572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_2930", + "improvement_over_parent": null + }, + "node_2932": { + "node_id": "node_2932", + "content": "MODIFICATION: Increase 3 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 214.20 kg\n Factor of Safety: 0.54\n Max Deflection: 8.11e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.20467178918855, + "fos_buckling": 0.5390244242618173, + "fos_yielding": 1.708320114273247, + "deflection": 0.008105416242675294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.323)" + }, + "parent_node_id": "node_2931", + "improvement_over_parent": null + }, + "node_2933": { + "node_id": "node_2933", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 238.65 kg\n Factor of Safety: 0.59\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 238.65205523926033, + "fos_buckling": 0.5885532619783919, + "fos_yielding": 1.9001072433111066, + "deflection": 0.007287019495254039, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_2932", + "improvement_over_parent": null + }, + "node_2934": { + "node_id": "node_2934", + "content": "MODIFICATION: Increase 8 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 249.87 kg\n Factor of Safety: 0.59\n Max Deflection: 7.20e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.86936550875603, + "fos_buckling": 0.588100476882075, + "fos_yielding": 1.8993292390577337, + "deflection": 0.007198795113113489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.623)" + }, + "parent_node_id": "node_2933", + "improvement_over_parent": null + }, + "node_2935": { + "node_id": "node_2935", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.06742344620824, + "fos_buckling": 1.522136982242545, + "fos_yielding": 2.011140951559934, + "deflection": 0.004042792536564951, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_2934", + "improvement_over_parent": null + }, + "node_2936": { + "node_id": "node_2936", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2935", + "improvement_over_parent": null + }, + "node_2937": { + "node_id": "node_2937", + "content": "INITIAL DESIGN (Trace 423)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 197.45 kg\n Factor of Safety: 0.86\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.4462445714326, + "fos_buckling": 0.8573122503782347, + "fos_yielding": 1.7468615202005133, + "deflection": 0.00648324602996891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2938": { + "node_id": "node_2938", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 224.69 kg\n Factor of Safety: 0.96\n Max Deflection: 5.71e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.69126253059727, + "fos_buckling": 0.9558874345112982, + "fos_yielding": 1.9867856098243388, + "deflection": 0.005707289789882932, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_2937", + "improvement_over_parent": null + }, + "node_2939": { + "node_id": "node_2939", + "content": "MODIFICATION: Increase 7 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 233.47 kg\n Factor of Safety: 0.96\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": 233.4676254432279, + "fos_buckling": 0.95531148864278, + "fos_yielding": 1.9867856098243388, + "deflection": 0.005575879299623297, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.479)" + }, + "parent_node_id": "node_2938", + "improvement_over_parent": null + }, + "node_2940": { + "node_id": "node_2940", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n\nPerformance:\n Mass: 254.66 kg\n Factor of Safety: 1.36\n Max Deflection: 4.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.65951664197883, + "fos_buckling": 1.3569246394628196, + "fos_yielding": 1.7490535316298133, + "deflection": 0.004642428163198488, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004173)" + }, + "parent_node_id": "node_2939", + "improvement_over_parent": null + }, + "node_2941": { + "node_id": "node_2941", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.14 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1403650713173, + "fos_buckling": 1.5225421759916802, + "fos_yielding": 2.011606309511768, + "deflection": 0.004042016542721299, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_2940", + "improvement_over_parent": null + }, + "node_2942": { + "node_id": "node_2942", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2941", + "improvement_over_parent": null + }, + "node_2943": { + "node_id": "node_2943", + "content": "INITIAL DESIGN (Trace 424)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 230.98 kg\n Factor of Safety: 0.78\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": 230.9782560448875, + "fos_buckling": 0.7849905104533763, + "fos_yielding": 2.270067190638536, + "deflection": 0.0068548176821058284, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2944": { + "node_id": "node_2944", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 236.19 kg\n Factor of Safety: 0.78\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": 236.1920860787016, + "fos_buckling": 0.7844285875922021, + "fos_yielding": 1.9812599699465185, + "deflection": 0.005774519214201728, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2943", + "improvement_over_parent": null + }, + "node_2945": { + "node_id": "node_2945", + "content": "MODIFICATION: Increase 3 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 239.56 kg\n Factor of Safety: 0.78\n Max Deflection: 5.73e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.55700806173206, + "fos_buckling": 0.7842474312539315, + "fos_yielding": 1.9708889812753367, + "deflection": 0.00573277249124219, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.176)" + }, + "parent_node_id": "node_2944", + "improvement_over_parent": null + }, + "node_2946": { + "node_id": "node_2946", + "content": "MODIFICATION: Increase 7 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0072)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 249.83 kg\n Factor of Safety: 0.78\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.82658570708819, + "fos_buckling": 0.7836950679507408, + "fos_yielding": 1.9498891349952656, + "deflection": 0.005650003529511276, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.379)" + }, + "parent_node_id": "node_2945", + "improvement_over_parent": null + }, + "node_2947": { + "node_id": "node_2947", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0072)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0043)]\n\nPerformance:\n Mass: 251.22 kg\n Factor of Safety: 0.78\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": 251.22371564341827, + "fos_buckling": 0.783544909486494, + "fos_yielding": 1.9466464455159638, + "deflection": 0.0056368901724774415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.304)" + }, + "parent_node_id": "node_2946", + "improvement_over_parent": null + }, + "node_2948": { + "node_id": "node_2948", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0072)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0043)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 284.14 kg\n Factor of Safety: 1.28\n Max Deflection: 4.31e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.1362522750353, + "fos_buckling": 1.2829326709921647, + "fos_yielding": 1.95862801206162, + "deflection": 0.004309305358391401, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_2947", + "improvement_over_parent": null + }, + "node_2949": { + "node_id": "node_2949", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2948", + "improvement_over_parent": null + }, + "node_2950": { + "node_id": "node_2950", + "content": "INITIAL DESIGN (Trace 425)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 143.23 kg\n Factor of Safety: 0.25\n Max Deflection: 1.48e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 143.22859341320606, + "fos_buckling": 0.2518627898059585, + "fos_yielding": 0.41494091669412436, + "deflection": 148214681500892.3, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2951": { + "node_id": "node_2951", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n\nPerformance:\n Mass: 146.86 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": 146.85869148684606, + "fos_buckling": 0.3856445676966414, + "fos_yielding": 1.0982010918904002, + "deflection": 0.0129176691888075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002236)" + }, + "parent_node_id": "node_2950", + "improvement_over_parent": null + }, + "node_2952": { + "node_id": "node_2952", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 177.44 kg\n Factor of Safety: 0.45\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": 177.44478298350435, + "fos_buckling": 0.45329931800932066, + "fos_yielding": 1.3248576327069845, + "deflection": 0.010703265127952657, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_2951", + "improvement_over_parent": null + }, + "node_2953": { + "node_id": "node_2953", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 214.93 kg\n Factor of Safety: 0.87\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.9330432009446, + "fos_buckling": 0.8737462498741614, + "fos_yielding": 1.6822028932919129, + "deflection": 0.006806565570276634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005187)" + }, + "parent_node_id": "node_2952", + "improvement_over_parent": null + }, + "node_2954": { + "node_id": "node_2954", + "content": "MODIFICATION: Increase 0 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 224.78 kg\n Factor of Safety: 0.87\n Max Deflection: 5.94e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.7839333509038, + "fos_buckling": 0.8731550008449616, + "fos_yielding": 1.681985029022781, + "deflection": 0.00594092069994677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.567)" + }, + "parent_node_id": "node_2953", + "improvement_over_parent": null + }, + "node_2955": { + "node_id": "node_2955", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.35 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.35353588383407, + "fos_buckling": 1.0067111939705022, + "fos_yielding": 1.9984627267200927, + "deflection": 0.005008080991830227, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.208)" + }, + "parent_node_id": "node_2954", + "improvement_over_parent": null + }, + "node_2956": { + "node_id": "node_2956", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25097302622385, + "fos_buckling": 1.52304102317205, + "fos_yielding": 2.0125885591460126, + "deflection": 0.004040329120064676, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2955", + "improvement_over_parent": null + }, + "node_2957": { + "node_id": "node_2957", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2956", + "improvement_over_parent": null + }, + "node_2958": { + "node_id": "node_2958", + "content": "INITIAL DESIGN (Trace 426)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\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_2959": { + "node_id": "node_2959", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n\nPerformance:\n Mass: 131.74 kg\n Factor of Safety: 0.44\n Max Deflection: 1.28e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.74335006424093, + "fos_buckling": 0.44313586285223605, + "fos_yielding": 0.9954151015919188, + "deflection": 12788687198385.426, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003076)" + }, + "parent_node_id": "node_2958", + "improvement_over_parent": null + }, + "node_2960": { + "node_id": "node_2960", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 160.06 kg\n Factor of Safety: 0.69\n Max Deflection: 9.23e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 160.0583802767477, + "fos_buckling": 0.686372360775932, + "fos_yielding": 0.9954151015919188, + "deflection": 0.00922787289908881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003844)" + }, + "parent_node_id": "node_2959", + "improvement_over_parent": null + }, + "node_2961": { + "node_id": "node_2961", + "content": "MODIFICATION: Increase 5 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0056)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 172.15 kg\n Factor of Safety: 0.74\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 172.15316065078545, + "fos_buckling": 0.7368820724085311, + "fos_yielding": 0.995415101591919, + "deflection": 0.008461725306879993, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.479)" + }, + "parent_node_id": "node_2960", + "improvement_over_parent": null + }, + "node_2962": { + "node_id": "node_2962", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0056)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 175.47 kg\n Factor of Safety: 0.79\n Max Deflection: 7.21e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.46541089064235, + "fos_buckling": 0.7946470428824631, + "fos_yielding": 0.8863718506563679, + "deflection": 0.007214392667409195, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002029)" + }, + "parent_node_id": "node_2961", + "improvement_over_parent": null + }, + "node_2963": { + "node_id": "node_2963", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0074)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 226.24 kg\n Factor of Safety: 1.01\n Max Deflection: 5.61e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.23702297186213, + "fos_buckling": 1.008914375624812, + "fos_yielding": 1.1499831768330873, + "deflection": 0.005612701217345818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.314)" + }, + "parent_node_id": "node_2962", + "improvement_over_parent": null + }, + "node_2964": { + "node_id": "node_2964", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0074)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 253.25 kg\n Factor of Safety: 1.02\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": 253.24569895081612, + "fos_buckling": 1.0150115662488712, + "fos_yielding": 1.1569328911131225, + "deflection": 0.004758939782936986, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004341)" + }, + "parent_node_id": "node_2963", + "improvement_over_parent": null + }, + "node_2965": { + "node_id": "node_2965", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0091)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 307.84 kg\n Factor of Safety: 1.22\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": 307.83631430985275, + "fos_buckling": 1.2150447679736298, + "fos_yielding": 1.4151582602471267, + "deflection": 0.003923973900308118, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_2964", + "improvement_over_parent": null + }, + "node_2966": { + "node_id": "node_2966", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2965", + "improvement_over_parent": null + }, + "node_2967": { + "node_id": "node_2967", + "content": "INITIAL DESIGN (Trace 427)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 203.28 kg\n Factor of Safety: 0.87\n Max Deflection: 6.25e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.27967823751953, + "fos_buckling": 0.8717866075286859, + "fos_yielding": 1.7823706198293248, + "deflection": 0.006245534217461223, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2968": { + "node_id": "node_2968", + "content": "MODIFICATION: Increase 4 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 204.19 kg\n Factor of Safety: 0.87\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": 204.1854448443999, + "fos_buckling": 0.8717866075286859, + "fos_yielding": 1.7823706198293248, + "deflection": 0.0062080834470309735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.212)" + }, + "parent_node_id": "node_2967", + "improvement_over_parent": null + }, + "node_2969": { + "node_id": "node_2969", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.22 kg\n Factor of Safety: 1.07\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": 262.2229688583999, + "fos_buckling": 1.0725271899047666, + "fos_yielding": 2.2879083317220577, + "deflection": 0.0048518000279703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.312)" + }, + "parent_node_id": "node_2968", + "improvement_over_parent": null + }, + "node_2970": { + "node_id": "node_2970", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2015149074763, + "fos_buckling": 1.5228029754322332, + "fos_yielding": 2.0122958148738466, + "deflection": 0.004041048031764399, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2969", + "improvement_over_parent": null + }, + "node_2971": { + "node_id": "node_2971", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2970", + "improvement_over_parent": null + }, + "node_2972": { + "node_id": "node_2972", + "content": "INITIAL DESIGN (Trace 428)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 226.76 kg\n Factor of Safety: 1.23\n Max Deflection: 5.20e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.76345788334777, + "fos_buckling": 1.2295858511626638, + "fos_yielding": 1.6929870013388477, + "deflection": 0.005204795641550645, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2973": { + "node_id": "node_2973", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 274.92 kg\n Factor of Safety: 1.44\n Max Deflection: 4.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.91610093761483, + "fos_buckling": 1.441160233420325, + "fos_yielding": 2.048093057955506, + "deflection": 0.004304533517685194, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_2972", + "improvement_over_parent": null + }, + "node_2974": { + "node_id": "node_2974", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.70 kg\n Factor of Safety: 1.44\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": 282.70211248152987, + "fos_buckling": 1.4435826078355405, + "fos_yielding": 2.0466126439704464, + "deflection": 0.004145070468660292, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.326)" + }, + "parent_node_id": "node_2973", + "improvement_over_parent": null + }, + "node_2975": { + "node_id": "node_2975", + "content": "MODIFICATION: Increase 9 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.32381564050684, + "fos_buckling": 1.5232427086010003, + "fos_yielding": 2.0131062938662465, + "deflection": 0.004039291097105552, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.572)" + }, + "parent_node_id": "node_2974", + "improvement_over_parent": null + }, + "node_2976": { + "node_id": "node_2976", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2975", + "improvement_over_parent": null + }, + "node_2977": { + "node_id": "node_2977", + "content": "INITIAL DESIGN (Trace 429)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 204.11 kg\n Factor of Safety: 1.06\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": 204.1053967832281, + "fos_buckling": 1.0601295530536634, + "fos_yielding": 1.4459262216619722, + "deflection": 0.005764587359740526, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2978": { + "node_id": "node_2978", + "content": "MODIFICATION: Increase 2 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 209.37 kg\n Factor of Safety: 1.03\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.3650646571367, + "fos_buckling": 1.0348827798969906, + "fos_yielding": 1.4467139706238878, + "deflection": 0.005656071260101727, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.420)" + }, + "parent_node_id": "node_2977", + "improvement_over_parent": null + }, + "node_2979": { + "node_id": "node_2979", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 232.95 kg\n Factor of Safety: 1.14\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": 232.95065519932376, + "fos_buckling": 1.1397318242111873, + "fos_yielding": 1.6087790146167626, + "deflection": 0.005090185517312927, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.121)" + }, + "parent_node_id": "node_2978", + "improvement_over_parent": null + }, + "node_2980": { + "node_id": "node_2980", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 234.17 kg\n Factor of Safety: 1.26\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": 234.1705591889846, + "fos_buckling": 1.2645398111561281, + "fos_yielding": 1.6092405480538938, + "deflection": 0.005042418687539652, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.297)" + }, + "parent_node_id": "node_2979", + "improvement_over_parent": null + }, + "node_2981": { + "node_id": "node_2981", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.25 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.25236448407003, + "fos_buckling": 1.5229621439133805, + "fos_yielding": 2.0125753339708026, + "deflection": 0.004040341896225085, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.277)" + }, + "parent_node_id": "node_2980", + "improvement_over_parent": null + }, + "node_2982": { + "node_id": "node_2982", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2981", + "improvement_over_parent": null + }, + "node_2983": { + "node_id": "node_2983", + "content": "INITIAL DESIGN (Trace 430)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 221.98 kg\n Factor of Safety: 1.01\n Max Deflection: 8.16e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.97972933058836, + "fos_buckling": 1.0097940726288903, + "fos_yielding": 1.4145398387448895, + "deflection": 0.008162900662751143, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2984": { + "node_id": "node_2984", + "content": "MODIFICATION: Increase 0 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 225.27 kg\n Factor of Safety: 1.01\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.2684435313217, + "fos_buckling": 1.0095659280460347, + "fos_yielding": 1.7715464103008953, + "deflection": 0.007432972015801079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.263)" + }, + "parent_node_id": "node_2983", + "improvement_over_parent": null + }, + "node_2985": { + "node_id": "node_2985", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 251.17 kg\n Factor of Safety: 1.07\n Max Deflection: 5.34e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.16588067371148, + "fos_buckling": 1.0734037200408737, + "fos_yielding": 2.2871339933597423, + "deflection": 0.005340776102721667, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_2984", + "improvement_over_parent": null + }, + "node_2986": { + "node_id": "node_2986", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 256.23 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": 256.2324876799724, + "fos_buckling": 1.0730308919090878, + "fos_yielding": 2.287133993359741, + "deflection": 0.005139309142681641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.328)" + }, + "parent_node_id": "node_2985", + "improvement_over_parent": null + }, + "node_2987": { + "node_id": "node_2987", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 280.61 kg\n Factor of Safety: 1.45\n Max Deflection: 4.35e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 280.6139596408045, + "fos_buckling": 1.448941583319683, + "fos_yielding": 2.0155221560537533, + "deflection": 0.004345378124027305, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_2986", + "improvement_over_parent": null + }, + "node_2988": { + "node_id": "node_2988", + "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1898494980387, + "fos_buckling": 1.5228696905944838, + "fos_yielding": 2.0124487661798085, + "deflection": 0.004041283387556221, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.645)" + }, + "parent_node_id": "node_2987", + "improvement_over_parent": null + }, + "node_2989": { + "node_id": "node_2989", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2988", + "improvement_over_parent": null + }, + "node_2990": { + "node_id": "node_2990", + "content": "INITIAL DESIGN (Trace 431)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 0.00 kg\n Factor of Safety: 0.00\n Max Deflection: inf m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 0, + "fos_buckling": 0, + "fos_yielding": 0, + "deflection": Infinity, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2991": { + "node_id": "node_2991", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 169.47 kg\n Factor of Safety: 0.46\n Max Deflection: 1.17e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.46749435243024, + "fos_buckling": 0.458587106728862, + "fos_yielding": 1.640093558157093, + "deflection": 11653068968591.75, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004181)" + }, + "parent_node_id": "node_2990", + "improvement_over_parent": null + }, + "node_2992": { + "node_id": "node_2992", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n\nPerformance:\n Mass: 203.70 kg\n Factor of Safety: 0.84\n Max Deflection: 7.41e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.70117635031687, + "fos_buckling": 0.8407178573063628, + "fos_yielding": 1.8141276686285304, + "deflection": 0.007405722428098703, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004790)" + }, + "parent_node_id": "node_2991", + "improvement_over_parent": null + }, + "node_2993": { + "node_id": "node_2993", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 256.96 kg\n Factor of Safety: 1.02\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.95606909271993, + "fos_buckling": 1.021785459151074, + "fos_yielding": 2.2873946293338108, + "deflection": 0.005882350582294693, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.287)" + }, + "parent_node_id": "node_2992", + "improvement_over_parent": null + }, + "node_2994": { + "node_id": "node_2994", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 262.17 kg\n Factor of Safety: 1.07\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": 262.169899126534, + "fos_buckling": 1.0723332052796684, + "fos_yielding": 2.2873946293338108, + "deflection": 0.00485277981686593, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_2993", + "improvement_over_parent": null + }, + "node_2995": { + "node_id": "node_2995", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1484451756104, + "fos_buckling": 1.5225820560296275, + "fos_yielding": 2.011824499241808, + "deflection": 0.004041769462984589, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_2994", + "improvement_over_parent": null + }, + "node_2996": { + "node_id": "node_2996", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_2995", + "improvement_over_parent": null + }, + "node_2997": { + "node_id": "node_2997", + "content": "INITIAL DESIGN (Trace 432)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 217.77 kg\n Factor of Safety: 0.78\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.7742351074931, + "fos_buckling": 0.7815270760502665, + "fos_yielding": 1.47517420471442, + "deflection": 0.00800489592482833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_2998": { + "node_id": "node_2998", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 221.91 kg\n Factor of Safety: 1.11\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": 221.91234876380233, + "fos_buckling": 1.1100170997711492, + "fos_yielding": 1.2783507312081177, + "deflection": 0.005391714756924415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002572)" + }, + "parent_node_id": "node_2997", + "improvement_over_parent": null + }, + "node_2999": { + "node_id": "node_2999", + "content": "MODIFICATION: Increase 0 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 226.15 kg\n Factor of Safety: 1.11\n Max Deflection: 5.27e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.14661165267322, + "fos_buckling": 1.1094792261818869, + "fos_yielding": 1.2777312893127875, + "deflection": 0.005271125850046984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.200)" + }, + "parent_node_id": "node_2998", + "improvement_over_parent": null + }, + "node_3000": { + "node_id": "node_3000", + "content": "MODIFICATION: Increase 6 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 233.76 kg\n Factor of Safety: 1.11\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.76265642544675, + "fos_buckling": 1.1086204736723493, + "fos_yielding": 1.2767423073424016, + "deflection": 0.005075986421339318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.280)" + }, + "parent_node_id": "node_2999", + "improvement_over_parent": null + }, + "node_3001": { + "node_id": "node_3001", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0059)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 260.90 kg\n Factor of Safety: 1.22\n Max Deflection: 4.55e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.8986735089164, + "fos_buckling": 1.2234855758800651, + "fos_yielding": 1.4269953975274399, + "deflection": 0.004554891836776543, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3000", + "improvement_over_parent": null + }, + "node_3002": { + "node_id": "node_3002", + "content": "MODIFICATION: Increase 7 thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0059)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 265.61 kg\n Factor of Safety: 1.22\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": 265.6057111799916, + "fos_buckling": 1.2237673035467997, + "fos_yielding": 1.4273239866761085, + "deflection": 0.004514344211002732, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.178)" + }, + "parent_node_id": "node_3001", + "improvement_over_parent": null + }, + "node_3003": { + "node_id": "node_3003", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0067)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 299.82 kg\n Factor of Safety: 1.36\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": 299.81814802692156, + "fos_buckling": 1.362334987025194, + "fos_yielding": 1.614646365445234, + "deflection": 0.004006146629500892, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.142)" + }, + "parent_node_id": "node_3002", + "improvement_over_parent": null + }, + "node_3004": { + "node_id": "node_3004", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3003", + "improvement_over_parent": null + }, + "node_3005": { + "node_id": "node_3005", + "content": "INITIAL DESIGN (Trace 433)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n\nPerformance:\n Mass: 132.19 kg\n Factor of Safety: 0.53\n Max Deflection: 1.58e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 132.19269770183362, + "fos_buckling": 0.5304331727652518, + "fos_yielding": 1.0668771598402553, + "deflection": 15817272494131.393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3006": { + "node_id": "node_3006", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 147.97 kg\n Factor of Safety: 1.19\n Max Deflection: 2.27e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 147.97130881076825, + "fos_buckling": 1.191741614040288, + "fos_yielding": 1.3649095329079917, + "deflection": 22685167418801.754, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3005", + "improvement_over_parent": null + }, + "node_3007": { + "node_id": "node_3007", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 174.72 kg\n Factor of Safety: 0.46\n Max Deflection: 1.31e-02 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.71930888864011, + "fos_buckling": 0.46362949814367455, + "fos_yielding": 0.9395538965122561, + "deflection": 0.0131209045545319, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004449)" + }, + "parent_node_id": "node_3006", + "improvement_over_parent": null + }, + "node_3008": { + "node_id": "node_3008", + "content": "MODIFICATION: Increase 6 thickness by 48%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 177.38 kg\n Factor of Safety: 0.46\n Max Deflection: 1.28e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.38135219299426, + "fos_buckling": 0.46362949814367455, + "fos_yielding": 1.1555778807173296, + "deflection": 0.012759168448460825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.484)" + }, + "parent_node_id": "node_3007", + "improvement_over_parent": null + }, + "node_3009": { + "node_id": "node_3009", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 215.87 kg\n Factor of Safety: 0.52\n Max Deflection: 8.32e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.8710467346377, + "fos_buckling": 0.5216996799643923, + "fos_yielding": 1.6439266150360243, + "deflection": 0.008315994371818054, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005337)" + }, + "parent_node_id": "node_3008", + "improvement_over_parent": null + }, + "node_3010": { + "node_id": "node_3010", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n\nPerformance:\n Mass: 253.16 kg\n Factor of Safety: 1.35\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": 253.1625938502652, + "fos_buckling": 1.3502584188405555, + "fos_yielding": 1.7389805931966056, + "deflection": 0.004669295074952597, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.005253)" + }, + "parent_node_id": "node_3009", + "improvement_over_parent": null + }, + "node_3011": { + "node_id": "node_3011", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2609888789067, + "fos_buckling": 1.5230202121749148, + "fos_yielding": 2.012599427232344, + "deflection": 0.004040231103789348, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.174)" + }, + "parent_node_id": "node_3010", + "improvement_over_parent": null + }, + "node_3012": { + "node_id": "node_3012", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3011", + "improvement_over_parent": null + }, + "node_3013": { + "node_id": "node_3013", + "content": "INITIAL DESIGN (Trace 434)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 207.14 kg\n Factor of Safety: 1.13\n Max Deflection: 5.68e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.13977800423655, + "fos_buckling": 1.128406006157925, + "fos_yielding": 1.5870183548260888, + "deflection": 0.005677646371736773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3014": { + "node_id": "node_3014", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.55 kg\n Factor of Safety: 1.41\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": 268.5502662364579, + "fos_buckling": 1.4119162928912927, + "fos_yielding": 2.0506894166857177, + "deflection": 0.00439459454429016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3013", + "improvement_over_parent": null + }, + "node_3015": { + "node_id": "node_3015", + "content": "MODIFICATION: Increase 0 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 274.74 kg\n Factor of Safety: 1.36\n Max Deflection: 4.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.73539690601626, + "fos_buckling": 1.3589863928879449, + "fos_yielding": 2.0496491223338626, + "deflection": 0.004284324988518047, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.244)" + }, + "parent_node_id": "node_3014", + "improvement_over_parent": null + }, + "node_3016": { + "node_id": "node_3016", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 282.46 kg\n Factor of Safety: 1.44\n Max Deflection: 4.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.4557356802341, + "fos_buckling": 1.441013359470534, + "fos_yielding": 2.0484012365902067, + "deflection": 0.004148285897620793, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.239)" + }, + "parent_node_id": "node_3015", + "improvement_over_parent": null + }, + "node_3017": { + "node_id": "node_3017", + "content": "MODIFICATION: Increase 9 thickness by 60%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.38 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3808536131979, + "fos_buckling": 1.5235404782552715, + "fos_yielding": 2.01361287279501, + "deflection": 0.004038520089826024, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.597)" + }, + "parent_node_id": "node_3016", + "improvement_over_parent": null + }, + "node_3018": { + "node_id": "node_3018", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3017", + "improvement_over_parent": null + }, + "node_3019": { + "node_id": "node_3019", + "content": "INITIAL DESIGN (Trace 435)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0027)]\n\nPerformance:\n Mass: 149.24 kg\n Factor of Safety: 0.75\n Max Deflection: 8.15e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 149.24035711398943, + "fos_buckling": 0.7460036149466552, + "fos_yielding": 1.1235955901589016, + "deflection": 0.008149300242668434, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3020": { + "node_id": "node_3020", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 172.76 kg\n Factor of Safety: 0.85\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": 172.75975332757798, + "fos_buckling": 0.854219855736246, + "fos_yielding": 1.299166308132766, + "deflection": 0.0070472382922245405, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.166)" + }, + "parent_node_id": "node_3019", + "improvement_over_parent": null + }, + "node_3021": { + "node_id": "node_3021", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 193.44 kg\n Factor of Safety: 0.95\n Max Deflection: 6.30e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.43902496846079, + "fos_buckling": 0.947264367088481, + "fos_yielding": 1.4531793775616058, + "deflection": 0.006299611606395436, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.127)" + }, + "parent_node_id": "node_3020", + "improvement_over_parent": null + }, + "node_3022": { + "node_id": "node_3022", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 216.76 kg\n Factor of Safety: 1.05\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.76263640789068, + "fos_buckling": 1.049842946778989, + "fos_yielding": 1.6264778699057412, + "deflection": 0.005627508727943763, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3021", + "improvement_over_parent": null + }, + "node_3023": { + "node_id": "node_3023", + "content": "MODIFICATION: Increase 1 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 225.67 kg\n Factor of Safety: 1.05\n Max Deflection: 5.36e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.67205276171143, + "fos_buckling": 1.0532270031099047, + "fos_yielding": 1.65520731761082, + "deflection": 0.005359451965062963, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.473)" + }, + "parent_node_id": "node_3022", + "improvement_over_parent": null + }, + "node_3024": { + "node_id": "node_3024", + "content": "MODIFICATION: Increase 10 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 233.75 kg\n Factor of Safety: 1.06\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": 233.7540939987432, + "fos_buckling": 1.0559360389427355, + "fos_yielding": 1.6799729206178835, + "deflection": 0.005136564503883464, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.300)" + }, + "parent_node_id": "node_3023", + "improvement_over_parent": null + }, + "node_3025": { + "node_id": "node_3025", + "content": "MODIFICATION: Increase 7 thickness by 44%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 244.21 kg\n Factor of Safety: 1.31\n Max Deflection: 4.84e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.2074469471155, + "fos_buckling": 1.3099463582171662, + "fos_yielding": 1.6779184125290223, + "deflection": 0.004838071614958315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.441)" + }, + "parent_node_id": "node_3024", + "improvement_over_parent": null + }, + "node_3026": { + "node_id": "node_3026", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3479786344443, + "fos_buckling": 1.5231592339662632, + "fos_yielding": 2.013324782666338, + "deflection": 0.004039109250849044, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_3025", + "improvement_over_parent": null + }, + "node_3027": { + "node_id": "node_3027", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3026", + "improvement_over_parent": null + }, + "node_3028": { + "node_id": "node_3028", + "content": "INITIAL DESIGN (Trace 436)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0018)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 126.84 kg\n Factor of Safety: 0.36\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": 126.83700197299612, + "fos_buckling": 0.3637507255374817, + "fos_yielding": 1.0113829953478075, + "deflection": 0.011691295380803565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3029": { + "node_id": "node_3029", + "content": "MODIFICATION: Increase 6 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0028)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0030)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0025)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0030)]\n\nPerformance:\n Mass: 134.87 kg\n Factor of Safety: 0.56\n Max Deflection: 9.85e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.86594464141172, + "fos_buckling": 0.5583014920292355, + "fos_yielding": 1.0112997629266594, + "deflection": 0.009846339381630412, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.608)" + }, + "parent_node_id": "node_3028", + "improvement_over_parent": null + }, + "node_3030": { + "node_id": "node_3030", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 153.23 kg\n Factor of Safety: 0.63\n Max Deflection: 8.68e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.22969546977015, + "fos_buckling": 0.626343585504542, + "fos_yielding": 1.1484907574810546, + "deflection": 0.008676178111983714, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3029", + "improvement_over_parent": null + }, + "node_3031": { + "node_id": "node_3031", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n\nPerformance:\n Mass: 193.49 kg\n Factor of Safety: 0.77\n Max Deflection: 6.89e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 193.4925355617622, + "fos_buckling": 0.7689200116586786, + "fos_yielding": 1.448858118912548, + "deflection": 0.006887934317640913, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3030", + "improvement_over_parent": null + }, + "node_3032": { + "node_id": "node_3032", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 229.65 kg\n Factor of Safety: 0.89\n Max Deflection: 5.82e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.6460935355022, + "fos_buckling": 0.8892601692113501, + "fos_yielding": 1.7180718603598013, + "deflection": 0.005816520906508815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.202)" + }, + "parent_node_id": "node_3031", + "improvement_over_parent": null + }, + "node_3033": { + "node_id": "node_3033", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.48 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.48266372925946, + "fos_buckling": 1.0074736892973568, + "fos_yielding": 1.9993151035218917, + "deflection": 0.00500539893567532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.181)" + }, + "parent_node_id": "node_3032", + "improvement_over_parent": null + }, + "node_3034": { + "node_id": "node_3034", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.38 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.38010087164923, + "fos_buckling": 1.5235131062949805, + "fos_yielding": 2.0134415828920527, + "deflection": 0.004038504201180951, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_3033", + "improvement_over_parent": null + }, + "node_3035": { + "node_id": "node_3035", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3034", + "improvement_over_parent": null + }, + "node_3036": { + "node_id": "node_3036", + "content": "INITIAL DESIGN (Trace 437)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 209.77 kg\n Factor of Safety: 1.12\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": 209.7721328479632, + "fos_buckling": 1.118318323512961, + "fos_yielding": 1.4723663896784926, + "deflection": 0.005594674248989547, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3037": { + "node_id": "node_3037", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 243.81 kg\n Factor of Safety: 1.28\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": 243.81012768521737, + "fos_buckling": 1.2787036677563728, + "fos_yielding": 1.7096136568508353, + "deflection": 0.00482323188910214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.175)" + }, + "parent_node_id": "node_3036", + "improvement_over_parent": null + }, + "node_3038": { + "node_id": "node_3038", + "content": "MODIFICATION: Increase 2 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 248.96 kg\n Factor of Safety: 1.33\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.95710800277524, + "fos_buckling": 1.3315445557216765, + "fos_yielding": 1.7103773728726162, + "deflection": 0.004746951763432202, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.330)" + }, + "parent_node_id": "node_3037", + "improvement_over_parent": null + }, + "node_3039": { + "node_id": "node_3039", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.15613520025516, + "fos_buckling": 1.5226360337019946, + "fos_yielding": 2.012026114500598, + "deflection": 0.004041601429403581, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.195)" + }, + "parent_node_id": "node_3038", + "improvement_over_parent": null + }, + "node_3040": { + "node_id": "node_3040", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3039", + "improvement_over_parent": null + }, + "node_3041": { + "node_id": "node_3041", + "content": "INITIAL DESIGN (Trace 438)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0033)]\n\nPerformance:\n Mass: 142.52 kg\n Factor of Safety: 0.61\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 142.52157027073306, + "fos_buckling": 0.610011251210175, + "fos_yielding": 1.2605133359290677, + "deflection": 0.01062870753228997, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3042": { + "node_id": "node_3042", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 169.88 kg\n Factor of Safety: 0.71\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": 169.87891878990376, + "fos_buckling": 0.7142688297489016, + "fos_yielding": 1.5018765760758737, + "deflection": 0.008925750617232876, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_3041", + "improvement_over_parent": null + }, + "node_3043": { + "node_id": "node_3043", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 189.96 kg\n Factor of Safety: 0.79\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": 189.95984074491358, + "fos_buckling": 0.7881666965351449, + "fos_yielding": 1.6789138420035303, + "deflection": 0.007987934468439331, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3042", + "improvement_over_parent": null + }, + "node_3044": { + "node_id": "node_3044", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n\nPerformance:\n Mass: 207.85 kg\n Factor of Safety: 0.80\n Max Deflection: 8.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.8536444285522, + "fos_buckling": 0.7985682379161473, + "fos_yielding": 1.687769495861296, + "deflection": 0.007996057854999641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003479)" + }, + "parent_node_id": "node_3043", + "improvement_over_parent": null + }, + "node_3045": { + "node_id": "node_3045", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n\nPerformance:\n Mass: 243.65 kg\n Factor of Safety: 0.91\n Max Deflection: 6.83e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 243.65446953598183, + "fos_buckling": 0.9145411598791893, + "fos_yielding": 1.9761951394055135, + "deflection": 0.0068306510793556055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.186)" + }, + "parent_node_id": "node_3044", + "improvement_over_parent": null + }, + "node_3046": { + "node_id": "node_3046", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 283.20 kg\n Factor of Safety: 1.04\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 283.20115870572414, + "fos_buckling": 1.0353590506291983, + "fos_yielding": 2.293998911139622, + "deflection": 0.005885877031273896, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_3045", + "improvement_over_parent": null + }, + "node_3047": { + "node_id": "node_3047", + "content": "MODIFICATION: Increase 8 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0074)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 290.67 kg\n Factor of Safety: 1.05\n Max Deflection: 5.66e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 290.6699606582154, + "fos_buckling": 1.0515238179811592, + "fos_yielding": 2.3102435278373976, + "deflection": 0.005655788913826856, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.188)" + }, + "parent_node_id": "node_3046", + "improvement_over_parent": null + }, + "node_3048": { + "node_id": "node_3048", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0074)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 295.88 kg\n Factor of Safety: 1.53\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": 295.8837906920295, + "fos_buckling": 1.5286930980310411, + "fos_yielding": 2.03874375518083, + "deflection": 0.0039747355918548135, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3047", + "improvement_over_parent": null + }, + "node_3049": { + "node_id": "node_3049", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3048", + "improvement_over_parent": null + }, + "node_3050": { + "node_id": "node_3050", + "content": "INITIAL DESIGN (Trace 439)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 122.22 kg\n Factor of Safety: 0.21\n Max Deflection: 5.32e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 122.22358874929718, + "fos_buckling": 0.20903270076356148, + "fos_yielding": 0.6080323364908599, + "deflection": 53160739529204.52, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3051": { + "node_id": "node_3051", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 143.99 kg\n Factor of Safety: 1.00\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": 143.99363235682478, + "fos_buckling": 1.002316177669546, + "fos_yielding": 1.5149236570266706, + "deflection": 21735750191763.71, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.189)" + }, + "parent_node_id": "node_3050", + "improvement_over_parent": null + }, + "node_3052": { + "node_id": "node_3052", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n\nPerformance:\n Mass: 173.34 kg\n Factor of Safety: 0.73\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 173.33653487121882, + "fos_buckling": 0.7280451938043472, + "fos_yielding": 1.5472861617926978, + "deflection": 0.008630044173391855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004063)" + }, + "parent_node_id": "node_3051", + "improvement_over_parent": null + }, + "node_3053": { + "node_id": "node_3053", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n\nPerformance:\n Mass: 225.80 kg\n Factor of Safety: 0.91\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.80325122564523, + "fos_buckling": 0.9120974546341423, + "fos_yielding": 2.0113964098374755, + "deflection": 0.006637975512778106, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.328)" + }, + "parent_node_id": "node_3052", + "improvement_over_parent": null + }, + "node_3054": { + "node_id": "node_3054", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n\nPerformance:\n Mass: 254.93 kg\n Factor of Safety: 0.94\n Max Deflection: 6.64e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 254.9282860635579, + "fos_buckling": 0.9374501095484301, + "fos_yielding": 2.034274442502679, + "deflection": 0.0066351134844157495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004710)" + }, + "parent_node_id": "node_3053", + "improvement_over_parent": null + }, + "node_3055": { + "node_id": "node_3055", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 288.10 kg\n Factor of Safety: 1.04\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": 288.1049760551185, + "fos_buckling": 1.036746716355841, + "fos_yielding": 2.2968501950918134, + "deflection": 0.005877502981706937, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3054", + "improvement_over_parent": null + }, + "node_3056": { + "node_id": "node_3056", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3188060889326, + "fos_buckling": 1.5233411269259798, + "fos_yielding": 2.0132521161353907, + "deflection": 0.004039473525953104, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3055", + "improvement_over_parent": null + }, + "node_3057": { + "node_id": "node_3057", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3056", + "improvement_over_parent": null + }, + "node_3058": { + "node_id": "node_3058", + "content": "INITIAL DESIGN (Trace 440)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\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_3059": { + "node_id": "node_3059", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 169.43 kg\n Factor of Safety: 0.48\n Max Deflection: 8.29e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 169.4290429743541, + "fos_buckling": 0.4791060841389439, + "fos_yielding": 0.8784964460501457, + "deflection": 8292991010803.939, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_3058", + "improvement_over_parent": null + }, + "node_3060": { + "node_id": "node_3060", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 214.01 kg\n Factor of Safety: 0.96\n Max Deflection: 4.44e+12 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.01097414229997, + "fos_buckling": 0.9582121682778878, + "fos_yielding": 1.219333817395628, + "deflection": 4436444365189.084, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3059", + "improvement_over_parent": null + }, + "node_3061": { + "node_id": "node_3061", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 257.21 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": 257.2090320797522, + "fos_buckling": 1.0071858164387444, + "fos_yielding": 1.3929082257194323, + "deflection": 0.005099589148825242, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3060", + "improvement_over_parent": null + }, + "node_3062": { + "node_id": "node_3062", + "content": "MODIFICATION: Increase 6 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0078)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 270.51 kg\n Factor of Safety: 1.01\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": 270.51082786914606, + "fos_buckling": 1.006268475300886, + "fos_yielding": 1.376902164508247, + "deflection": 0.005025797495580554, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.497)" + }, + "parent_node_id": "node_3061", + "improvement_over_parent": null + }, + "node_3063": { + "node_id": "node_3063", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0078)]\n M7: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 303.42 kg\n Factor of Safety: 1.19\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": 303.42336450076306, + "fos_buckling": 1.192529277355232, + "fos_yielding": 1.3872120518739086, + "deflection": 0.004061310792083149, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_3062", + "improvement_over_parent": null + }, + "node_3064": { + "node_id": "node_3064", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3063", + "improvement_over_parent": null + }, + "node_3065": { + "node_id": "node_3065", + "content": "INITIAL DESIGN (Trace 441)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 200.21 kg\n Factor of Safety: 0.83\n Max Deflection: 8.01e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.21059270210304, + "fos_buckling": 0.8286471739819374, + "fos_yielding": 1.7931112070127717, + "deflection": 0.008009168888436976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3066": { + "node_id": "node_3066", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 220.65 kg\n Factor of Safety: 0.84\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": 220.65087582127776, + "fos_buckling": 0.8442420046444368, + "fos_yielding": 1.8406067046612757, + "deflection": 0.007980183984055459, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003876)" + }, + "parent_node_id": "node_3065", + "improvement_over_parent": null + }, + "node_3067": { + "node_id": "node_3067", + "content": "MODIFICATION: Increase 0 thickness by 36%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 227.32 kg\n Factor of Safety: 0.85\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 227.3188792446862, + "fos_buckling": 0.8510569445341842, + "fos_yielding": 1.8153086224533836, + "deflection": 0.007434280671254576, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.355)" + }, + "parent_node_id": "node_3066", + "improvement_over_parent": null + }, + "node_3068": { + "node_id": "node_3068", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 231.43 kg\n Factor of Safety: 1.25\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": 231.4345224226218, + "fos_buckling": 1.252058942916805, + "fos_yielding": 1.5906363688825345, + "deflection": 0.005101236438971596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002557)" + }, + "parent_node_id": "node_3067", + "improvement_over_parent": null + }, + "node_3069": { + "node_id": "node_3069", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 260.45 kg\n Factor of Safety: 1.38\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": 260.4466199916643, + "fos_buckling": 1.3825176560663481, + "fos_yielding": 1.788863559535774, + "deflection": 0.004540634154217479, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_3068", + "improvement_over_parent": null + }, + "node_3070": { + "node_id": "node_3070", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1573444542166, + "fos_buckling": 1.5226454806540084, + "fos_yielding": 2.0120509298542277, + "deflection": 0.0040416425123005585, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_3069", + "improvement_over_parent": null + }, + "node_3071": { + "node_id": "node_3071", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 442)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0039)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 175.86 kg\n Factor of Safety: 0.79\n Max Deflection: 4.32e+11 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 175.86182634027244, + "fos_buckling": 0.7900526970470485, + "fos_yielding": 1.6937935179172223, + "deflection": 431942225037.9153, + "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 all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 195.45 kg\n Factor of Safety: 0.86\n Max Deflection: 6.14e+11 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.4532619573336, + "fos_buckling": 0.8647254678093466, + "fos_yielding": 1.8685587892754525, + "deflection": 614070844057.898, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3072", + "improvement_over_parent": null + }, + "node_3074": { + "node_id": "node_3074", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n\nPerformance:\n Mass: 216.75 kg\n Factor of Safety: 0.87\n Max Deflection: 7.13e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.74997695191735, + "fos_buckling": 0.8703576726256105, + "fos_yielding": 1.88125090526896, + "deflection": 0.0071305514298100935, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004051)" + }, + "parent_node_id": "node_3073", + "improvement_over_parent": null + }, + "node_3075": { + "node_id": "node_3075", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 263.73 kg\n Factor of Safety: 1.03\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 263.72534399134526, + "fos_buckling": 1.0262633463706199, + "fos_yielding": 2.2879304367464, + "deflection": 0.0058685112132809214, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3074", + "improvement_over_parent": null + }, + "node_3076": { + "node_id": "node_3076", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 268.94 kg\n Factor of Safety: 1.07\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": 268.93917402515933, + "fos_buckling": 1.0724042350926402, + "fos_yielding": 2.2879304367464006, + "deflection": 0.004851160796574274, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3075", + "improvement_over_parent": null + }, + "node_3077": { + "node_id": "node_3077", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.32 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3206459859914, + "fos_buckling": 1.5232211585230087, + "fos_yielding": 2.0131742117876796, + "deflection": 0.004039433844226135, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_3076", + "improvement_over_parent": null + }, + "node_3078": { + "node_id": "node_3078", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3077", + "improvement_over_parent": null + }, + "node_3079": { + "node_id": "node_3079", + "content": "INITIAL DESIGN (Trace 443)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n\nPerformance:\n Mass: 127.65 kg\n Factor of Safety: 0.30\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 127.64652831471251, + "fos_buckling": 0.3028804486664754, + "fos_yielding": 0.8385874343486592, + "deflection": 0.014249293279845471, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3080": { + "node_id": "node_3080", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 151.33 kg\n Factor of Safety: 0.74\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": 151.33119048551868, + "fos_buckling": 0.7354768438336357, + "fos_yielding": 1.0714829931863303, + "deflection": 0.0077699202246696904, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.003186)" + }, + "parent_node_id": "node_3079", + "improvement_over_parent": null + }, + "node_3081": { + "node_id": "node_3081", + "content": "MODIFICATION: Increase 4 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 152.42 kg\n Factor of Safety: 0.83\n Max Deflection: 7.67e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.42028890394448, + "fos_buckling": 0.832458805280676, + "fos_yielding": 1.0718952958073447, + "deflection": 0.007673733971105451, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.429)" + }, + "parent_node_id": "node_3080", + "improvement_over_parent": null + }, + "node_3082": { + "node_id": "node_3082", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 195.42 kg\n Factor of Safety: 1.05\n Max Deflection: 6.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.42076247739428, + "fos_buckling": 1.0461103251036674, + "fos_yielding": 1.3726271705828674, + "deflection": 0.006000347884456245, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3081", + "improvement_over_parent": null + }, + "node_3083": { + "node_id": "node_3083", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 240.25 kg\n Factor of Safety: 1.26\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": 240.24640003851698, + "fos_buckling": 1.258945298848379, + "fos_yielding": 1.6853231235756698, + "deflection": 0.004893643317243717, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_3082", + "improvement_over_parent": null + }, + "node_3084": { + "node_id": "node_3084", + "content": "MODIFICATION: Increase 2 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 245.41 kg\n Factor of Safety: 1.32\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": 245.40794469774033, + "fos_buckling": 1.3156333226707184, + "fos_yielding": 1.6860930858520276, + "deflection": 0.00481463506672128, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.337)" + }, + "parent_node_id": "node_3083", + "improvement_over_parent": null + }, + "node_3085": { + "node_id": "node_3085", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.45 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4457783275397, + "fos_buckling": 1.5238606517903373, + "fos_yielding": 2.013958851335745, + "deflection": 0.004037699589452655, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.215)" + }, + "parent_node_id": "node_3084", + "improvement_over_parent": null + }, + "node_3086": { + "node_id": "node_3086", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3085", + "improvement_over_parent": null + }, + "node_3087": { + "node_id": "node_3087", + "content": "INITIAL DESIGN (Trace 444)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\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_3088": { + "node_id": "node_3088", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0027)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n\nPerformance:\n Mass: 153.69 kg\n Factor of Safety: 0.47\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": 153.69054947860087, + "fos_buckling": 0.4733824677513623, + "fos_yielding": 1.4646226995278906, + "deflection": 0.011248130475156038, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003917)" + }, + "parent_node_id": "node_3087", + "improvement_over_parent": null + }, + "node_3089": { + "node_id": "node_3089", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 200.72 kg\n Factor of Safety: 0.59\n Max Deflection: 8.63e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.71526730773277, + "fos_buckling": 0.5903504812947973, + "fos_yielding": 1.9037628646067257, + "deflection": 0.008634288036258755, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.333)" + }, + "parent_node_id": "node_3088", + "improvement_over_parent": null + }, + "node_3090": { + "node_id": "node_3090", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 243.91 kg\n Factor of Safety: 1.07\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": 243.91332524518498, + "fos_buckling": 1.0738460802673413, + "fos_yielding": 2.2868966786205602, + "deflection": 0.005920007827237808, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3089", + "improvement_over_parent": null + }, + "node_3091": { + "node_id": "node_3091", + "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 257.11 kg\n Factor of Safety: 1.07\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": 257.1097495557065, + "fos_buckling": 1.072874674868822, + "fos_yielding": 2.2868966786205585, + "deflection": 0.005111092987022315, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.661)" + }, + "parent_node_id": "node_3090", + "improvement_over_parent": null + }, + "node_3092": { + "node_id": "node_3092", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 281.49 kg\n Factor of Safety: 1.47\n Max Deflection: 4.32e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.49122151653864, + "fos_buckling": 1.4713821917433751, + "fos_yielding": 2.0150675565785345, + "deflection": 0.004315691074740555, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_3091", + "improvement_over_parent": null + }, + "node_3093": { + "node_id": "node_3093", + "content": "MODIFICATION: Increase 0 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.20 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.20086575606115, + "fos_buckling": 1.5226229278567356, + "fos_yielding": 2.012282528451442, + "deflection": 0.004041013821013873, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.577)" + }, + "parent_node_id": "node_3092", + "improvement_over_parent": null + }, + "node_3094": { + "node_id": "node_3094", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3093", + "improvement_over_parent": null + }, + "node_3095": { + "node_id": "node_3095", + "content": "INITIAL DESIGN (Trace 445)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0035)]\n\nPerformance:\n Mass: 153.63 kg\n Factor of Safety: 0.63\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.63216780709968, + "fos_buckling": 0.6275653521582916, + "fos_yielding": 1.1515931303201468, + "deflection": 0.008654391644723735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3096": { + "node_id": "node_3096", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 170.21 kg\n Factor of Safety: 0.69\n Max Deflection: 7.82e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.2050776472651, + "fos_buckling": 0.6872929093667456, + "fos_yielding": 1.2753079092000021, + "deflection": 0.00781972675044534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.114)" + }, + "parent_node_id": "node_3095", + "improvement_over_parent": null + }, + "node_3097": { + "node_id": "node_3097", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 211.13 kg\n Factor of Safety: 0.83\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": 211.13299756685865, + "fos_buckling": 0.8282367036018465, + "fos_yielding": 1.5804048228989547, + "deflection": 0.006319837826896419, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_3096", + "improvement_over_parent": null + }, + "node_3098": { + "node_id": "node_3098", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 231.59 kg\n Factor of Safety: 1.25\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": 231.59292037534303, + "fos_buckling": 1.252721542872215, + "fos_yielding": 1.5916243663890135, + "deflection": 0.005097813617937348, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003880)" + }, + "parent_node_id": "node_3097", + "improvement_over_parent": null + }, + "node_3099": { + "node_id": "node_3099", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.19 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.19480778848407, + "fos_buckling": 1.5227278477401158, + "fos_yielding": 2.0121892350620127, + "deflection": 0.004041149719051582, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_3098", + "improvement_over_parent": null + }, + "node_3100": { + "node_id": "node_3100", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3099", + "improvement_over_parent": null + }, + "node_3101": { + "node_id": "node_3101", + "content": "INITIAL DESIGN (Trace 446)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 194.60 kg\n Factor of Safety: 0.87\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.6006521552293, + "fos_buckling": 0.8677112313187877, + "fos_yielding": 1.7714220265492326, + "deflection": 0.006542724403831791, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3102": { + "node_id": "node_3102", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 251.69 kg\n Factor of Safety: 1.07\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.6882478298524, + "fos_buckling": 1.07347605565669, + "fos_yielding": 2.2883590082730056, + "deflection": 0.005075375814069377, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.321)" + }, + "parent_node_id": "node_3101", + "improvement_over_parent": null + }, + "node_3103": { + "node_id": "node_3103", + "content": "MODIFICATION: Increase 0 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.29 kg\n Factor of Safety: 1.07\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": 262.28914351363204, + "fos_buckling": 1.0726962559942612, + "fos_yielding": 2.2883590082730056, + "deflection": 0.004850615306006825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.497)" + }, + "parent_node_id": "node_3102", + "improvement_over_parent": null + }, + "node_3104": { + "node_id": "node_3104", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 283.10 kg\n Factor of Safety: 1.45\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": 283.10448217590937, + "fos_buckling": 1.4476131872313263, + "fos_yielding": 2.044315700998678, + "deflection": 0.004139900435874294, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003401)" + }, + "parent_node_id": "node_3103", + "improvement_over_parent": null + }, + "node_3105": { + "node_id": "node_3105", + "content": "MODIFICATION: Increase 9 thickness by 54%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0096)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 303.66 kg\n Factor of Safety: 1.54\n Max Deflection: 3.88e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.6649479893661, + "fos_buckling": 1.5351015649435389, + "fos_yielding": 2.081053401004603, + "deflection": 0.0038781368583898535, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.536)" + }, + "parent_node_id": "node_3104", + "improvement_over_parent": null + }, + "node_3106": { + "node_id": "node_3106", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3105", + "improvement_over_parent": null + }, + "node_3107": { + "node_id": "node_3107", + "content": "INITIAL DESIGN (Trace 447)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\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_3108": { + "node_id": "node_3108", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 227.30 kg\n Factor of Safety: 0.53\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": 227.29648658064048, + "fos_buckling": 0.5283758223581874, + "fos_yielding": 1.8183509820730588, + "deflection": 0.020818074314124458, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3107", + "improvement_over_parent": null + }, + "node_3109": { + "node_id": "node_3109", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 270.49 kg\n Factor of Safety: 1.03\n Max Deflection: 6.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 270.4945445180927, + "fos_buckling": 1.0264687570143383, + "fos_yielding": 2.3320456518250867, + "deflection": 0.006387070360383882, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3108", + "improvement_over_parent": null + }, + "node_3110": { + "node_id": "node_3110", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 275.71 kg\n Factor of Safety: 1.41\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": 275.7083745519068, + "fos_buckling": 1.414665605579671, + "fos_yielding": 2.041614013714616, + "deflection": 0.004335281497131351, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3109", + "improvement_over_parent": null + }, + "node_3111": { + "node_id": "node_3111", + "content": "MODIFICATION: Increase 0 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 285.29 kg\n Factor of Safety: 1.40\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 285.2921061125715, + "fos_buckling": 1.4020321525972568, + "fos_yielding": 2.0396578237756264, + "deflection": 0.004127236782627058, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.431)" + }, + "parent_node_id": "node_3110", + "improvement_over_parent": null + }, + "node_3112": { + "node_id": "node_3112", + "content": "MODIFICATION: Increase 3 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.226314140706, + "fos_buckling": 1.5229000669299342, + "fos_yielding": 2.0124467403596396, + "deflection": 0.004040699762147771, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.529)" + }, + "parent_node_id": "node_3111", + "improvement_over_parent": null + }, + "node_3113": { + "node_id": "node_3113", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3112", + "improvement_over_parent": null + }, + "node_3114": { + "node_id": "node_3114", + "content": "INITIAL DESIGN (Trace 448)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 210.63 kg\n Factor of Safety: 0.90\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": 210.63031615231, + "fos_buckling": 0.8971374919270745, + "fos_yielding": 1.1974468762940278, + "deflection": 0.005712322078416612, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3115": { + "node_id": "node_3115", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 216.55 kg\n Factor of Safety: 0.90\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": 216.55441604544947, + "fos_buckling": 0.8953379693105914, + "fos_yielding": 1.1979003701860809, + "deflection": 0.00565271292155225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.295)" + }, + "parent_node_id": "node_3114", + "improvement_over_parent": null + }, + "node_3116": { + "node_id": "node_3116", + "content": "MODIFICATION: Increase 2 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 223.11 kg\n Factor of Safety: 0.89\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": 223.106883417888, + "fos_buckling": 0.8925302276089573, + "fos_yielding": 1.1987014219013952, + "deflection": 0.005556736894907556, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.466)" + }, + "parent_node_id": "node_3115", + "improvement_over_parent": null + }, + "node_3117": { + "node_id": "node_3117", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 225.50 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": 225.4958427623563, + "fos_buckling": 0.9243549682630493, + "fos_yielding": 1.6623126355997735, + "deflection": 0.0054549221286354765, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.431)" + }, + "parent_node_id": "node_3116", + "improvement_over_parent": null + }, + "node_3118": { + "node_id": "node_3118", + "content": "MODIFICATION: Increase 9 thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 230.43 kg\n Factor of Safety: 0.95\n Max Deflection: 5.37e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 230.43128327358892, + "fos_buckling": 0.9535931397500161, + "fos_yielding": 1.648601869896488, + "deflection": 0.005368029969798027, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.253)" + }, + "parent_node_id": "node_3117", + "improvement_over_parent": null + }, + "node_3119": { + "node_id": "node_3119", + "content": "MODIFICATION: Increase 5 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 231.74 kg\n Factor of Safety: 0.97\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": 231.73542269122706, + "fos_buckling": 0.9730530763819499, + "fos_yielding": 1.6403432616385876, + "deflection": 0.005257069703538293, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.458)" + }, + "parent_node_id": "node_3118", + "improvement_over_parent": null + }, + "node_3120": { + "node_id": "node_3120", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 276.65 kg\n Factor of Safety: 1.14\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": 276.64779905041365, + "fos_buckling": 1.143085876676302, + "fos_yielding": 1.9557060278886842, + "deflection": 0.004412034597536091, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_3119", + "improvement_over_parent": null + }, + "node_3121": { + "node_id": "node_3121", + "content": "MODIFICATION: Increase 10 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29138851542444, + "fos_buckling": 1.523177066778782, + "fos_yielding": 2.014524505764136, + "deflection": 0.004039574953857229, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.653)" + }, + "parent_node_id": "node_3120", + "improvement_over_parent": null + }, + "node_3122": { + "node_id": "node_3122", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3121", + "improvement_over_parent": null + }, + "node_3123": { + "node_id": "node_3123", + "content": "INITIAL DESIGN (Trace 449)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0020)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0020)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0012)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0010)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0016)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0021)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0019)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0018)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0022)]\n\nPerformance:\n Mass: 103.84 kg\n Factor of Safety: 0.55\n Max Deflection: 1.13e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 103.841605551355, + "fos_buckling": 0.5506270457305616, + "fos_yielding": 0.7404542410988122, + "deflection": 0.011271802834687485, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3124": { + "node_id": "node_3124", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 125.28 kg\n Factor of Safety: 0.66\n Max Deflection: 9.35e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 125.28285905218651, + "fos_buckling": 0.6584540048513801, + "fos_yielding": 0.8927589389470784, + "deflection": 0.009354219554491863, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.214)" + }, + "parent_node_id": "node_3123", + "improvement_over_parent": null + }, + "node_3125": { + "node_id": "node_3125", + "content": "MODIFICATION: Increase 4 thickness by 34%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0025)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0026)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 126.06 kg\n Factor of Safety: 0.66\n Max Deflection: 9.26e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 126.05592864001268, + "fos_buckling": 0.65541790269414, + "fos_yielding": 0.8930245494967123, + "deflection": 0.009264953092294996, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.342)" + }, + "parent_node_id": "node_3124", + "improvement_over_parent": null + }, + "node_3126": { + "node_id": "node_3126", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0017)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0026)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0031)]\n\nPerformance:\n Mass: 148.99 kg\n Factor of Safety: 0.77\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.99362610862565, + "fos_buckling": 0.7675197399897764, + "fos_yielding": 1.054819342638806, + "deflection": 0.007849069864238141, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_3125", + "improvement_over_parent": null + }, + "node_3127": { + "node_id": "node_3127", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0022)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 194.41 kg\n Factor of Safety: 0.98\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": 194.40753486346267, + "fos_buckling": 0.9829804857110311, + "fos_yielding": 1.3745012737893236, + "deflection": 0.00603139364682184, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3126", + "improvement_over_parent": null + }, + "node_3128": { + "node_id": "node_3128", + "content": "MODIFICATION: Increase 2 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 199.99 kg\n Factor of Safety: 1.10\n Max Deflection: 5.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 199.9899792789558, + "fos_buckling": 1.1040186257286462, + "fos_yielding": 1.3754209899223981, + "deflection": 0.005892538123003805, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.490)" + }, + "parent_node_id": "node_3127", + "improvement_over_parent": null + }, + "node_3129": { + "node_id": "node_3129", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 258.70 kg\n Factor of Safety: 1.37\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": 258.6951633860522, + "fos_buckling": 1.374744866911589, + "fos_yielding": 1.7768092572760532, + "deflection": 0.004570925961485525, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_3128", + "improvement_over_parent": null + }, + "node_3130": { + "node_id": "node_3130", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3049547563711, + "fos_buckling": 1.5231953517154904, + "fos_yielding": 2.012951539330586, + "deflection": 0.00403965581533215, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_3129", + "improvement_over_parent": null + }, + "node_3131": { + "node_id": "node_3131", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3130", + "improvement_over_parent": null + }, + "node_3132": { + "node_id": "node_3132", + "content": "INITIAL DESIGN (Trace 450)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\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_3133": { + "node_id": "node_3133", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n\nPerformance:\n Mass: 229.89 kg\n Factor of Safety: 0.93\n Max Deflection: 6.48e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 229.88828040152077, + "fos_buckling": 0.9311408965345914, + "fos_yielding": 2.0611845302421345, + "deflection": 0.006477000255247822, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004695)" + }, + "parent_node_id": "node_3132", + "improvement_over_parent": null + }, + "node_3134": { + "node_id": "node_3134", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 259.75 kg\n Factor of Safety: 0.95\n Max Deflection: 6.47e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.74654664103156, + "fos_buckling": 0.9510928398497396, + "fos_yielding": 2.078856658825029, + "deflection": 0.006474845323407623, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004839)" + }, + "parent_node_id": "node_3133", + "improvement_over_parent": null + }, + "node_3135": { + "node_id": "node_3135", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 264.48 kg\n Factor of Safety: 1.24\n Max Deflection: 4.50e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 264.4781375869184, + "fos_buckling": 1.2354171186535383, + "fos_yielding": 1.8264211236115542, + "deflection": 0.004495823066445182, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002973)" + }, + "parent_node_id": "node_3134", + "improvement_over_parent": null + }, + "node_3136": { + "node_id": "node_3136", + "content": "MODIFICATION: Increase 4 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0052)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0035)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n\nPerformance:\n Mass: 266.05 kg\n Factor of Safety: 1.41\n Max Deflection: 4.45e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 266.0468317708948, + "fos_buckling": 1.4069944040149696, + "fos_yielding": 1.8270360869974906, + "deflection": 0.0044464364043526414, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.353)" + }, + "parent_node_id": "node_3135", + "improvement_over_parent": null + }, + "node_3137": { + "node_id": "node_3137", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1605386448656, + "fos_buckling": 1.5226209012474246, + "fos_yielding": 2.012005637358074, + "deflection": 0.00404154279912979, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.112)" + }, + "parent_node_id": "node_3136", + "improvement_over_parent": null + }, + "node_3138": { + "node_id": "node_3138", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3137", + "improvement_over_parent": null + }, + "node_3139": { + "node_id": "node_3139", + "content": "INITIAL DESIGN (Trace 451)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 177.64 kg\n Factor of Safety: 0.71\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.64069498174402, + "fos_buckling": 0.7121983767228268, + "fos_yielding": 1.483847512409704, + "deflection": 0.009086251737706191, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3140": { + "node_id": "node_3140", + "content": "MODIFICATION: Increase 7 thickness by 65%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0038)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 185.75 kg\n Factor of Safety: 0.71\n Max Deflection: 9.09e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 185.753196232309, + "fos_buckling": 0.7137718065732753, + "fos_yielding": 1.484919266026184, + "deflection": 0.009085941902056019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.653)" + }, + "parent_node_id": "node_3139", + "improvement_over_parent": null + }, + "node_3141": { + "node_id": "node_3141", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 236.66 kg\n Factor of Safety: 0.88\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": 236.6604792751956, + "fos_buckling": 0.8806452450750857, + "fos_yielding": 1.889140805351052, + "deflection": 0.007143540615693238, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.295)" + }, + "parent_node_id": "node_3140", + "improvement_over_parent": null + }, + "node_3142": { + "node_id": "node_3142", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n\nPerformance:\n Mass: 240.94 kg\n Factor of Safety: 1.30\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": 240.9434309386858, + "fos_buckling": 1.295300160793964, + "fos_yielding": 1.6554395266359252, + "deflection": 0.004902821917978026, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002669)" + }, + "parent_node_id": "node_3141", + "improvement_over_parent": null + }, + "node_3143": { + "node_id": "node_3143", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.38 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.380865774617, + "fos_buckling": 1.5234014907345128, + "fos_yielding": 2.013341783339749, + "deflection": 0.004038776050634451, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_3142", + "improvement_over_parent": null + }, + "node_3144": { + "node_id": "node_3144", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3143", + "improvement_over_parent": null + }, + "node_3145": { + "node_id": "node_3145", + "content": "INITIAL DESIGN (Trace 452)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\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_3146": { + "node_id": "node_3146", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 184.54 kg\n Factor of Safety: 0.03\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": 184.53888805363619, + "fos_buckling": 0.030935757134626134, + "fos_yielding": 0.11256456814882607, + "deflection": 562782178327453.3, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3145", + "improvement_over_parent": null + }, + "node_3147": { + "node_id": "node_3147", + "content": "MODIFICATION: Increase 5 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 186.14 kg\n Factor of Safety: 1.86\n Max Deflection: 1.95e+13 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 186.13946721375544, + "fos_buckling": 1.862202309736621, + "fos_yielding": 2.288071782940979, + "deflection": 19507490168048.18, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.486)" + }, + "parent_node_id": "node_3146", + "improvement_over_parent": null + }, + "node_3148": { + "node_id": "node_3148", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 219.05 kg\n Factor of Safety: 0.59\n Max Deflection: 7.83e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.05200384537244, + "fos_buckling": 0.5896569359821663, + "fos_yielding": 1.9026842018952594, + "deflection": 0.00783319590251901, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_3147", + "improvement_over_parent": null + }, + "node_3149": { + "node_id": "node_3149", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 262.25 kg\n Factor of Safety: 1.07\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": 262.2500617828247, + "fos_buckling": 1.072610044753053, + "fos_yielding": 2.288071782940979, + "deflection": 0.004851293144725467, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3148", + "improvement_over_parent": null + }, + "node_3150": { + "node_id": "node_3150", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22860783190106, + "fos_buckling": 1.5228740857486263, + "fos_yielding": 2.0124565300294788, + "deflection": 0.004040688633499489, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_3149", + "improvement_over_parent": null + }, + "node_3151": { + "node_id": "node_3151", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 453)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 221.33 kg\n Factor of Safety: 0.91\n Max Deflection: 6.18e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.32582999375535, + "fos_buckling": 0.9116026579963553, + "fos_yielding": 1.7973411581448517, + "deflection": 0.00618072267419599, + "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: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 244.23 kg\n Factor of Safety: 1.31\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": 244.23154349811657, + "fos_buckling": 1.307893903926594, + "fos_yielding": 1.809747018915708, + "deflection": 0.0048296374132285255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004383)" + }, + "parent_node_id": "node_3152", + "improvement_over_parent": null + }, + "node_3154": { + "node_id": "node_3154", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0083)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 262.35 kg\n Factor of Safety: 1.42\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": 262.3497713007188, + "fos_buckling": 1.4154630521765548, + "fos_yielding": 1.8422755718330914, + "deflection": 0.004533704876725247, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.522)" + }, + "parent_node_id": "node_3153", + "improvement_over_parent": null + }, + "node_3155": { + "node_id": "node_3155", + "content": "MODIFICATION: Increase 0 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0083)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 268.52 kg\n Factor of Safety: 1.39\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": 268.52135213507967, + "fos_buckling": 1.3886574667325013, + "fos_yielding": 1.8410440054437582, + "deflection": 0.004376634115317496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.280)" + }, + "parent_node_id": "node_3154", + "improvement_over_parent": null + }, + "node_3156": { + "node_id": "node_3156", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0095)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 303.36 kg\n Factor of Safety: 1.54\n Max Deflection: 3.88e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 303.360644096897, + "fos_buckling": 1.535158876373186, + "fos_yielding": 2.080059001560258, + "deflection": 0.003880824465042613, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3155", + "improvement_over_parent": null + }, + "node_3157": { + "node_id": "node_3157", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 454)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 172.81 kg\n Factor of Safety: 0.89\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": 172.8056666650502, + "fos_buckling": 0.8943530188666599, + "fos_yielding": 1.2918412163830257, + "deflection": 0.006874074327935236, + "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 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 178.83 kg\n Factor of Safety: 0.89\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": 178.83095237472727, + "fos_buckling": 0.8866875005569667, + "fos_yielding": 1.2906896431622499, + "deflection": 0.006545279788206393, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.414)" + }, + "parent_node_id": "node_3158", + "improvement_over_parent": null + }, + "node_3160": { + "node_id": "node_3160", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 198.37 kg\n Factor of Safety: 0.98\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": 198.36651085420894, + "fos_buckling": 0.9762958743702809, + "fos_yielding": 1.4307958168868031, + "deflection": 0.005907373983449065, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.116)" + }, + "parent_node_id": "node_3159", + "improvement_over_parent": null + }, + "node_3161": { + "node_id": "node_3161", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 223.55 kg\n Factor of Safety: 1.09\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": 223.5475991391228, + "fos_buckling": 1.0896989324124686, + "fos_yielding": 1.6111194852240263, + "deflection": 0.005249597324838321, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.136)" + }, + "parent_node_id": "node_3160", + "improvement_over_parent": null + }, + "node_3162": { + "node_id": "node_3162", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n\nPerformance:\n Mass: 247.33 kg\n Factor of Safety: 1.19\n Max Deflection: 4.75e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 247.3311456812645, + "fos_buckling": 1.1946358659869412, + "fos_yielding": 1.7811495233342707, + "deflection": 0.004751320441785931, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_3161", + "improvement_over_parent": null + }, + "node_3163": { + "node_id": "node_3163", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 284.33 kg\n Factor of Safety: 1.35\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": 284.3316056087958, + "fos_buckling": 1.3536924420911454, + "fos_yielding": 2.045102940742023, + "deflection": 0.004141858198554975, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.164)" + }, + "parent_node_id": "node_3162", + "improvement_over_parent": null + }, + "node_3164": { + "node_id": "node_3164", + "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.30 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29523510545033, + "fos_buckling": 1.5232321704741438, + "fos_yielding": 2.013001708530472, + "deflection": 0.004039806420244688, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.637)" + }, + "parent_node_id": "node_3163", + "improvement_over_parent": null + }, + "node_3165": { + "node_id": "node_3165", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3164", + "improvement_over_parent": null + }, + "node_3166": { + "node_id": "node_3166", + "content": "INITIAL DESIGN (Trace 455)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 170.43 kg\n Factor of Safety: 0.79\n Max Deflection: 8.28e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 170.42645748904073, + "fos_buckling": 0.7871064520014308, + "fos_yielding": 1.398333448839408, + "deflection": 0.008276682728797814, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3167": { + "node_id": "node_3167", + "content": "MODIFICATION: Increase 4 thickness by 49%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0039)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0034)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 171.96 kg\n Factor of Safety: 0.79\n Max Deflection: 8.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.95976047219116, + "fos_buckling": 0.7871064520014309, + "fos_yielding": 1.5820469270585344, + "deflection": 0.00817978065988515, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.488)" + }, + "parent_node_id": "node_3166", + "improvement_over_parent": null + }, + "node_3168": { + "node_id": "node_3168", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0029)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 209.99 kg\n Factor of Safety: 0.93\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": 209.99281020742487, + "fos_buckling": 0.9333647115365762, + "fos_yielding": 1.9303410743851597, + "deflection": 0.006702937293099818, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.238)" + }, + "parent_node_id": "node_3167", + "improvement_over_parent": null + }, + "node_3169": { + "node_id": "node_3169", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 249.32 kg\n Factor of Safety: 1.07\n Max Deflection: 5.65e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.32351031375995, + "fos_buckling": 1.0742184112895317, + "fos_yielding": 2.289832459146094, + "deflection": 0.005649071318949239, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.205)" + }, + "parent_node_id": "node_3168", + "improvement_over_parent": null + }, + "node_3170": { + "node_id": "node_3170", + "content": "MODIFICATION: Increase 1 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.47 kg\n Factor of Safety: 1.07\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": 262.4707107170639, + "fos_buckling": 1.0732506487920825, + "fos_yielding": 2.289832459146094, + "deflection": 0.0048467969249739, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.656)" + }, + "parent_node_id": "node_3169", + "improvement_over_parent": null + }, + "node_3171": { + "node_id": "node_3171", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.45 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4492567661403, + "fos_buckling": 1.5234864040508072, + "fos_yielding": 2.0141124073008565, + "deflection": 0.004037432941743583, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_3170", + "improvement_over_parent": null + }, + "node_3172": { + "node_id": "node_3172", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3171", + "improvement_over_parent": null + }, + "node_3173": { + "node_id": "node_3173", + "content": "INITIAL DESIGN (Trace 456)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 212.88 kg\n Factor of Safety: 0.41\n Max Deflection: 2.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.87625109044717, + "fos_buckling": 0.41388436198857537, + "fos_yielding": 1.6889506393076918, + "deflection": 0.022888770892467533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3174": { + "node_id": "node_3174", + "content": "MODIFICATION: Increase 7 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 217.12 kg\n Factor of Safety: 0.48\n Max Deflection: 2.24e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.11802520214889, + "fos_buckling": 0.47803389510800837, + "fos_yielding": 1.6886886481779786, + "deflection": 0.022433467649816005, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.198)" + }, + "parent_node_id": "node_3173", + "improvement_over_parent": null + }, + "node_3175": { + "node_id": "node_3175", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n\nPerformance:\n Mass: 249.07 kg\n Factor of Safety: 0.82\n Max Deflection: 6.96e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 249.07127494736224, + "fos_buckling": 0.8217658921206231, + "fos_yielding": 2.0576531136704, + "deflection": 0.006961046116420497, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004449)" + }, + "parent_node_id": "node_3174", + "improvement_over_parent": null + }, + "node_3176": { + "node_id": "node_3176", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n\nPerformance:\n Mass: 280.88 kg\n Factor of Safety: 0.91\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": 280.88266122117255, + "fos_buckling": 0.9118734138239538, + "fos_yielding": 2.3174127342486424, + "deflection": 0.006176929701247995, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_3175", + "improvement_over_parent": null + }, + "node_3177": { + "node_id": "node_3177", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 286.10 kg\n Factor of Safety: 1.37\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": 286.09649125498663, + "fos_buckling": 1.3681754845076322, + "fos_yielding": 2.0134749146125657, + "deflection": 0.0041655666272066025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3176", + "improvement_over_parent": null + }, + "node_3178": { + "node_id": "node_3178", + "content": "MODIFICATION: Increase 7 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0063)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 292.02 kg\n Factor of Safety: 1.37\n Max Deflection: 4.13e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 292.02042997438383, + "fos_buckling": 1.3661026327483317, + "fos_yielding": 2.0010663305839747, + "deflection": 0.0041269893955028815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.215)" + }, + "parent_node_id": "node_3177", + "improvement_over_parent": null + }, + "node_3179": { + "node_id": "node_3179", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3178", + "improvement_over_parent": null + }, + "node_3180": { + "node_id": "node_3180", + "content": "INITIAL DESIGN (Trace 457)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 228.27 kg\n Factor of Safety: 0.97\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": 228.2715460807978, + "fos_buckling": 0.9724558609044344, + "fos_yielding": 2.0293227692697626, + "deflection": 0.00546091717086019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3181": { + "node_id": "node_3181", + "content": "MODIFICATION: Increase 3 thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 232.46 kg\n Factor of Safety: 0.97\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": 232.46432502958623, + "fos_buckling": 0.9721759186329705, + "fos_yielding": 2.028793890309572, + "deflection": 0.005462455980529019, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.261)" + }, + "parent_node_id": "node_3180", + "improvement_over_parent": null + }, + "node_3182": { + "node_id": "node_3182", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 259.93 kg\n Factor of Safety: 1.38\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": 259.92690701752707, + "fos_buckling": 1.380174387981145, + "fos_yielding": 1.7853216474876497, + "deflection": 0.004549503391895584, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004578)" + }, + "parent_node_id": "node_3181", + "improvement_over_parent": null + }, + "node_3183": { + "node_id": "node_3183", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.05 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.04740337028676, + "fos_buckling": 1.5221245099528595, + "fos_yielding": 2.0113089164080655, + "deflection": 0.004043069692393324, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.140)" + }, + "parent_node_id": "node_3182", + "improvement_over_parent": null + }, + "node_3184": { + "node_id": "node_3184", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3183", + "improvement_over_parent": null + }, + "node_3185": { + "node_id": "node_3185", + "content": "INITIAL DESIGN (Trace 458)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0017)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 137.10 kg\n Factor of Safety: 0.66\n Max Deflection: 9.75e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 137.0990172318985, + "fos_buckling": 0.6568109790196864, + "fos_yielding": 1.38298993404959, + "deflection": 0.009748657802730508, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3186": { + "node_id": "node_3186", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 179.61 kg\n Factor of Safety: 0.83\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": 179.61082799884525, + "fos_buckling": 0.8307196748586133, + "fos_yielding": 1.810453948210999, + "deflection": 0.007468302108221716, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3185", + "improvement_over_parent": null + }, + "node_3187": { + "node_id": "node_3187", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n\nPerformance:\n Mass: 200.09 kg\n Factor of Safety: 0.88\n Max Deflection: 6.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 200.0903874976411, + "fos_buckling": 0.8835730900805131, + "fos_yielding": 1.810453948210999, + "deflection": 0.006112444385156532, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003884)" + }, + "parent_node_id": "node_3186", + "improvement_over_parent": null + }, + "node_3188": { + "node_id": "node_3188", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 253.08 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.0773806136998, + "fos_buckling": 1.0727321509057786, + "fos_yielding": 2.287977459515964, + "deflection": 0.004851271459672853, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_3187", + "improvement_over_parent": null + }, + "node_3189": { + "node_id": "node_3189", + "content": "MODIFICATION: Increase 3 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0063)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 256.94 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": 256.94149406063195, + "fos_buckling": 1.072732150905779, + "fos_yielding": 2.287977459515964, + "deflection": 0.004797723001797291, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.645)" + }, + "parent_node_id": "node_3188", + "improvement_over_parent": null + }, + "node_3190": { + "node_id": "node_3190", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0063)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 287.92 kg\n Factor of Safety: 1.35\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": 287.92004010970834, + "fos_buckling": 1.3538177328132333, + "fos_yielding": 2.044264746175287, + "deflection": 0.00409534903201432, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_3189", + "improvement_over_parent": null + }, + "node_3191": { + "node_id": "node_3191", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3190", + "improvement_over_parent": null + }, + "node_3192": { + "node_id": "node_3192", + "content": "INITIAL DESIGN (Trace 459)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0016)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 124.14 kg\n Factor of Safety: 0.71\n Max Deflection: 9.41e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.14105378089184, + "fos_buckling": 0.7129825700839092, + "fos_yielding": 0.8740428432013818, + "deflection": 0.00940704018285591, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3193": { + "node_id": "node_3193", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 153.48 kg\n Factor of Safety: 0.87\n Max Deflection: 7.62e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 153.47623774151845, + "fos_buckling": 0.865433105784913, + "fos_yielding": 1.079713180240698, + "deflection": 0.007622272107015642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.247)" + }, + "parent_node_id": "node_3192", + "improvement_over_parent": null + }, + "node_3194": { + "node_id": "node_3194", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0023)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0030)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 174.33 kg\n Factor of Safety: 0.97\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": 174.32777653742522, + "fos_buckling": 0.9701092327641581, + "fos_yielding": 1.2256977497026342, + "deflection": 0.0067188767384940016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.143)" + }, + "parent_node_id": "node_3193", + "improvement_over_parent": null + }, + "node_3195": { + "node_id": "node_3195", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 222.25 kg\n Factor of Safety: 1.20\n Max Deflection: 5.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 222.2487240106928, + "fos_buckling": 1.1991373823714326, + "fos_yielding": 1.5605397100539506, + "deflection": 0.005285159481410733, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.294)" + }, + "parent_node_id": "node_3194", + "improvement_over_parent": null + }, + "node_3196": { + "node_id": "node_3196", + "content": "MODIFICATION: Increase 3 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 225.60 kg\n Factor of Safety: 1.23\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": 225.60230237049046, + "fos_buckling": 1.225106495314714, + "fos_yielding": 1.550639359677116, + "deflection": 0.005231372573658024, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.233)" + }, + "parent_node_id": "node_3195", + "improvement_over_parent": null + }, + "node_3197": { + "node_id": "node_3197", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0044)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0030)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0047)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 265.05 kg\n Factor of Safety: 1.40\n Max Deflection: 4.46e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.05431368141103, + "fos_buckling": 1.4026782710705017, + "fos_yielding": 1.8201871052348872, + "deflection": 0.004462921150570258, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_3196", + "improvement_over_parent": null + }, + "node_3198": { + "node_id": "node_3198", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2725094027022, + "fos_buckling": 1.5231022877456997, + "fos_yielding": 2.012688469146927, + "deflection": 0.004040107784588131, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.117)" + }, + "parent_node_id": "node_3197", + "improvement_over_parent": null + }, + "node_3199": { + "node_id": "node_3199", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3198", + "improvement_over_parent": null + }, + "node_3200": { + "node_id": "node_3200", + "content": "INITIAL DESIGN (Trace 460)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 105.71 kg\n Factor of Safety: 0.52\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": 105.7131369525215, + "fos_buckling": 0.5172360919316259, + "fos_yielding": 0.9919524849007255, + "deflection": 0.01185069000846079, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3201": { + "node_id": "node_3201", + "content": "MODIFICATION: Increase 0 thickness by 35%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0013)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 109.39 kg\n Factor of Safety: 0.52\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": 109.39487857420617, + "fos_buckling": 0.5171042774428509, + "fos_yielding": 0.9919524849007255, + "deflection": 0.01139773026599606, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.346)" + }, + "parent_node_id": "node_3200", + "improvement_over_parent": null + }, + "node_3202": { + "node_id": "node_3202", + "content": "MODIFICATION: Increase 2 thickness by 61%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0021)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n\nPerformance:\n Mass: 113.55 kg\n Factor of Safety: 0.52\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": 113.55016689134585, + "fos_buckling": 0.5169555896142274, + "fos_yielding": 0.9919524849007255, + "deflection": 0.011099287223503505, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.610)" + }, + "parent_node_id": "node_3201", + "improvement_over_parent": null + }, + "node_3203": { + "node_id": "node_3203", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 148.83 kg\n Factor of Safety: 0.66\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 148.8267986712283, + "fos_buckling": 0.6611050860232986, + "fos_yielding": 1.2997481578316143, + "deflection": 0.008487411353470075, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.326)" + }, + "parent_node_id": "node_3202", + "improvement_over_parent": null + }, + "node_3204": { + "node_id": "node_3204", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0029)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 166.41 kg\n Factor of Safety: 0.94\n Max Deflection: 7.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 166.40844716404902, + "fos_buckling": 0.938407787293255, + "fos_yielding": 1.1453933728869197, + "deflection": 0.007067799432180573, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.002846)" + }, + "parent_node_id": "node_3203", + "improvement_over_parent": null + }, + "node_3205": { + "node_id": "node_3205", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0044)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0037)]\n\nPerformance:\n Mass: 213.09 kg\n Factor of Safety: 1.17\n Max Deflection: 5.53e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.08969060830563, + "fos_buckling": 1.1665475882920928, + "fos_yielding": 1.4651556618602743, + "deflection": 0.005534498125312832, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3204", + "improvement_over_parent": null + }, + "node_3206": { + "node_id": "node_3206", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 260.64 kg\n Factor of Safety: 1.38\n Max Deflection: 4.54e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.6422305672877, + "fos_buckling": 1.3833653328917472, + "fos_yielding": 1.790193902825806, + "deflection": 0.004537281745721312, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.242)" + }, + "parent_node_id": "node_3205", + "improvement_over_parent": null + }, + "node_3207": { + "node_id": "node_3207", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.37 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3746908749968, + "fos_buckling": 1.5235388643092997, + "fos_yielding": 2.0135268215564963, + "deflection": 0.004038702565577523, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_3206", + "improvement_over_parent": null + }, + "node_3208": { + "node_id": "node_3208", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3207", + "improvement_over_parent": null + }, + "node_3209": { + "node_id": "node_3209", + "content": "INITIAL DESIGN (Trace 461)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0045)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 253.09 kg\n Factor of Safety: 1.26\n Max Deflection: 4.78e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.09180342050726, + "fos_buckling": 1.2636400496372469, + "fos_yielding": 1.7762071697132573, + "deflection": 0.004780584838766447, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3210": { + "node_id": "node_3210", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.97 kg\n Factor of Safety: 1.39\n Max Deflection: 4.30e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.974363414155, + "fos_buckling": 1.3890124237328079, + "fos_yielding": 1.9772750239821342, + "deflection": 0.004296780899327015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.125)" + }, + "parent_node_id": "node_3209", + "improvement_over_parent": null + }, + "node_3211": { + "node_id": "node_3211", + "content": "MODIFICATION: Increase 1 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.72 kg\n Factor of Safety: 1.39\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": 291.715026318707, + "fos_buckling": 1.3859180581425405, + "fos_yielding": 2.0119734667624085, + "deflection": 0.004078669550775514, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.422)" + }, + "parent_node_id": "node_3210", + "improvement_over_parent": null + }, + "node_3212": { + "node_id": "node_3212", + "content": "MODIFICATION: Increase 4 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.23531356107895, + "fos_buckling": 1.5230130157647574, + "fos_yielding": 2.0125487059884435, + "deflection": 0.004040603926643027, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.302)" + }, + "parent_node_id": "node_3211", + "improvement_over_parent": null + }, + "node_3213": { + "node_id": "node_3213", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3212", + "improvement_over_parent": null + }, + "node_3214": { + "node_id": "node_3214", + "content": "INITIAL DESIGN (Trace 462)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 136.61 kg\n Factor of Safety: 0.13\n Max Deflection: 6.09e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 136.61251202429588, + "fos_buckling": 0.12606612344643353, + "fos_yielding": 0.28132684281909387, + "deflection": 60946228620200.89, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3215": { + "node_id": "node_3215", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n\nPerformance:\n Mass: 150.11 kg\n Factor of Safety: 0.41\n Max Deflection: 1.01e+14 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 150.11475072187346, + "fos_buckling": 0.4115798484635674, + "fos_yielding": 0.14066342140954693, + "deflection": 101388048161730.77, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.002583)" + }, + "parent_node_id": "node_3214", + "improvement_over_parent": null + }, + "node_3216": { + "node_id": "node_3216", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n\nPerformance:\n Mass: 180.73 kg\n Factor of Safety: 0.76\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.73285796555527, + "fos_buckling": 0.755310320710342, + "fos_yielding": 1.4312507797170246, + "deflection": 0.007113568553321449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.004251)" + }, + "parent_node_id": "node_3215", + "improvement_over_parent": null + }, + "node_3217": { + "node_id": "node_3217", + "content": "MODIFICATION: Increase 3 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n\nPerformance:\n Mass: 182.11 kg\n Factor of Safety: 0.76\n Max Deflection: 7.11e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 182.10823589987612, + "fos_buckling": 0.755310320710342, + "fos_yielding": 1.4312507797170246, + "deflection": 0.007113568553321449, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.299)" + }, + "parent_node_id": "node_3216", + "improvement_over_parent": null + }, + "node_3218": { + "node_id": "node_3218", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n\nPerformance:\n Mass: 212.21 kg\n Factor of Safety: 0.86\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": 212.21141065366106, + "fos_buckling": 0.8607525500735275, + "fos_yielding": 1.6664248999642186, + "deflection": 0.00611548196767174, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.178)" + }, + "parent_node_id": "node_3217", + "improvement_over_parent": null + }, + "node_3219": { + "node_id": "node_3219", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0041)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 239.38 kg\n Factor of Safety: 1.27\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": 239.38166351410808, + "fos_buckling": 1.2656958966734977, + "fos_yielding": 1.6777356562026684, + "deflection": 0.004904451051167629, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004369)" + }, + "parent_node_id": "node_3218", + "improvement_over_parent": null + }, + "node_3220": { + "node_id": "node_3220", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0050)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M9: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 289.98 kg\n Factor of Safety: 1.48\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": 289.9813175275773, + "fos_buckling": 1.4827643975584064, + "fos_yielding": 2.0296923514625953, + "deflection": 0.004060657829128454, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.232)" + }, + "parent_node_id": "node_3219", + "improvement_over_parent": null + }, + "node_3221": { + "node_id": "node_3221", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3220", + "improvement_over_parent": null + }, + "node_3222": { + "node_id": "node_3222", + "content": "INITIAL DESIGN (Trace 463)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\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_3223": { + "node_id": "node_3223", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n\nPerformance:\n Mass: 152.82 kg\n Factor of Safety: 0.60\n Max Deflection: 4.26e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.82255586018843, + "fos_buckling": 0.6014381725653192, + "fos_yielding": 1.1130050254065067, + "deflection": 42611070637783.59, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003487)" + }, + "parent_node_id": "node_3222", + "improvement_over_parent": null + }, + "node_3224": { + "node_id": "node_3224", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n\nPerformance:\n Mass: 180.41 kg\n Factor of Safety: 0.44\n Max Deflection: 9.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.40754862886564, + "fos_buckling": 0.4443601680243391, + "fos_yielding": 1.5985080528513527, + "deflection": 0.009697440196529171, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004441)" + }, + "parent_node_id": "node_3223", + "improvement_over_parent": null + }, + "node_3225": { + "node_id": "node_3225", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 215.29 kg\n Factor of Safety: 0.52\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": 215.29008297344038, + "fos_buckling": 0.5175746559620291, + "fos_yielding": 1.9033615564333846, + "deflection": 0.008140074981351069, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.212)" + }, + "parent_node_id": "node_3224", + "improvement_over_parent": null + }, + "node_3226": { + "node_id": "node_3226", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 246.27 kg\n Factor of Safety: 0.52\n Max Deflection: 7.50e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.26862902251673, + "fos_buckling": 0.5164747409716505, + "fos_yielding": 1.90120841706659, + "deflection": 0.007501652352159577, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_3225", + "improvement_over_parent": null + }, + "node_3227": { + "node_id": "node_3227", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 289.47 kg\n Factor of Safety: 1.50\n Max Deflection: 4.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 289.46668695996897, + "fos_buckling": 1.4963552602855463, + "fos_yielding": 2.011830383828403, + "deflection": 0.004077724893268193, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3226", + "improvement_over_parent": null + }, + "node_3228": { + "node_id": "node_3228", + "content": "MODIFICATION: Increase 2 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0058)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.51 kg\n Factor of Safety: 1.49\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": 293.5126277306124, + "fos_buckling": 1.4946801682900934, + "fos_yielding": 2.0024742415312393, + "deflection": 0.004048239974825642, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.186)" + }, + "parent_node_id": "node_3227", + "improvement_over_parent": null + }, + "node_3229": { + "node_id": "node_3229", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3228", + "improvement_over_parent": null + }, + "node_3230": { + "node_id": "node_3230", + "content": "INITIAL DESIGN (Trace 464)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 235.09 kg\n Factor of Safety: 0.87\n Max Deflection: 7.70e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.08952451311112, + "fos_buckling": 0.8662894440699471, + "fos_yielding": 1.9179666196055036, + "deflection": 0.007696364878780161, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3231": { + "node_id": "node_3231", + "content": "MODIFICATION: Increase all_members thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 275.88 kg\n Factor of Safety: 0.99\n Max Deflection: 6.56e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 275.8837678588506, + "fos_buckling": 0.9891317774345554, + "fos_yielding": 2.2478581156552098, + "deflection": 0.006560145662411891, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.190)" + }, + "parent_node_id": "node_3230", + "improvement_over_parent": null + }, + "node_3232": { + "node_id": "node_3232", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 279.89 kg\n Factor of Safety: 1.37\n Max Deflection: 4.39e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 279.886765950465, + "fos_buckling": 1.367520241263776, + "fos_yielding": 1.9728108069914743, + "deflection": 0.004393744177131303, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002482)" + }, + "parent_node_id": "node_3231", + "improvement_over_parent": null + }, + "node_3233": { + "node_id": "node_3233", + "content": "MODIFICATION: Increase 5 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0061)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 282.79 kg\n Factor of Safety: 1.34\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": 282.7932682928395, + "fos_buckling": 1.3394188287709845, + "fos_yielding": 2.5334641962287567, + "deflection": 0.004343286643903561, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.332)" + }, + "parent_node_id": "node_3232", + "improvement_over_parent": null + }, + "node_3234": { + "node_id": "node_3234", + "content": "MODIFICATION: Increase 1 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0061)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n\nPerformance:\n Mass: 294.66 kg\n Factor of Safety: 1.46\n Max Deflection: 4.06e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 294.6587461109452, + "fos_buckling": 1.4562734480502892, + "fos_yielding": 2.5904752830944306, + "deflection": 0.004056257097391406, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.562)" + }, + "parent_node_id": "node_3233", + "improvement_over_parent": null + }, + "node_3235": { + "node_id": "node_3235", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 465)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0021)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0022)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0014)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0018)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0014)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0012)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0017)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0023)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0020)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0019)]\n\nPerformance:\n Mass: 94.81 kg\n Factor of Safety: 0.23\n Max Deflection: 1.92e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 94.8073148922612, + "fos_buckling": 0.22924104444033241, + "fos_yielding": 0.6196363036332698, + "deflection": 0.019168876903717446, + "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 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0016)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0021)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0020)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0027)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0023)]\n\nPerformance:\n Mass: 111.97 kg\n Factor of Safety: 0.27\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": 111.97049434634998, + "fos_buckling": 0.2672828735671065, + "fos_yielding": 0.7313123784746886, + "deflection": 0.01624781121916972, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.188)" + }, + "parent_node_id": "node_3236", + "improvement_over_parent": null + }, + "node_3238": { + "node_id": "node_3238", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0031)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0019)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0033)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0028)]\n\nPerformance:\n Mass: 133.15 kg\n Factor of Safety: 0.31\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": 133.15046716062852, + "fos_buckling": 0.312780675943784, + "fos_yielding": 0.8689112224017734, + "deflection": 0.013681197077202131, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.198)" + }, + "parent_node_id": "node_3237", + "improvement_over_parent": null + }, + "node_3239": { + "node_id": "node_3239", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 171.87 kg\n Factor of Safety: 0.39\n Max Deflection: 1.06e-02 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.87066740785724, + "fos_buckling": 0.3918479431548776, + "fos_yielding": 1.1198474739260884, + "deflection": 0.010624449694494421, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.309)" + }, + "parent_node_id": "node_3238", + "improvement_over_parent": null + }, + "node_3240": { + "node_id": "node_3240", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0025)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 203.53 kg\n Factor of Safety: 1.07\n Max Deflection: 5.76e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.5345448890344, + "fos_buckling": 1.0707353124602481, + "fos_yielding": 1.431622651138024, + "deflection": 0.005763468516551233, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004328)" + }, + "parent_node_id": "node_3239", + "improvement_over_parent": null + }, + "node_3241": { + "node_id": "node_3241", + "content": "MODIFICATION: Increase all_members thickness by 11%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 225.38 kg\n Factor of Safety: 1.17\n Max Deflection: 5.21e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.37667646175578, + "fos_buckling": 1.173774780637356, + "fos_yielding": 1.584257804274068, + "deflection": 0.005211565967905998, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.115)" + }, + "parent_node_id": "node_3240", + "improvement_over_parent": null + }, + "node_3242": { + "node_id": "node_3242", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 230.62 kg\n Factor of Safety: 1.25\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": 230.62351321253277, + "fos_buckling": 1.2481558848650642, + "fos_yielding": 1.58506096333877, + "deflection": 0.005118932959180316, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.372)" + }, + "parent_node_id": "node_3241", + "improvement_over_parent": null + }, + "node_3243": { + "node_id": "node_3243", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.43 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.4344977810207, + "fos_buckling": 1.5236070976824763, + "fos_yielding": 2.0139028597229607, + "deflection": 0.00403788901246988, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3242", + "improvement_over_parent": null + }, + "node_3244": { + "node_id": "node_3244", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3243", + "improvement_over_parent": null + }, + "node_3245": { + "node_id": "node_3245", + "content": "INITIAL DESIGN (Trace 466)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0041)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0024)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 195.53 kg\n Factor of Safety: 0.69\n Max Deflection: 8.65e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.52663999797184, + "fos_buckling": 0.6887940489068227, + "fos_yielding": 1.6296835520194963, + "deflection": 0.008652217315507534, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3246": { + "node_id": "node_3246", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 241.17 kg\n Factor of Safety: 0.83\n Max Deflection: 7.02e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 241.17485247878983, + "fos_buckling": 0.8300623976125284, + "fos_yielding": 2.0064960344515876, + "deflection": 0.007023358799243952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.252)" + }, + "parent_node_id": "node_3245", + "improvement_over_parent": null + }, + "node_3247": { + "node_id": "node_3247", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 245.77 kg\n Factor of Safety: 1.17\n Max Deflection: 4.83e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 245.77004611845052, + "fos_buckling": 1.1710981744400883, + "fos_yielding": 1.7751685735754472, + "deflection": 0.004826622685879139, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002880)" + }, + "parent_node_id": "node_3246", + "improvement_over_parent": null + }, + "node_3248": { + "node_id": "node_3248", + "content": "MODIFICATION: Increase 10 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0035)]\n\nPerformance:\n Mass: 246.70 kg\n Factor of Safety: 1.17\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": 246.70075854643915, + "fos_buckling": 1.171744304769968, + "fos_yielding": 1.7717598390397902, + "deflection": 0.0047908067395033066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(10, thickness, 1.224)" + }, + "parent_node_id": "node_3247", + "improvement_over_parent": null + }, + "node_3249": { + "node_id": "node_3249", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n\nPerformance:\n Mass: 280.06 kg\n Factor of Safety: 1.31\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": 280.0613838467757, + "fos_buckling": 1.3110420274839614, + "fos_yielding": 2.009032809518729, + "deflection": 0.004227897284441285, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.148)" + }, + "parent_node_id": "node_3248", + "improvement_over_parent": null + }, + "node_3250": { + "node_id": "node_3250", + "content": "MODIFICATION: Increase 3 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0040)]\n\nPerformance:\n Mass: 286.72 kg\n Factor of Safety: 1.37\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": 286.7157900222832, + "fos_buckling": 1.3687530443500602, + "fos_yielding": 1.9862784819956976, + "deflection": 0.004143863252606562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.412)" + }, + "parent_node_id": "node_3249", + "improvement_over_parent": null + }, + "node_3251": { + "node_id": "node_3251", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3250", + "improvement_over_parent": null + }, + "node_3252": { + "node_id": "node_3252", + "content": "INITIAL DESIGN (Trace 467)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0028)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0027)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0029)]\n\nPerformance:\n Mass: 124.88 kg\n Factor of Safety: 0.33\n Max Deflection: 1.42e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 124.88107272804142, + "fos_buckling": 0.3275178435783718, + "fos_yielding": 0.9137241867734104, + "deflection": 0.014245628070661666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3253": { + "node_id": "node_3253", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0041)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0044)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n\nPerformance:\n Mass: 159.06 kg\n Factor of Safety: 0.41\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": 159.05554699778384, + "fos_buckling": 0.40516503759036765, + "fos_yielding": 1.1624497140370071, + "deflection": 0.01120750073886145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_3252", + "improvement_over_parent": null + }, + "node_3254": { + "node_id": "node_3254", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n\nPerformance:\n Mass: 191.62 kg\n Factor of Safety: 0.47\n Max Deflection: 9.32e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 191.61614356093932, + "fos_buckling": 0.47441597924121426, + "fos_yielding": 1.3989046532387936, + "deflection": 0.009320982501044704, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3253", + "improvement_over_parent": null + }, + "node_3255": { + "node_id": "node_3255", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 215.68 kg\n Factor of Safety: 0.52\n Max Deflection: 8.29e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 215.68216469865027, + "fos_buckling": 0.5226517966557328, + "fos_yielding": 1.5733439901800343, + "deflection": 0.008292711627050888, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.138)" + }, + "parent_node_id": "node_3254", + "improvement_over_parent": null + }, + "node_3256": { + "node_id": "node_3256", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 248.59 kg\n Factor of Safety: 0.52\n Max Deflection: 7.52e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 248.59470133026727, + "fos_buckling": 0.5214719392299488, + "fos_yielding": 1.572238109922898, + "deflection": 0.007522197340012802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_3255", + "improvement_over_parent": null + }, + "node_3257": { + "node_id": "node_3257", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.18 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.17663249821317, + "fos_buckling": 1.5228287284559712, + "fos_yielding": 2.0119834307359246, + "deflection": 0.00404139718223869, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3256", + "improvement_over_parent": null + }, + "node_3258": { + "node_id": "node_3258", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 173.84 kg\n Factor of Safety: 0.84\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": 173.84022195184534, + "fos_buckling": 0.8381080218723456, + "fos_yielding": 1.699426039721891, + "deflection": 0.007167208486722686, + "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 0 thickness by 47%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0042)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0035)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0045)]\n\nPerformance:\n Mass: 181.58 kg\n Factor of Safety: 0.84\n Max Deflection: 6.87e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.58376593950297, + "fos_buckling": 0.8376609212132753, + "fos_yielding": 1.699426039721891, + "deflection": 0.006866229315505483, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.473)" + }, + "parent_node_id": "node_3259", + "improvement_over_parent": null + }, + "node_3261": { + "node_id": "node_3261", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 210.44 kg\n Factor of Safety: 0.95\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": 210.44133054023035, + "fos_buckling": 0.9487083977940026, + "fos_yielding": 1.9676798802838604, + "deflection": 0.00593564789498533, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_3260", + "improvement_over_parent": null + }, + "node_3262": { + "node_id": "node_3262", + "content": "MODIFICATION: Increase 8 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n\nPerformance:\n Mass: 217.76 kg\n Factor of Safety: 0.95\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": 217.75551020186492, + "fos_buckling": 0.9482315010303767, + "fos_yielding": 1.9676798802838604, + "deflection": 0.005808429670456337, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.377)" + }, + "parent_node_id": "node_3261", + "improvement_over_parent": null + }, + "node_3263": { + "node_id": "node_3263", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n\nPerformance:\n Mass: 244.40 kg\n Factor of Safety: 1.16\n Max Deflection: 4.88e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.3979714027821, + "fos_buckling": 1.1644730676604704, + "fos_yielding": 1.733114676630532, + "deflection": 0.00487851794789028, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004430)" + }, + "parent_node_id": "node_3262", + "improvement_over_parent": null + }, + "node_3264": { + "node_id": "node_3264", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 284.33 kg\n Factor of Safety: 1.33\n Max Deflection: 4.20e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 284.3335349648357, + "fos_buckling": 1.328004660395112, + "fos_yielding": 2.0136679281475742, + "deflection": 0.004202222142815715, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.179)" + }, + "parent_node_id": "node_3263", + "improvement_over_parent": null + }, + "node_3265": { + "node_id": "node_3265", + "content": "MODIFICATION: Increase 7 thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.16 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.163706263755, + "fos_buckling": 1.522716093453604, + "fos_yielding": 2.012032466275259, + "deflection": 0.004041497377481025, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.282)" + }, + "parent_node_id": "node_3264", + "improvement_over_parent": null + }, + "node_3266": { + "node_id": "node_3266", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\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_3268": { + "node_id": "node_3268", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 195.89 kg\n Factor of Safety: 0.87\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 195.89068200051517, + "fos_buckling": 0.8667400434581705, + "fos_yielding": 1.602684588397859, + "deflection": 0.007842357531652957, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004345)" + }, + "parent_node_id": "node_3267", + "improvement_over_parent": null + }, + "node_3269": { + "node_id": "node_3269", + "content": "MODIFICATION: Increase 2 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n\nPerformance:\n Mass: 201.31 kg\n Factor of Safety: 0.87\n Max Deflection: 7.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 201.3123732634106, + "fos_buckling": 0.8664132797690254, + "fos_yielding": 1.602684588397859, + "deflection": 0.00784529872603579, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.368)" + }, + "parent_node_id": "node_3268", + "improvement_over_parent": null + }, + "node_3270": { + "node_id": "node_3270", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 226.76 kg\n Factor of Safety: 0.85\n Max Deflection: 7.84e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 226.76098447596127, + "fos_buckling": 0.8515962987146812, + "fos_yielding": 1.5865783735049803, + "deflection": 0.007835226746077834, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004216)" + }, + "parent_node_id": "node_3269", + "improvement_over_parent": null + }, + "node_3271": { + "node_id": "node_3271", + "content": "MODIFICATION: Increase 1 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 235.36 kg\n Factor of Safety: 0.89\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.35817323342735, + "fos_buckling": 0.8855753193493094, + "fos_yielding": 1.6140356106893416, + "deflection": 0.007145509513475186, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.458)" + }, + "parent_node_id": "node_3270", + "improvement_over_parent": null + }, + "node_3272": { + "node_id": "node_3272", + "content": "MODIFICATION: Increase 5 thickness by 19%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 236.56 kg\n Factor of Safety: 0.88\n Max Deflection: 7.15e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.56365168288067, + "fos_buckling": 0.8804249936690853, + "fos_yielding": 1.8878391237579673, + "deflection": 0.00714614644487277, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.186)" + }, + "parent_node_id": "node_3271", + "improvement_over_parent": null + }, + "node_3273": { + "node_id": "node_3273", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 288.05 kg\n Factor of Safety: 1.04\n Max Deflection: 5.88e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 288.0502855464492, + "fos_buckling": 1.0367717025195127, + "fos_yielding": 2.2953745823348903, + "deflection": 0.0058788477089856015, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_3272", + "improvement_over_parent": null + }, + "node_3274": { + "node_id": "node_3274", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.26 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.26411558026325, + "fos_buckling": 1.5231793913283918, + "fos_yielding": 2.011984001606059, + "deflection": 0.004040311061442196, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3273", + "improvement_over_parent": null + }, + "node_3275": { + "node_id": "node_3275", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3274", + "improvement_over_parent": null + }, + "node_3276": { + "node_id": "node_3276", + "content": "INITIAL DESIGN (Trace 470)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 152.41 kg\n Factor of Safety: 0.39\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": 152.40979901570077, + "fos_buckling": 0.3887704921854079, + "fos_yielding": 1.0450262866902709, + "deflection": 0.011713938746844666, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3277": { + "node_id": "node_3277", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 197.30 kg\n Factor of Safety: 0.49\n Max Deflection: 9.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 197.30374040132028, + "fos_buckling": 0.4864570117786162, + "fos_yielding": 1.3553460794039947, + "deflection": 0.009072348943990014, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.316)" + }, + "parent_node_id": "node_3276", + "improvement_over_parent": null + }, + "node_3278": { + "node_id": "node_3278", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0033)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 221.67 kg\n Factor of Safety: 0.54\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": 221.6746366216763, + "fos_buckling": 0.5363278764652861, + "fos_yielding": 1.5244098219222364, + "deflection": 0.008086423487832773, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3277", + "improvement_over_parent": null + }, + "node_3279": { + "node_id": "node_3279", + "content": "MODIFICATION: Increase 6 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n\nPerformance:\n Mass: 223.18 kg\n Factor of Safety: 0.54\n Max Deflection: 8.05e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 223.1804653548436, + "fos_buckling": 0.5363278764652861, + "fos_yielding": 1.6989000119902415, + "deflection": 0.008047066424950289, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.221)" + }, + "parent_node_id": "node_3278", + "improvement_over_parent": null + }, + "node_3280": { + "node_id": "node_3280", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 250.39 kg\n Factor of Safety: 0.59\n Max Deflection: 7.18e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 250.39216235888262, + "fos_buckling": 0.5890865524237923, + "fos_yielding": 1.9032406630685677, + "deflection": 0.007183814196020634, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3279", + "improvement_over_parent": null + }, + "node_3281": { + "node_id": "node_3281", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.59 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.59022029633485, + "fos_buckling": 1.524662406210253, + "fos_yielding": 2.01569814645853, + "deflection": 0.004035858333156825, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3280", + "improvement_over_parent": null + }, + "node_3282": { + "node_id": "node_3282", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3281", + "improvement_over_parent": null + }, + "node_3283": { + "node_id": "node_3283", + "content": "INITIAL DESIGN (Trace 471)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 238.03 kg\n Factor of Safety: 0.59\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": 238.02686824502524, + "fos_buckling": 0.5889303541040088, + "fos_yielding": 1.7298214167482717, + "deflection": 0.007354193224250881, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3284": { + "node_id": "node_3284", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 281.22 kg\n Factor of Safety: 1.43\n Max Deflection: 4.34e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.2249261824775, + "fos_buckling": 1.4251922695576913, + "fos_yielding": 2.0216757512163985, + "deflection": 0.004343001845549094, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3283", + "improvement_over_parent": null + }, + "node_3285": { + "node_id": "node_3285", + "content": "MODIFICATION: Increase 0 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 292.22 kg\n Factor of Safety: 1.51\n Max Deflection: 4.08e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 292.21579930766177, + "fos_buckling": 1.5068908274606985, + "fos_yielding": 2.018571446561904, + "deflection": 0.004084960138584105, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.524)" + }, + "parent_node_id": "node_3284", + "improvement_over_parent": null + }, + "node_3286": { + "node_id": "node_3286", + "content": "MODIFICATION: Increase 5 thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2420428404496, + "fos_buckling": 1.5229002279887351, + "fos_yielding": 2.0124344333005855, + "deflection": 0.004040412026708321, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.269)" + }, + "parent_node_id": "node_3285", + "improvement_over_parent": null + }, + "node_3287": { + "node_id": "node_3287", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3286", + "improvement_over_parent": null + }, + "node_3288": { + "node_id": "node_3288", + "content": "INITIAL DESIGN (Trace 472)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 218.90 kg\n Factor of Safety: 0.69\n Max Deflection: 6.26e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 218.8991375775251, + "fos_buckling": 0.6946865642801928, + "fos_yielding": 1.4606899674052989, + "deflection": 0.006256849785442855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3289": { + "node_id": "node_3289", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 244.93 kg\n Factor of Safety: 0.77\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": 244.93394709599514, + "fos_buckling": 0.768792021609743, + "fos_yielding": 1.6386139369168475, + "deflection": 0.005595511010220077, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.130)" + }, + "parent_node_id": "node_3288", + "improvement_over_parent": null + }, + "node_3290": { + "node_id": "node_3290", + "content": "MODIFICATION: Increase 9 thickness by 52%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 259.35 kg\n Factor of Safety: 1.07\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": 259.3460970479274, + "fos_buckling": 1.0724876360250544, + "fos_yielding": 1.6386139369168475, + "deflection": 0.00485255598676441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.524)" + }, + "parent_node_id": "node_3289", + "improvement_over_parent": null + }, + "node_3291": { + "node_id": "node_3291", + "content": "MODIFICATION: Increase 6 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.18 kg\n Factor of Safety: 1.07\n Max Deflection: 4.85e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.17603030472117, + "fos_buckling": 1.0724876360250544, + "fos_yielding": 2.2879506136794174, + "deflection": 0.00485255598676441, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.435)" + }, + "parent_node_id": "node_3290", + "improvement_over_parent": null + }, + "node_3292": { + "node_id": "node_3292", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.15 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.15457635379755, + "fos_buckling": 1.5227689119204744, + "fos_yielding": 2.012325527823297, + "deflection": 0.004041676352292586, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_3291", + "improvement_over_parent": null + }, + "node_3293": { + "node_id": "node_3293", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3292", + "improvement_over_parent": null + }, + "node_3294": { + "node_id": "node_3294", + "content": "INITIAL DESIGN (Trace 473)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 167.30 kg\n Factor of Safety: 0.38\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": 167.300815018224, + "fos_buckling": 0.376815553416085, + "fos_yielding": 1.071161315039723, + "deflection": 0.011110431007077379, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3295": { + "node_id": "node_3295", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 202.90 kg\n Factor of Safety: 0.44\n Max Deflection: 9.18e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 202.89568838801208, + "fos_buckling": 0.4446408464228808, + "fos_yielding": 1.2974650075763141, + "deflection": 0.00917967981714366, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.229)" + }, + "parent_node_id": "node_3294", + "improvement_over_parent": null + }, + "node_3296": { + "node_id": "node_3296", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 239.61 kg\n Factor of Safety: 1.02\n Max Deflection: 4.97e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 239.61303531761445, + "fos_buckling": 1.0162550718526806, + "fos_yielding": 1.6322342059054926, + "deflection": 0.0049746561299392825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.005072)" + }, + "parent_node_id": "node_3295", + "improvement_over_parent": null + }, + "node_3297": { + "node_id": "node_3297", + "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0047)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 241.57 kg\n Factor of Safety: 1.30\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": 241.57171799806505, + "fos_buckling": 1.2980427304818518, + "fos_yielding": 1.659935142783943, + "deflection": 0.004890087188223475, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.548)" + }, + "parent_node_id": "node_3296", + "improvement_over_parent": null + }, + "node_3298": { + "node_id": "node_3298", + "content": "MODIFICATION: Increase all_members thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.27 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.26711142307033, + "fos_buckling": 1.5228175707643388, + "fos_yielding": 2.012806575172334, + "deflection": 0.0040401856565914045, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.235)" + }, + "parent_node_id": "node_3297", + "improvement_over_parent": null + }, + "node_3299": { + "node_id": "node_3299", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3298", + "improvement_over_parent": null + }, + "node_3300": { + "node_id": "node_3300", + "content": "INITIAL DESIGN (Trace 474)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 176.55 kg\n Factor of Safety: 0.71\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": 176.5502078937074, + "fos_buckling": 0.7097541826434558, + "fos_yielding": 1.3226472549614028, + "deflection": 0.007541647972293519, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3301": { + "node_id": "node_3301", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n\nPerformance:\n Mass: 193.65 kg\n Factor of Safety: 1.07\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": 193.65348559214948, + "fos_buckling": 1.0733878494971953, + "fos_yielding": 1.3320613377423693, + "deflection": 0.006083044935044127, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003205)" + }, + "parent_node_id": "node_3300", + "improvement_over_parent": null + }, + "node_3302": { + "node_id": "node_3302", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0049)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0041)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0052)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0044)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0053)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 251.55 kg\n Factor of Safety: 1.34\n Max Deflection: 4.70e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.54547478356497, + "fos_buckling": 1.343076141754537, + "fos_yielding": 1.728017683388031, + "deflection": 0.004698852597926415, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.323)" + }, + "parent_node_id": "node_3301", + "improvement_over_parent": null + }, + "node_3303": { + "node_id": "node_3303", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2223127205812, + "fos_buckling": 1.5228793993274783, + "fos_yielding": 2.0124300384036866, + "deflection": 0.004040738749623, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.182)" + }, + "parent_node_id": "node_3302", + "improvement_over_parent": null + }, + "node_3304": { + "node_id": "node_3304", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3303", + "improvement_over_parent": null + }, + "node_3305": { + "node_id": "node_3305", + "content": "INITIAL DESIGN (Trace 475)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 262.04 kg\n Factor of Safety: 1.18\n Max Deflection: 4.69e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.03931184071826, + "fos_buckling": 1.1785640778890014, + "fos_yielding": 1.967744187987274, + "deflection": 0.0046858054421942295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3306": { + "node_id": "node_3306", + "content": "MODIFICATION: Increase 7 thickness by 43%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 274.23 kg\n Factor of Safety: 1.33\n Max Deflection: 4.42e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 274.2251008904134, + "fos_buckling": 1.332284386167713, + "fos_yielding": 1.9655884077128007, + "deflection": 0.004421816315368078, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.431)" + }, + "parent_node_id": "node_3305", + "improvement_over_parent": null + }, + "node_3307": { + "node_id": "node_3307", + "content": "MODIFICATION: Increase 8 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0027)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 279.34 kg\n Factor of Safety: 1.31\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": 279.3363805179489, + "fos_buckling": 1.3143292254736532, + "fos_yielding": 1.9660302836974304, + "deflection": 0.004379703690482266, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.202)" + }, + "parent_node_id": "node_3306", + "improvement_over_parent": null + }, + "node_3308": { + "node_id": "node_3308", + "content": "MODIFICATION: Increase 4 thickness by 40%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0037)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 281.23 kg\n Factor of Safety: 1.46\n Max Deflection: 4.33e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 281.2312251187532, + "fos_buckling": 1.4631996734994168, + "fos_yielding": 1.9666972734738124, + "deflection": 0.004329677705192399, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.403)" + }, + "parent_node_id": "node_3307", + "improvement_over_parent": null + }, + "node_3309": { + "node_id": "node_3309", + "content": "MODIFICATION: Increase 1 thickness by 57%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22246428632116, + "fos_buckling": 1.522966534728942, + "fos_yielding": 2.012411304970026, + "deflection": 0.004040684795456039, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.570)" + }, + "parent_node_id": "node_3308", + "improvement_over_parent": null + }, + "node_3310": { + "node_id": "node_3310", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3309", + "improvement_over_parent": null + }, + "node_3311": { + "node_id": "node_3311", + "content": "INITIAL DESIGN (Trace 476)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.74 kg\n Factor of Safety: 0.87\n Max Deflection: 7.29e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 231.7355910974858, + "fos_buckling": 0.8651038255061494, + "fos_yielding": 1.8502575165507833, + "deflection": 0.007293487248952911, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3312": { + "node_id": "node_3312", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 235.03 kg\n Factor of Safety: 1.25\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.02930142025693, + "fos_buckling": 1.2516871120397048, + "fos_yielding": 1.6268324919778028, + "deflection": 0.005067214726878198, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002017)" + }, + "parent_node_id": "node_3311", + "improvement_over_parent": null + }, + "node_3313": { + "node_id": "node_3313", + "content": "MODIFICATION: Increase 5 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0040)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0047)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 237.17 kg\n Factor of Safety: 1.22\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": 237.17227301518395, + "fos_buckling": 1.2239149845828032, + "fos_yielding": 2.0492019778377544, + "deflection": 0.0050175766348188895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.294)" + }, + "parent_node_id": "node_3312", + "improvement_over_parent": null + }, + "node_3314": { + "node_id": "node_3314", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0059)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 294.79 kg\n Factor of Safety: 1.49\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": 294.78786689986003, + "fos_buckling": 1.4893612511171772, + "fos_yielding": 2.528655391433399, + "deflection": 0.004049187215546088, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.267)" + }, + "parent_node_id": "node_3313", + "improvement_over_parent": null + }, + "node_3315": { + "node_id": "node_3315", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n\nPerformance:\n Mass: 177.69 kg\n Factor of Safety: 0.68\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": 177.68666246383594, + "fos_buckling": 0.6775550760706137, + "fos_yielding": 1.0873737824954368, + "deflection": 0.009366275040284004, + "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0010)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 180.95 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": 180.9494451730271, + "fos_buckling": 0.5390140241479211, + "fos_yielding": 0.8273064524594134, + "deflection": 0.006700123139412368, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001997)" + }, + "parent_node_id": "node_3316", + "improvement_over_parent": null + }, + "node_3318": { + "node_id": "node_3318", + "content": "MODIFICATION: Increase 4 thickness by 55%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0030)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0028)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0033)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0038)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0020)]\n\nPerformance:\n Mass: 181.95 kg\n Factor of Safety: 0.78\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": 181.94674937469117, + "fos_buckling": 0.7810416006723515, + "fos_yielding": 1.226424964721324, + "deflection": 0.0065324030900847235, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.548)" + }, + "parent_node_id": "node_3317", + "improvement_over_parent": null + }, + "node_3319": { + "node_id": "node_3319", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0040)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0035)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0034)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0032)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0043)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0023)]\n\nPerformance:\n Mass: 207.42 kg\n Factor of Safety: 0.88\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": 207.41562455194705, + "fos_buckling": 0.8832334744099288, + "fos_yielding": 1.400248023008254, + "deflection": 0.005738240975872801, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_3318", + "improvement_over_parent": null + }, + "node_3320": { + "node_id": "node_3320", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0019)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 233.29 kg\n Factor of Safety: 0.99\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": 233.28617956505832, + "fos_buckling": 0.9852359519938284, + "fos_yielding": 1.5774934825309268, + "deflection": 0.005109066796975151, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.134)" + }, + "parent_node_id": "node_3319", + "improvement_over_parent": null + }, + "node_3321": { + "node_id": "node_3321", + "content": "MODIFICATION: Increase 4 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n\nPerformance:\n Mass: 235.23 kg\n Factor of Safety: 1.27\n Max Deflection: 5.02e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 235.23024201020252, + "fos_buckling": 1.269400244848997, + "fos_yielding": 1.6164981973228396, + "deflection": 0.005019961138413016, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.562)" + }, + "parent_node_id": "node_3320", + "improvement_over_parent": null + }, + "node_3322": { + "node_id": "node_3322", + "content": "MODIFICATION: Increase all_members thickness by 27%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.29 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.29111070704823, + "fos_buckling": 1.5231386339289072, + "fos_yielding": 2.0128565382483488, + "deflection": 0.004039776876252967, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.271)" + }, + "parent_node_id": "node_3321", + "improvement_over_parent": null + }, + "node_3323": { + "node_id": "node_3323", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3322", + "improvement_over_parent": null + }, + "node_3324": { + "node_id": "node_3324", + "content": "INITIAL DESIGN (Trace 478)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0033)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0022)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0036)]\n\nPerformance:\n Mass: 156.57 kg\n Factor of Safety: 0.69\n Max Deflection: 8.07e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 156.56692675534902, + "fos_buckling": 0.6916803787481431, + "fos_yielding": 1.367214279274061, + "deflection": 0.008071820522380353, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3325": { + "node_id": "node_3325", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n\nPerformance:\n Mass: 177.81 kg\n Factor of Safety: 0.77\n Max Deflection: 7.12e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 177.81494468744452, + "fos_buckling": 0.7737663407392843, + "fos_yielding": 1.5524929841049377, + "deflection": 0.007116857853493114, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3324", + "improvement_over_parent": null + }, + "node_3326": { + "node_id": "node_3326", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n\nPerformance:\n Mass: 198.83 kg\n Factor of Safety: 1.10\n Max Deflection: 5.93e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 198.83207735370348, + "fos_buckling": 1.0984735223860382, + "fos_yielding": 1.367416790365593, + "deflection": 0.005926551325873044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003436)" + }, + "parent_node_id": "node_3325", + "improvement_over_parent": null + }, + "node_3327": { + "node_id": "node_3327", + "content": "MODIFICATION: Increase all_members thickness by 16%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 228.32 kg\n Factor of Safety: 1.24\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": 228.32198412007529, + "fos_buckling": 1.2376993969418366, + "fos_yielding": 1.5691825486878435, + "deflection": 0.005169943153273051, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.159)" + }, + "parent_node_id": "node_3326", + "improvement_over_parent": null + }, + "node_3328": { + "node_id": "node_3328", + "content": "MODIFICATION: Increase all_members thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.02 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.0164150640806, + "fos_buckling": 1.5220430448922069, + "fos_yielding": 2.010874775577488, + "deflection": 0.004043630197749664, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.311)" + }, + "parent_node_id": "node_3327", + "improvement_over_parent": null + }, + "node_3329": { + "node_id": "node_3329", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3328", + "improvement_over_parent": null + }, + "node_3330": { + "node_id": "node_3330", + "content": "INITIAL DESIGN (Trace 479)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0015)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0032)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0027)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0021)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0018)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0025)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0034)]\n\nPerformance:\n Mass: 120.32 kg\n Factor of Safety: 0.62\n Max Deflection: 1.29e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 120.32102791853292, + "fos_buckling": 0.621819833503295, + "fos_yielding": 1.0359188950584275, + "deflection": 0.01287552972328499, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3331": { + "node_id": "node_3331", + "content": "MODIFICATION: Increase all_members thickness by 18%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 141.15 kg\n Factor of Safety: 0.72\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.1526266019506, + "fos_buckling": 0.7162805075370814, + "fos_yielding": 1.2188447428084643, + "deflection": 0.01097558196989125, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.183)" + }, + "parent_node_id": "node_3330", + "improvement_over_parent": null + }, + "node_3332": { + "node_id": "node_3332", + "content": "MODIFICATION: Increase 0 thickness by 38%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n\nPerformance:\n Mass: 145.27 kg\n Factor of Safety: 0.72\n Max Deflection: 9.84e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 145.26926894031095, + "fos_buckling": 0.716076872520459, + "fos_yielding": 1.5236619433853533, + "deflection": 0.009843862449584283, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.383)" + }, + "parent_node_id": "node_3331", + "improvement_over_parent": null + }, + "node_3333": { + "node_id": "node_3333", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0025)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0040)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n\nPerformance:\n Mass: 167.18 kg\n Factor of Safety: 0.76\n Max Deflection: 7.61e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 167.18279736825062, + "fos_buckling": 0.7615585481975513, + "fos_yielding": 1.5236619433853533, + "deflection": 0.007606459977932711, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003472)" + }, + "parent_node_id": "node_3332", + "improvement_over_parent": null + }, + "node_3334": { + "node_id": "node_3334", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0050)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0043)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0039)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0053)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0054)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n\nPerformance:\n Mass: 217.56 kg\n Factor of Safety: 0.95\n Max Deflection: 5.86e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 217.56055616062076, + "fos_buckling": 0.953602231855961, + "fos_yielding": 1.9807593368235716, + "deflection": 0.005862126684742639, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.325)" + }, + "parent_node_id": "node_3333", + "improvement_over_parent": null + }, + "node_3335": { + "node_id": "node_3335", + "content": "MODIFICATION: Increase all_members thickness by 17%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 251.53 kg\n Factor of Safety: 1.07\n Max Deflection: 5.08e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.5333318772063, + "fos_buckling": 1.0735098719176028, + "fos_yielding": 2.2884171158368125, + "deflection": 0.005080242455075596, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.171)" + }, + "parent_node_id": "node_3334", + "improvement_over_parent": null + }, + "node_3336": { + "node_id": "node_3336", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 282.51 kg\n Factor of Safety: 1.50\n Max Deflection: 4.28e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.5118779262827, + "fos_buckling": 1.495077909113981, + "fos_yielding": 2.0152497993425404, + "deflection": 0.0042844433324001055, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.005222)" + }, + "parent_node_id": "node_3335", + "improvement_over_parent": null + }, + "node_3337": { + "node_id": "node_3337", + "content": "MODIFICATION: Increase 0 thickness by 51%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0058)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 293.33 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.32639840817245, + "fos_buckling": 1.5230375251459236, + "fos_yielding": 2.012753053413838, + "deflection": 0.00403927179892475, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.511)" + }, + "parent_node_id": "node_3336", + "improvement_over_parent": null + }, + "node_3338": { + "node_id": "node_3338", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3337", + "improvement_over_parent": null + }, + "node_3339": { + "node_id": "node_3339", + "content": "INITIAL DESIGN (Trace 480)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0018)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0010)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0019)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0020)]\n\nPerformance:\n Mass: 81.43 kg\n Factor of Safety: 0.38\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": 81.42543165073548, + "fos_buckling": 0.38250715670039476, + "fos_yielding": 0.76785622279135, + "deflection": 0.01749003022028322, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3340": { + "node_id": "node_3340", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0018)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0018)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0012)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0010)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0019)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0017)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0016)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0020)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0015)]\n\nPerformance:\n Mass: 89.59 kg\n Factor of Safety: 0.38\n Max Deflection: 1.48e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.59499171251451, + "fos_buckling": 0.38229057582036485, + "fos_yielding": 0.6726525392670003, + "deflection": 0.014781001962920851, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.001534)" + }, + "parent_node_id": "node_3339", + "improvement_over_parent": null + }, + "node_3341": { + "node_id": "node_3341", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0024)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0024)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0016)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0019)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0022)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0021)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0026)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0020)]\n\nPerformance:\n Mass: 115.44 kg\n Factor of Safety: 0.48\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": 115.44421822368945, + "fos_buckling": 0.48408703034946743, + "fos_yielding": 0.8661772117186967, + "deflection": 0.011489806696551117, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.299)" + }, + "parent_node_id": "node_3340", + "improvement_over_parent": null + }, + "node_3342": { + "node_id": "node_3342", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0027)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n\nPerformance:\n Mass: 141.83 kg\n Factor of Safety: 0.58\n Max Deflection: 9.37e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 141.82650048544537, + "fos_buckling": 0.5840949012680223, + "fos_yielding": 1.063442515522657, + "deflection": 0.009367809540514903, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.239)" + }, + "parent_node_id": "node_3341", + "improvement_over_parent": null + }, + "node_3343": { + "node_id": "node_3343", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0037)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0038)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0035)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0041)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 179.29 kg\n Factor of Safety: 0.72\n Max Deflection: 7.43e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 179.2918328865043, + "fos_buckling": 0.7194064874065974, + "fos_yielding": 1.3431445072907793, + "deflection": 0.007427488065522722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3342", + "improvement_over_parent": null + }, + "node_3344": { + "node_id": "node_3344", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0043)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n\nPerformance:\n Mass: 216.31 kg\n Factor of Safety: 0.85\n Max Deflection: 6.17e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.3091218898667, + "fos_buckling": 0.8454181960432293, + "fos_yielding": 1.6190032608892175, + "deflection": 0.006170499755710825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.222)" + }, + "parent_node_id": "node_3343", + "improvement_over_parent": null + }, + "node_3345": { + "node_id": "node_3345", + "content": "MODIFICATION: Increase all_members thickness by 26%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 267.14 kg\n Factor of Safety: 1.01\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 267.1404050718079, + "fos_buckling": 1.006115414782196, + "fos_yielding": 1.9970014236400815, + "deflection": 0.005012046295588926, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.258)" + }, + "parent_node_id": "node_3344", + "improvement_over_parent": null + }, + "node_3346": { + "node_id": "node_3346", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.04 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.03784221419767, + "fos_buckling": 1.52201265930651, + "fos_yielding": 2.011117590766477, + "deflection": 0.004043288211523647, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_3345", + "improvement_over_parent": null + }, + "node_3347": { + "node_id": "node_3347", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3346", + "improvement_over_parent": null + }, + "node_3348": { + "node_id": "node_3348", + "content": "INITIAL DESIGN (Trace 481)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (6 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\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_3349": { + "node_id": "node_3349", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n\nPerformance:\n Mass: 152.51 kg\n Factor of Safety: 0.57\n Max Deflection: 3.98e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 152.50755908472667, + "fos_buckling": 0.5681053048558735, + "fos_yielding": 1.9071036408850255, + "deflection": 39782317632336.695, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.004475)" + }, + "parent_node_id": "node_3348", + "improvement_over_parent": null + }, + "node_3350": { + "node_id": "node_3350", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 174.37 kg\n Factor of Safety: 0.34\n Max Deflection: 2.85e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.36880249709418, + "fos_buckling": 0.3418654223315282, + "fos_yielding": 0.5373398379405104, + "deflection": 28512341078163.02, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004167)" + }, + "parent_node_id": "node_3349", + "improvement_over_parent": null + }, + "node_3351": { + "node_id": "node_3351", + "content": "MODIFICATION: Increase 1 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n\nPerformance:\n Mass: 184.89 kg\n Factor of Safety: 0.45\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": 184.89052437211296, + "fos_buckling": 0.4544842438846988, + "fos_yielding": 1.6214195639756264, + "deflection": 7928274105535.984, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.595)" + }, + "parent_node_id": "node_3350", + "improvement_over_parent": null + }, + "node_3352": { + "node_id": "node_3352", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 219.06 kg\n Factor of Safety: 0.34\n Max Deflection: 2.86e+13 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 219.06253872230522, + "fos_buckling": 0.336759008970166, + "fos_yielding": 1.7979933367863532, + "deflection": 28588075670221.906, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_3351", + "improvement_over_parent": null + }, + "node_3353": { + "node_id": "node_3353", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 224.28 kg\n Factor of Safety: 0.96\n Max Deflection: 7.73e+12 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 224.27636875611933, + "fos_buckling": 0.9582499489872086, + "fos_yielding": 2.250614742552751, + "deflection": 7733265427506.677, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3352", + "improvement_over_parent": null + }, + "node_3354": { + "node_id": "node_3354", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 268.86 kg\n Factor of Safety: 1.07\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": 268.8582999240652, + "fos_buckling": 1.0721246810846634, + "fos_yielding": 2.2875097603866017, + "deflection": 0.00485307293818083, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3353", + "improvement_over_parent": null + }, + "node_3355": { + "node_id": "node_3355", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M8: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 293.24 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2397718848973, + "fos_buckling": 1.5230632143081335, + "fos_yielding": 2.0127164361834, + "deflection": 0.0040405910091287755, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_3354", + "improvement_over_parent": null + }, + "node_3356": { + "node_id": "node_3356", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3355", + "improvement_over_parent": null + }, + "node_3357": { + "node_id": "node_3357", + "content": "INITIAL DESIGN (Trace 482)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, 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_3358": { + "node_id": "node_3358", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 168.93 kg\n Factor of Safety: 0.78\n Max Deflection: 7.44e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 168.93380236451148, + "fos_buckling": 0.779482714947841, + "fos_yielding": 1.5643658974446137, + "deflection": 0.007435055496978347, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003224)" + }, + "parent_node_id": "node_3357", + "improvement_over_parent": null + }, + "node_3359": { + "node_id": "node_3359", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0031)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 190.10 kg\n Factor of Safety: 0.98\n Max Deflection: 6.28e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 190.10067537119465, + "fos_buckling": 0.9781376693535647, + "fos_yielding": 1.3796981593422477, + "deflection": 0.006277009079089494, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003462)" + }, + "parent_node_id": "node_3358", + "improvement_over_parent": null + }, + "node_3360": { + "node_id": "node_3360", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 194.04 kg\n Factor of Safety: 0.94\n Max Deflection: 6.13e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 194.04248588281504, + "fos_buckling": 0.9447048145949707, + "fos_yielding": 1.3790051309945939, + "deflection": 0.006129990741185962, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.217)" + }, + "parent_node_id": "node_3359", + "improvement_over_parent": null + }, + "node_3361": { + "node_id": "node_3361", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0025)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0030)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0046)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n\nPerformance:\n Mass: 200.05 kg\n Factor of Safety: 0.98\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": 200.0509503675868, + "fos_buckling": 0.978943411693716, + "fos_yielding": 1.3795508389222115, + "deflection": 0.006026424756887953, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.289)" + }, + "parent_node_id": "node_3360", + "improvement_over_parent": null + }, + "node_3362": { + "node_id": "node_3362", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0040)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0058)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 246.89 kg\n Factor of Safety: 1.18\n Max Deflection: 4.89e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.8916790034221, + "fos_buckling": 1.181636839598268, + "fos_yielding": 1.7011656342052226, + "deflection": 0.00489370291100952, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.253)" + }, + "parent_node_id": "node_3361", + "improvement_over_parent": null + }, + "node_3363": { + "node_id": "node_3363", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0069)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 292.45 kg\n Factor of Safety: 1.37\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": 292.4484036116881, + "fos_buckling": 1.3690775411000984, + "fos_yielding": 2.013488698280753, + "deflection": 0.004139967774356295, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.203)" + }, + "parent_node_id": "node_3362", + "improvement_over_parent": null + }, + "node_3364": { + "node_id": "node_3364", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3363", + "improvement_over_parent": null + }, + "node_3365": { + "node_id": "node_3365", + "content": "INITIAL DESIGN (Trace 483)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 198.45 kg\n Factor of Safety: 0.91\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": 198.4491063761054, + "fos_buckling": 0.9102072974971097, + "fos_yielding": 1.0253868685557408, + "deflection": 0.006096221378314678, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3366": { + "node_id": "node_3366", + "content": "MODIFICATION: Increase 9 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0035)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 202.37 kg\n Factor of Safety: 0.90\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": 202.37423271810934, + "fos_buckling": 0.9048411114392038, + "fos_yielding": 1.0193416338788335, + "deflection": 0.00604778195598096, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.215)" + }, + "parent_node_id": "node_3365", + "improvement_over_parent": null + }, + "node_3367": { + "node_id": "node_3367", + "content": "MODIFICATION: Increase 7 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 209.76 kg\n Factor of Safety: 0.90\n Max Deflection: 5.85e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 209.7586869124676, + "fos_buckling": 0.9041726413864569, + "fos_yielding": 1.0185885742011158, + "deflection": 0.005853472901735225, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.312)" + }, + "parent_node_id": "node_3366", + "improvement_over_parent": null + }, + "node_3368": { + "node_id": "node_3368", + "content": "MODIFICATION: Increase 0 thickness by 64%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0042)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0043)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0037)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0036)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0028)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0024)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0022)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0046)]\n\nPerformance:\n Mass: 219.42 kg\n Factor of Safety: 0.90\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": 219.42119112219956, + "fos_buckling": 0.9028113939861665, + "fos_yielding": 1.0170550716540019, + "deflection": 0.0054468878776258575, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.642)" + }, + "parent_node_id": "node_3367", + "improvement_over_parent": null + }, + "node_3369": { + "node_id": "node_3369", + "content": "MODIFICATION: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0026)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 259.88 kg\n Factor of Safety: 1.06\n Max Deflection: 4.61e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 259.87556049358165, + "fos_buckling": 1.0564908451921817, + "fos_yielding": 1.2090765441626807, + "deflection": 0.004608681384390517, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.200)" + }, + "parent_node_id": "node_3368", + "improvement_over_parent": null + }, + "node_3370": { + "node_id": "node_3370", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 289.70 kg\n Factor of Safety: 1.17\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": 289.70018467539444, + "fos_buckling": 1.1672089109098531, + "fos_yielding": 1.3517625148136119, + "deflection": 0.004140605556456589, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3369", + "improvement_over_parent": null + }, + "node_3371": { + "node_id": "node_3371", + "content": "MODIFICATION: Increase 6 thickness by 56%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.07 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.07024006600557, + "fos_buckling": 1.5223195426111098, + "fos_yielding": 2.0127703943858535, + "deflection": 0.004042680063811494, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.560)" + }, + "parent_node_id": "node_3370", + "improvement_over_parent": null + }, + "node_3372": { + "node_id": "node_3372", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 484)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 207.07 kg\n Factor of Safety: 0.88\n Max Deflection: 6.12e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.06629262010364, + "fos_buckling": 0.8822266816682302, + "fos_yielding": 1.8074543222367654, + "deflection": 0.0061228164517325686, + "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: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 227.16 kg\n Factor of Safety: 1.22\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": 227.15887312956397, + "fos_buckling": 1.2220088302961878, + "fos_yielding": 1.6029862311278278, + "deflection": 0.005159524022683775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.003276)" + }, + "parent_node_id": "node_3373", + "improvement_over_parent": null + }, + "node_3375": { + "node_id": "node_3375", + "content": "MODIFICATION: Increase 9 thickness by 23%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0060)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 234.66 kg\n Factor of Safety: 1.26\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": 234.66359058947785, + "fos_buckling": 1.259348872013006, + "fos_yielding": 1.6191251241449376, + "deflection": 0.004989475870508438, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.233)" + }, + "parent_node_id": "node_3374", + "improvement_over_parent": null + }, + "node_3376": { + "node_id": "node_3376", + "content": "MODIFICATION: Increase all_members thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0077)]\n M10: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0042)]\n\nPerformance:\n Mass: 296.91 kg\n Factor of Safety: 1.53\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": 296.90747146474723, + "fos_buckling": 1.5303424346347838, + "fos_yielding": 2.046357235983706, + "deflection": 0.003958095638570905, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.292)" + }, + "parent_node_id": "node_3375", + "improvement_over_parent": null + }, + "node_3377": { + "node_id": "node_3377", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3376", + "improvement_over_parent": null + }, + "node_3378": { + "node_id": "node_3378", + "content": "INITIAL DESIGN (Trace 485)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0046)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0039)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0049)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0030)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0032)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0050)]\n\nPerformance:\n Mass: 199.82 kg\n Factor of Safety: 0.85\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": 199.82290216702626, + "fos_buckling": 0.8486698051956009, + "fos_yielding": 1.8442642640217544, + "deflection": 0.0072250560131683845, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3379": { + "node_id": "node_3379", + "content": "MODIFICATION: Increase all_members thickness by 25%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 246.47 kg\n Factor of Safety: 1.01\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": 246.47313771824298, + "fos_buckling": 1.0083806039996788, + "fos_yielding": 2.2678947177083186, + "deflection": 0.0058720740339004655, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.255)" + }, + "parent_node_id": "node_3378", + "improvement_over_parent": null + }, + "node_3380": { + "node_id": "node_3380", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 251.69 kg\n Factor of Safety: 1.01\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 251.6869677520571, + "fos_buckling": 1.0076595379916045, + "fos_yielding": 2.0177637356833333, + "deflection": 0.005071809395237855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3379", + "improvement_over_parent": null + }, + "node_3381": { + "node_id": "node_3381", + "content": "MODIFICATION: Increase 8 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 263.44 kg\n Factor of Safety: 1.01\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": 263.4414364493685, + "fos_buckling": 1.0068479594189805, + "fos_yielding": 2.041035000235557, + "deflection": 0.004918971895420752, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.299)" + }, + "parent_node_id": "node_3380", + "improvement_over_parent": null + }, + "node_3382": { + "node_id": "node_3382", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0081)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n\nPerformance:\n Mass: 282.50 kg\n Factor of Safety: 1.42\n Max Deflection: 4.09e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 282.4994888063978, + "fos_buckling": 1.4150939342577669, + "fos_yielding": 2.053156503259857, + "deflection": 0.0040915859764655725, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.003596)" + }, + "parent_node_id": "node_3381", + "improvement_over_parent": null + }, + "node_3383": { + "node_id": "node_3383", + "content": "MODIFICATION: Increase 8 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0115)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n\nPerformance:\n Mass: 301.64 kg\n Factor of Safety: 1.42\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": 301.6424111140922, + "fos_buckling": 1.4160957170345199, + "fos_yielding": 2.0788319051948556, + "deflection": 0.003925537736303719, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.410)" + }, + "parent_node_id": "node_3382", + "improvement_over_parent": null + }, + "node_3384": { + "node_id": "node_3384", + "content": "MODIFICATION: Increase 2 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0068)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0038)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0115)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0036)]\n\nPerformance:\n Mass: 310.01 kg\n Factor of Safety: 1.41\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": 310.0105332869765, + "fos_buckling": 1.4139555113008095, + "fos_yielding": 2.064939211391647, + "deflection": 0.0038955297094021854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.393)" + }, + "parent_node_id": "node_3383", + "improvement_over_parent": null + }, + "node_3385": { + "node_id": "node_3385", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3384", + "improvement_over_parent": null + }, + "node_3386": { + "node_id": "node_3386", + "content": "INITIAL DESIGN (Trace 486)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0017)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0017)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0015)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0014)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0011)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0010)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0014)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0018)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0016)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0011)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0019)]\n\nPerformance:\n Mass: 89.44 kg\n Factor of Safety: 0.52\n Max Deflection: 1.30e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 89.4385386692282, + "fos_buckling": 0.5212906141755967, + "fos_yielding": 0.6444468936327545, + "deflection": 0.012962295596490168, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3387": { + "node_id": "node_3387", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0023)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0020)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0019)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0015)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0018)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0024)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0021)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0014)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0025)]\n\nPerformance:\n Mass: 118.16 kg\n Factor of Safety: 0.68\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": 118.15593383884243, + "fos_buckling": 0.6764677446942853, + "fos_yielding": 0.8506172647354024, + "deflection": 0.009828872009219067, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3386", + "improvement_over_parent": null + }, + "node_3388": { + "node_id": "node_3388", + "content": "MODIFICATION: Increase all_members thickness by 14%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0017)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 134.53 kg\n Factor of Safety: 0.76\n Max Deflection: 8.64e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 134.52518986435516, + "fos_buckling": 0.7622897827960445, + "fos_yielding": 0.9679690475403313, + "deflection": 0.008641403465862592, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.144)" + }, + "parent_node_id": "node_3387", + "improvement_over_parent": null + }, + "node_3389": { + "node_id": "node_3389", + "content": "MODIFICATION: Increase 9 thickness by 42%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0026)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0026)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0022)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0017)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0021)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0028)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0024)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0024)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0028)]\n\nPerformance:\n Mass: 138.76 kg\n Factor of Safety: 0.80\n Max Deflection: 8.46e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 138.75539857094557, + "fos_buckling": 0.7960411466831114, + "fos_yielding": 0.9556566902858857, + "deflection": 0.00846254002640671, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.422)" + }, + "parent_node_id": "node_3388", + "improvement_over_parent": null + }, + "node_3390": { + "node_id": "node_3390", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0034)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0029)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0028)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0036)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 178.27 kg\n Factor of Safety: 1.00\n Max Deflection: 6.60e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 178.27025846810074, + "fos_buckling": 0.9977913203566307, + "fos_yielding": 1.2267131511282836, + "deflection": 0.0066019682375751815, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.300)" + }, + "parent_node_id": "node_3389", + "improvement_over_parent": null + }, + "node_3391": { + "node_id": "node_3391", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0046)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 225.23 kg\n Factor of Safety: 1.22\n Max Deflection: 5.24e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 225.23418020357656, + "fos_buckling": 1.22337482754955, + "fos_yielding": 1.5482384496931978, + "deflection": 0.005239689698683946, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.282)" + }, + "parent_node_id": "node_3390", + "improvement_over_parent": null + }, + "node_3392": { + "node_id": "node_3392", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.36 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3609586439758, + "fos_buckling": 1.5234379196873178, + "fos_yielding": 2.01343948575039, + "deflection": 0.004038819809448956, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3391", + "improvement_over_parent": null + }, + "node_3393": { + "node_id": "node_3393", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3392", + "improvement_over_parent": null + }, + "node_3394": { + "node_id": "node_3394", + "content": "INITIAL DESIGN (Trace 487)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.13 kg\n Factor of Safety: 1.03\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": 260.12900980404606, + "fos_buckling": 1.0259696298116903, + "fos_yielding": 1.4844310537117045, + "deflection": 0.005870542285049982, + "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: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 265.34 kg\n Factor of Safety: 1.07\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": 265.34283983786014, + "fos_buckling": 1.07210413207428, + "fos_yielding": 1.4844310537117045, + "deflection": 0.004852852403814066, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3394", + "improvement_over_parent": null + }, + "node_3396": { + "node_id": "node_3396", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 289.72 kg\n Factor of Safety: 1.15\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": 289.72431179869227, + "fos_buckling": 1.1475525209366402, + "fos_yielding": 1.3260312834415715, + "deflection": 0.004144416251325602, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004863)" + }, + "parent_node_id": "node_3395", + "improvement_over_parent": null + }, + "node_3397": { + "node_id": "node_3397", + "content": "MODIFICATION: Increase 6 thickness by 59%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0086)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 306.39 kg\n Factor of Safety: 1.15\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": 306.3872163473651, + "fos_buckling": 1.1481811351390703, + "fos_yielding": 1.3267576659664932, + "deflection": 0.004047297471112572, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(6, thickness, 1.592)" + }, + "parent_node_id": "node_3396", + "improvement_over_parent": null + }, + "node_3398": { + "node_id": "node_3398", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3397", + "improvement_over_parent": null + }, + "node_3399": { + "node_id": "node_3399", + "content": "INITIAL DESIGN (Trace 488)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 162.81 kg\n Factor of Safety: 0.12\n Max Deflection: 6.45e+13 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 162.81165835476725, + "fos_buckling": 0.12491448483927962, + "fos_yielding": 0.46032595783556723, + "deflection": 64485588209274.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3400": { + "node_id": "node_3400", + "content": "MODIFICATION: Increase 3 thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0035)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0044)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0034)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0040)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0039)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0047)]\n\nPerformance:\n Mass: 163.70 kg\n Factor of Safety: 0.12\n Max Deflection: 6.45e+13 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 163.70354313891434, + "fos_buckling": 0.12491448483927962, + "fos_yielding": 0.46032595783556723, + "deflection": 64485588209274.62, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.211)" + }, + "parent_node_id": "node_3399", + "improvement_over_parent": null + }, + "node_3401": { + "node_id": "node_3401", + "content": "MODIFICATION: Increase all_members thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 213.34 kg\n Factor of Safety: 0.34\n Max Deflection: 1.50e+13 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 213.3404889947372, + "fos_buckling": 0.33686433423724566, + "fos_yielding": 1.2160646729817197, + "deflection": 15040074439886.947, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.332)" + }, + "parent_node_id": "node_3400", + "improvement_over_parent": null + }, + "node_3402": { + "node_id": "node_3402", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 256.54 kg\n Factor of Safety: 1.01\n Max Deflection: 6.15e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 256.53854693218943, + "fos_buckling": 1.007808015528198, + "fos_yielding": 2.267016701518969, + "deflection": 0.006149633814180775, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3401", + "improvement_over_parent": null + }, + "node_3403": { + "node_id": "node_3403", + "content": "MODIFICATION: Increase 0 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 262.23 kg\n Factor of Safety: 1.01\n Max Deflection: 5.87e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 262.23295640750104, + "fos_buckling": 1.0074146177753545, + "fos_yielding": 2.2662225619522305, + "deflection": 0.005869492708167705, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.221)" + }, + "parent_node_id": "node_3402", + "improvement_over_parent": null + }, + "node_3404": { + "node_id": "node_3404", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 288.13 kg\n Factor of Safety: 1.04\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": 288.1303935498908, + "fos_buckling": 1.036768413838455, + "fos_yielding": 2.29723655468992, + "deflection": 0.0058771668322018565, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_3403", + "improvement_over_parent": null + }, + "node_3405": { + "node_id": "node_3405", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M9: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.34 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3442235837049, + "fos_buckling": 1.5235070238709065, + "fos_yielding": 2.013553216893779, + "deflection": 0.004039117156401151, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.003306)" + }, + "parent_node_id": "node_3404", + "improvement_over_parent": null + }, + "node_3406": { + "node_id": "node_3406", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3405", + "improvement_over_parent": null + }, + "node_3407": { + "node_id": "node_3407", + "content": "INITIAL DESIGN (Trace 489)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n\nPerformance:\n Mass: 174.77 kg\n Factor of Safety: 0.43\n Max Deflection: 1.10e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 174.77245015310353, + "fos_buckling": 0.4327684350919422, + "fos_yielding": 1.2555581088109165, + "deflection": 0.010987929394991562, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3408": { + "node_id": "node_3408", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n\nPerformance:\n Mass: 180.16 kg\n Factor of Safety: 0.43\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.16085888436228, + "fos_buckling": 0.4326077856398166, + "fos_yielding": 1.255123817193324, + "deflection": 0.01020471498184609, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.300)" + }, + "parent_node_id": "node_3407", + "improvement_over_parent": null + }, + "node_3409": { + "node_id": "node_3409", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 215.67 kg\n Factor of Safety: 0.82\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": 215.67282814737075, + "fos_buckling": 0.8200728392805408, + "fos_yielding": 1.3637037330846693, + "deflection": 0.005793214448630849, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004893)" + }, + "parent_node_id": "node_3408", + "improvement_over_parent": null + }, + "node_3410": { + "node_id": "node_3410", + "content": "MODIFICATION: Increase 7 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0031)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 219.99 kg\n Factor of Safety: 0.88\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": 219.98967845304966, + "fos_buckling": 0.8824129436944165, + "fos_yielding": 1.4048133340100368, + "deflection": 0.005557321648173722, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.242)" + }, + "parent_node_id": "node_3409", + "improvement_over_parent": null + }, + "node_3411": { + "node_id": "node_3411", + "content": "MODIFICATION: Increase 7 thickness by 53%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0045)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0046)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0018)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0036)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0041)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0049)]\n\nPerformance:\n Mass: 231.42 kg\n Factor of Safety: 0.93\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": 231.42427892712, + "fos_buckling": 0.929614746186427, + "fos_yielding": 1.4799592416079743, + "deflection": 0.005160703132994833, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.534)" + }, + "parent_node_id": "node_3410", + "improvement_over_parent": null + }, + "node_3412": { + "node_id": "node_3412", + "content": "MODIFICATION: Increase all_members thickness by 28%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 290.49 kg\n Factor of Safety: 1.15\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": 290.4850346274117, + "fos_buckling": 1.1471744878865566, + "fos_yielding": 1.8666208906132198, + "deflection": 0.004124354326531012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.280)" + }, + "parent_node_id": "node_3411", + "improvement_over_parent": null + }, + "node_3413": { + "node_id": "node_3413", + "content": "MODIFICATION: Increase 4 thickness by 66%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.1335874649716, + "fos_buckling": 1.522510421445084, + "fos_yielding": 2.011923915445322, + "deflection": 0.004041921916081449, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.661)" + }, + "parent_node_id": "node_3412", + "improvement_over_parent": null + }, + "node_3414": { + "node_id": "node_3414", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3413", + "improvement_over_parent": null + }, + "node_3415": { + "node_id": "node_3415", + "content": "INITIAL DESIGN (Trace 490)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 221.02 kg\n Factor of Safety: 0.52\n Max Deflection: 8.49e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.02367007583106, + "fos_buckling": 0.5226271001546898, + "fos_yielding": 1.573607710480587, + "deflection": 0.008491806543434356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3416": { + "node_id": "node_3416", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 265.61 kg\n Factor of Safety: 1.01\n Max Deflection: 5.03e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 265.60560124377696, + "fos_buckling": 1.006894860656783, + "fos_yielding": 2.0044857830994687, + "deflection": 0.005029901597037323, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3415", + "improvement_over_parent": null + }, + "node_3417": { + "node_id": "node_3417", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 266.39 kg\n Factor of Safety: 1.01\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": 266.3873468470533, + "fos_buckling": 1.0067870072929515, + "fos_yielding": 2.0011144388837234, + "deflection": 0.005018166554731489, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.241)" + }, + "parent_node_id": "node_3416", + "improvement_over_parent": null + }, + "node_3418": { + "node_id": "node_3418", + "content": "MODIFICATION: Increase 4 thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 267.33 kg\n Factor of Safety: 1.01\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": 267.3290709271416, + "fos_buckling": 1.0066571132107731, + "fos_yielding": 1.998319116804918, + "deflection": 0.005008643332555104, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.242)" + }, + "parent_node_id": "node_3417", + "improvement_over_parent": null + }, + "node_3419": { + "node_id": "node_3419", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M5: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M6: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22650806953135, + "fos_buckling": 1.522913832904232, + "fos_yielding": 2.0124415773739246, + "deflection": 0.004040662918949349, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.005012)" + }, + "parent_node_id": "node_3418", + "improvement_over_parent": null + }, + "node_3420": { + "node_id": "node_3420", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3419", + "improvement_over_parent": null + }, + "node_3421": { + "node_id": "node_3421", + "content": "INITIAL DESIGN (Trace 491)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 242.07 kg\n Factor of Safety: 0.59\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": 242.0698733102951, + "fos_buckling": 0.5886360969282817, + "fos_yielding": 1.3039817332512282, + "deflection": 0.007584305455087318, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3422": { + "node_id": "node_3422", + "content": "MODIFICATION: Increase 4 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 244.28 kg\n Factor of Safety: 0.59\n Max Deflection: 7.32e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 244.28235915446862, + "fos_buckling": 0.5886360969282816, + "fos_yielding": 1.9005333840265304, + "deflection": 0.007319777089516641, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(4, thickness, 1.502)" + }, + "parent_node_id": "node_3421", + "improvement_over_parent": null + }, + "node_3423": { + "node_id": "node_3423", + "content": "MODIFICATION: Add member connecting joints 0 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 287.48 kg\n Factor of Safety: 1.52\n Max Deflection: 4.16e-03 m\n Status: FEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 287.48041709192086, + "fos_buckling": 1.5236075597746197, + "fos_yielding": 1.994035435173197, + "deflection": 0.004155396475509968, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(0, 4, A36_Steel, Pipe, 0.037000, 0.006167)" + }, + "parent_node_id": "node_3422", + "improvement_over_parent": null + }, + "node_3424": { + "node_id": "node_3424", + "content": "MODIFICATION: Increase 1 thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n\nPerformance:\n Mass: 293.22 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.22087956907814, + "fos_buckling": 1.5229251419253977, + "fos_yielding": 2.0124263092809658, + "deflection": 0.004040787738751757, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.215)" + }, + "parent_node_id": "node_3423", + "improvement_over_parent": null + }, + "node_3425": { + "node_id": "node_3425", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3424", + "improvement_over_parent": null + }, + "node_3426": { + "node_id": "node_3426", + "content": "INITIAL DESIGN (Trace 492)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 158.89 kg\n Factor of Safety: 0.43\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": 158.88771204424742, + "fos_buckling": 0.42713144355587784, + "fos_yielding": 1.2350889871333715, + "deflection": 0.011421264209367852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3427": { + "node_id": "node_3427", + "content": "MODIFICATION: Increase 7 thickness by 46%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 169.02 kg\n Factor of Safety: 0.43\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": 169.02265768064706, + "fos_buckling": 0.4268329472108793, + "fos_yielding": 1.2348210577593017, + "deflection": 0.010552843679979496, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.458)" + }, + "parent_node_id": "node_3426", + "improvement_over_parent": null + }, + "node_3428": { + "node_id": "node_3428", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 203.95 kg\n Factor of Safety: 0.82\n Max Deflection: 6.37e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 203.9463832567998, + "fos_buckling": 0.8230602340275033, + "fos_yielding": 1.5679405929229773, + "deflection": 0.0063683910014055356, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004806)" + }, + "parent_node_id": "node_3427", + "improvement_over_parent": null + }, + "node_3429": { + "node_id": "node_3429", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 260.42 kg\n Factor of Safety: 1.01\n Max Deflection: 5.00e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 260.4240037265513, + "fos_buckling": 1.0076602055233004, + "fos_yielding": 1.9994090297682594, + "deflection": 0.0050047977551634145, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3428", + "improvement_over_parent": null + }, + "node_3430": { + "node_id": "node_3430", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.34 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3365403581683, + "fos_buckling": 1.5232962323917827, + "fos_yielding": 2.0132004737679896, + "deflection": 0.0040391294354945925, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_3429", + "improvement_over_parent": null + }, + "node_3431": { + "node_id": "node_3431", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3430", + "improvement_over_parent": null + }, + "node_3432": { + "node_id": "node_3432", + "content": "INITIAL DESIGN (Trace 493)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0025)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 131.84 kg\n Factor of Safety: 0.47\n Max Deflection: 1.02e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 131.84325301734773, + "fos_buckling": 0.47153105429382053, + "fos_yielding": 1.0820281098575735, + "deflection": 0.010179802377523172, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3433": { + "node_id": "node_3433", + "content": "MODIFICATION: Increase 7 thickness by 29%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0029)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0023)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0022)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0032)]\n\nPerformance:\n Mass: 136.86 kg\n Factor of Safety: 0.59\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": 136.8578452436574, + "fos_buckling": 0.5901598747107513, + "fos_yielding": 1.0819751218013791, + "deflection": 0.009357795306539376, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(7, thickness, 1.289)" + }, + "parent_node_id": "node_3432", + "improvement_over_parent": null + }, + "node_3434": { + "node_id": "node_3434", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n\nPerformance:\n Mass: 165.10 kg\n Factor of Safety: 0.70\n Max Deflection: 7.77e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 165.09752113833008, + "fos_buckling": 0.6974119130543032, + "fos_yielding": 1.3040691813974334, + "deflection": 0.007771480426886842, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.218)" + }, + "parent_node_id": "node_3433", + "improvement_over_parent": null + }, + "node_3435": { + "node_id": "node_3435", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0036)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0039)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n\nPerformance:\n Mass: 186.37 kg\n Factor of Safety: 1.03\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": 186.36692462973804, + "fos_buckling": 1.030701530448208, + "fos_yielding": 1.312799120046475, + "deflection": 0.0062770721168634675, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.003364)" + }, + "parent_node_id": "node_3434", + "improvement_over_parent": null + }, + "node_3436": { + "node_id": "node_3436", + "content": "MODIFICATION: Increase all_members thickness by 24%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 227.41 kg\n Factor of Safety: 1.22\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": 227.40864869749672, + "fos_buckling": 1.2245765528839503, + "fos_yielding": 1.6000210940884547, + "deflection": 0.005156923012970237, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.236)" + }, + "parent_node_id": "node_3435", + "improvement_over_parent": null + }, + "node_3437": { + "node_id": "node_3437", + "content": "MODIFICATION: Increase 9 thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0039)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0038)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0030)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0026)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0048)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0034)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0058)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0042)]\n\nPerformance:\n Mass: 233.96 kg\n Factor of Safety: 1.26\n Max Deflection: 5.01e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 233.95615694683642, + "fos_buckling": 1.2582309930987357, + "fos_yielding": 1.6143990759613533, + "deflection": 0.0050064163718848064, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.203)" + }, + "parent_node_id": "node_3436", + "improvement_over_parent": null + }, + "node_3438": { + "node_id": "node_3438", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0038)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0067)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n\nPerformance:\n Mass: 265.57 kg\n Factor of Safety: 1.40\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": 265.5682290748679, + "fos_buckling": 1.3993685384976113, + "fos_yielding": 1.8314445942765258, + "deflection": 0.004418817549036287, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.147)" + }, + "parent_node_id": "node_3437", + "improvement_over_parent": null + }, + "node_3439": { + "node_id": "node_3439", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M9: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0075)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 296.67 kg\n Factor of Safety: 1.53\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": 296.6679370432372, + "fos_buckling": 1.531614933742466, + "fos_yielding": 2.0447223518798494, + "deflection": 0.003962950383852102, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.129)" + }, + "parent_node_id": "node_3438", + "improvement_over_parent": null + }, + "node_3440": { + "node_id": "node_3440", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 494)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0049)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0025)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0028)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0052)]\n\nPerformance:\n Mass: 180.02 kg\n Factor of Safety: 0.88\n Max Deflection: 7.46e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 180.01713136839686, + "fos_buckling": 0.8813495990662554, + "fos_yielding": 1.9396012839408836, + "deflection": 0.007462971721641671, + "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 all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0030)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 212.83 kg\n Factor of Safety: 1.01\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 212.82644399832392, + "fos_buckling": 1.0108288436855943, + "fos_yielding": 2.290424955092544, + "deflection": 0.006325868553377985, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.199)" + }, + "parent_node_id": "node_3441", + "improvement_over_parent": null + }, + "node_3443": { + "node_id": "node_3443", + "content": "MODIFICATION: Increase 3 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0043)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 221.65 kg\n Factor of Safety: 1.01\n Max Deflection: 6.33e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 221.6543848725254, + "fos_buckling": 1.010215651992368, + "fos_yielding": 2.2891684269884025, + "deflection": 0.006329703695006829, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(3, thickness, 1.621)" + }, + "parent_node_id": "node_3442", + "improvement_over_parent": null + }, + "node_3444": { + "node_id": "node_3444", + "content": "MODIFICATION: Increase 0 thickness by 33%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 229.48 kg\n Factor of Safety: 1.01\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": 229.47862358907665, + "fos_buckling": 1.0096727993326433, + "fos_yielding": 2.2891684269884025, + "deflection": 0.005918767442411825, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.328)" + }, + "parent_node_id": "node_3443", + "improvement_over_parent": null + }, + "node_3445": { + "node_id": "node_3445", + "content": "MODIFICATION: Add member connecting joints 1 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n\nPerformance:\n Mass: 253.88 kg\n Factor of Safety: 1.01\n Max Deflection: 5.07e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 253.88190663762717, + "fos_buckling": 1.0079834190148627, + "fos_yielding": 2.0187804817618593, + "deflection": 0.005068810664443813, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004030)" + }, + "parent_node_id": "node_3444", + "improvement_over_parent": null + }, + "node_3446": { + "node_id": "node_3446", + "content": "MODIFICATION: Add member connecting joints 1 and 3\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 286.79 kg\n Factor of Safety: 1.48\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": 286.7944432692442, + "fos_buckling": 1.478522749794944, + "fos_yielding": 2.0318503872321094, + "deflection": 0.004096897134762674, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 3, A36_Steel, Pipe, 0.032296, 0.005383)" + }, + "parent_node_id": "node_3445", + "improvement_over_parent": null + }, + "node_3447": { + "node_id": "node_3447", + "content": "MODIFICATION: Increase 9 thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n\nPerformance:\n Mass: 293.35 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.3527170763311, + "fos_buckling": 1.5234200540170888, + "fos_yielding": 2.013426050017802, + "deflection": 0.004038777141268125, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(9, thickness, 1.295)" + }, + "parent_node_id": "node_3446", + "improvement_over_parent": null + }, + "node_3448": { + "node_id": "node_3448", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "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 495)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0030)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0019)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0026)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0020)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0011)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0024)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0032)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0028)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0027)]\n\nPerformance:\n Mass: 128.18 kg\n Factor of Safety: 0.31\n Max Deflection: 1.43e-02 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 128.18187393876224, + "fos_buckling": 0.31180674171334627, + "fos_yielding": 0.7462911151049386, + "deflection": 0.01432615791116565, + "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: Increase all_members thickness by 20%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0023)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0032)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0031)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0024)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0013)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0029)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0039)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0034)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0033)]\n\nPerformance:\n Mass: 151.99 kg\n Factor of Safety: 0.36\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": 151.98729238841216, + "fos_buckling": 0.36274864412039526, + "fos_yielding": 0.8870746604821867, + "deflection": 0.01209702337051895, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.196)" + }, + "parent_node_id": "node_3449", + "improvement_over_parent": null + }, + "node_3451": { + "node_id": "node_3451", + "content": "MODIFICATION: Increase all_members thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0030)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 196.95 kg\n Factor of Safety: 0.45\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 196.947865607709, + "fos_buckling": 0.45310327224854274, + "fos_yielding": 1.1551576840556066, + "deflection": 0.00935693594445177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.318)" + }, + "parent_node_id": "node_3450", + "improvement_over_parent": null + }, + "node_3452": { + "node_id": "node_3452", + "content": "MODIFICATION: Increase 1 thickness by 62%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0048)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0042)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0032)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0017)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0038)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0051)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0045)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n\nPerformance:\n Mass: 207.75 kg\n Factor of Safety: 0.45\n Max Deflection: 9.36e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 207.74599620122058, + "fos_buckling": 0.4527667526175729, + "fos_yielding": 1.1555269773630417, + "deflection": 0.00936193719955836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.621)" + }, + "parent_node_id": "node_3451", + "improvement_over_parent": null + }, + "node_3453": { + "node_id": "node_3453", + "content": "MODIFICATION: Increase all_members thickness by 21%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n\nPerformance:\n Mass: 246.73 kg\n Factor of Safety: 0.52\n Max Deflection: 7.89e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 246.7326606277492, + "fos_buckling": 0.5214888623252129, + "fos_yielding": 1.3792557851063085, + "deflection": 0.00789363271175355, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.206)" + }, + "parent_node_id": "node_3452", + "improvement_over_parent": null + }, + "node_3454": { + "node_id": "node_3454", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0021)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 291.31 kg\n Factor of Safety: 1.32\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": 291.3145917956951, + "fos_buckling": 1.3218540380302406, + "fos_yielding": 2.0245863783853926, + "deflection": 0.004136418744187012, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.006265)" + }, + "parent_node_id": "node_3453", + "improvement_over_parent": null + }, + "node_3455": { + "node_id": "node_3455", + "content": "MODIFICATION: Increase 5 thickness by 58%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.13 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.12740846224494, + "fos_buckling": 1.5225129364461307, + "fos_yielding": 2.0115664790778283, + "deflection": 0.004041898347632924, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.585)" + }, + "parent_node_id": "node_3454", + "improvement_over_parent": null + }, + "node_3456": { + "node_id": "node_3456", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3455", + "improvement_over_parent": null + }, + "node_3457": { + "node_id": "node_3457", + "content": "INITIAL DESIGN (Trace 496)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0034)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0035)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0023)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0029)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0023)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0014)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0027)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0037)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0023)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0031)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0037)]\n\nPerformance:\n Mass: 171.52 kg\n Factor of Safety: 0.93\n Max Deflection: 6.81e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 171.52377974572863, + "fos_buckling": 0.9327543747911549, + "fos_yielding": 1.2536864336320637, + "deflection": 0.006807607343288498, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3458": { + "node_id": "node_3458", + "content": "MODIFICATION: Increase all_members thickness by 12%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0026)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0033)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0016)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0026)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 190.96 kg\n Factor of Safety: 1.03\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": 190.95583033302995, + "fos_buckling": 1.0251707459663244, + "fos_yielding": 1.3946376123027462, + "deflection": 0.0061217800787998836, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.120)" + }, + "parent_node_id": "node_3457", + "improvement_over_parent": null + }, + "node_3459": { + "node_id": "node_3459", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0031)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 230.79 kg\n Factor of Safety: 1.21\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": 230.7850591154861, + "fos_buckling": 1.206307965940427, + "fos_yielding": 1.6828156656159317, + "deflection": 0.005077041481733108, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.224)" + }, + "parent_node_id": "node_3458", + "improvement_over_parent": null + }, + "node_3460": { + "node_id": "node_3460", + "content": "MODIFICATION: Increase 2 thickness by 31%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0032)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 235.59 kg\n Factor of Safety: 1.24\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": 235.58896100892514, + "fos_buckling": 1.2356763925485221, + "fos_yielding": 1.6835859724871973, + "deflection": 0.005020668149217521, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(2, thickness, 1.309)" + }, + "parent_node_id": "node_3459", + "improvement_over_parent": null + }, + "node_3461": { + "node_id": "node_3461", + "content": "MODIFICATION: Increase 8 thickness by 39%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 242.89 kg\n Factor of Safety: 1.21\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": 242.88845769374507, + "fos_buckling": 1.211293461024271, + "fos_yielding": 1.6848750355264797, + "deflection": 0.004923387851343762, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.391)" + }, + "parent_node_id": "node_3460", + "improvement_over_parent": null + }, + "node_3462": { + "node_id": "node_3462", + "content": "MODIFICATION: Increase 5 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0047)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0048)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0041)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0040)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0031)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0027)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0037)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0050)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0044)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0043)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0051)]\n\nPerformance:\n Mass: 244.09 kg\n Factor of Safety: 1.31\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": 244.08826656685022, + "fos_buckling": 1.309511331039949, + "fos_yielding": 1.6769774163386262, + "deflection": 0.004840583516169852, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.412)" + }, + "parent_node_id": "node_3461", + "improvement_over_parent": null + }, + "node_3463": { + "node_id": "node_3463", + "content": "MODIFICATION: Increase all_members thickness by 22%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.21 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2075442354688, + "fos_buckling": 1.5226737861536188, + "fos_yielding": 2.012218521240326, + "deflection": 0.0040411600564355075, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.221)" + }, + "parent_node_id": "node_3462", + "improvement_over_parent": null + }, + "node_3464": { + "node_id": "node_3464", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3463", + "improvement_over_parent": null + }, + "node_3465": { + "node_id": "node_3465", + "content": "INITIAL DESIGN (Trace 497)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (7 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n\nPerformance:\n Mass: 129.95 kg\n Factor of Safety: 1.42\n Max Deflection: 5.12e+14 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 129.95343760690042, + "fos_buckling": 1.4218403630597631, + "fos_yielding": 1.6754255244877145, + "deflection": 511793813461793.8, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3466": { + "node_id": "node_3466", + "content": "MODIFICATION: Add member connecting joints 2 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0028)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0040)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0042)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0037)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0036)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0043)]\n\nPerformance:\n Mass: 161.50 kg\n Factor of Safety: 0.76\n Max Deflection: 1.35e+12 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 161.50051010079167, + "fos_buckling": 0.7618193093106533, + "fos_yielding": 1.6019096722407828, + "deflection": 1349353094066.735, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(2, 4, A36_Steel, Pipe, 0.037588, 0.004311)" + }, + "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 (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (8 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n\nPerformance:\n Mass: 204.78 kg\n Factor of Safety: 0.93\n Max Deflection: 3.83e+11 m\n Status: INFEASIBLE", + "depth": 2, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 204.7803724491872, + "fos_buckling": 0.9321542559673839, + "fos_yielding": 2.045827160792593, + "deflection": 382881912698.7177, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.290)" + }, + "parent_node_id": "node_3466", + "improvement_over_parent": null + }, + "node_3468": { + "node_id": "node_3468", + "content": "MODIFICATION: Add member connecting joints 3 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0036)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 228.01 kg\n Factor of Safety: 0.94\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": 228.00828810231548, + "fos_buckling": 0.9365003456440137, + "fos_yielding": 2.051557179739623, + "deflection": 0.007122933517523076, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(3, 4, A36_Steel, Pipe, 0.030073, 0.004450)" + }, + "parent_node_id": "node_3467", + "improvement_over_parent": null + }, + "node_3469": { + "node_id": "node_3469", + "content": "MODIFICATION: Increase 0 thickness by 41%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n\nPerformance:\n Mass: 236.39 kg\n Factor of Safety: 0.94\n Max Deflection: 6.54e-03 m\n Status: INFEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 236.39021114611006, + "fos_buckling": 0.9370482963443582, + "fos_yielding": 2.051557179739623, + "deflection": 0.006542425465100976, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.412)" + }, + "parent_node_id": "node_3468", + "improvement_over_parent": null + }, + "node_3470": { + "node_id": "node_3470", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n\nPerformance:\n Mass: 258.26 kg\n Factor of Safety: 0.95\n Max Deflection: 6.55e-03 m\n Status: INFEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 258.2597826826956, + "fos_buckling": 0.9479435214058091, + "fos_yielding": 2.060698086377503, + "deflection": 0.006550984146754359, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004318)" + }, + "parent_node_id": "node_3469", + "improvement_over_parent": null + }, + "node_3471": { + "node_id": "node_3471", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0051)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0052)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0034)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0041)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0055)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0048)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0046)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0056)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0043)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0029)]\n\nPerformance:\n Mass: 262.94 kg\n Factor of Safety: 1.39\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": 262.93573202280595, + "fos_buckling": 1.3934786369467937, + "fos_yielding": 1.8059077575716063, + "deflection": 0.0044984280648822025, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.002935)" + }, + "parent_node_id": "node_3470", + "improvement_over_parent": null + }, + "node_3472": { + "node_id": "node_3472", + "content": "MODIFICATION: Increase all_members thickness by 13%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M3: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M4: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M5: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M6: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M7: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M8: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M9: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M10: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n\nPerformance:\n Mass: 293.09 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 7, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.08583834428913, + "fos_buckling": 1.5223878223149476, + "fos_yielding": 2.011617458490494, + "deflection": 0.004042726307459555, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.126)" + }, + "parent_node_id": "node_3471", + "improvement_over_parent": null + }, + "node_3473": { + "node_id": "node_3473", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 8, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3472", + "improvement_over_parent": null + }, + "node_3474": { + "node_id": "node_3474", + "content": "INITIAL DESIGN (Trace 498)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0027)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 206.61 kg\n Factor of Safety: 1.18\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": 206.60783023863428, + "fos_buckling": 1.1769704340606026, + "fos_yielding": 1.5384617916013463, + "deflection": 0.005906390979423802, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3475": { + "node_id": "node_3475", + "content": "MODIFICATION: Increase 1 thickness by 63%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0032)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 216.76 kg\n Factor of Safety: 1.24\n Max Deflection: 5.49e-03 m\n Status: INFEASIBLE", + "depth": 1, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 216.76184616369574, + "fos_buckling": 1.243276447188448, + "fos_yielding": 1.5784104755150508, + "deflection": 0.0054943710280459255, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(1, thickness, 1.629)" + }, + "parent_node_id": "node_3474", + "improvement_over_parent": null + }, + "node_3476": { + "node_id": "node_3476", + "content": "MODIFICATION: Increase 0 thickness by 37%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0031)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 223.59 kg\n Factor of Safety: 1.20\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": 223.59337317834365, + "fos_buckling": 1.198549440525217, + "fos_yielding": 1.5770083732748728, + "deflection": 0.0052359292907737855, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(0, thickness, 1.370)" + }, + "parent_node_id": "node_3475", + "improvement_over_parent": null + }, + "node_3477": { + "node_id": "node_3477", + "content": "MODIFICATION: Increase 8 thickness by 32%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0044)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0045)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0038)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0037)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0029)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0025)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0035)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0047)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0041)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0040)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0048)]\n\nPerformance:\n Mass: 229.59 kg\n Factor of Safety: 1.24\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": 229.5906046750522, + "fos_buckling": 1.2434900040368082, + "fos_yielding": 1.5777803215228807, + "deflection": 0.005141709032919119, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(8, thickness, 1.325)" + }, + "parent_node_id": "node_3476", + "improvement_over_parent": null + }, + "node_3478": { + "node_id": "node_3478", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.17 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 4, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.17405202291013, + "fos_buckling": 1.5226283739729125, + "fos_yielding": 2.011855688429408, + "deflection": 0.004041457185264927, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3477", + "improvement_over_parent": null + }, + "node_3479": { + "node_id": "node_3479", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 5, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3478", + "improvement_over_parent": null + }, + "node_3480": { + "node_id": "node_3480", + "content": "INITIAL DESIGN (Trace 499)\n\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (9 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n\nPerformance:\n Mass: 181.33 kg\n Factor of Safety: 0.75\n Max Deflection: 8.51e-03 m\n Status: INFEASIBLE", + "depth": 0, + "node_type": "state", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 181.3285044705791, + "fos_buckling": 0.745093840978901, + "fos_yielding": 1.5743819713681684, + "deflection": 0.008514455191266148, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": null, + "parent_node_id": null, + "improvement_over_parent": null + }, + "node_3481": { + "node_id": "node_3481", + "content": "MODIFICATION: Add member connecting joints 1 and 4\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (10 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n\nPerformance:\n Mass: 183.77 kg\n Factor of Safety: 0.78\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": 183.7686230654568, + "fos_buckling": 0.7833536511876529, + "fos_yielding": 1.574381971368169, + "deflection": 0.0070545195309155385, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(1, 4, A36_Steel, Pipe, 0.019838, 0.001473)" + }, + "parent_node_id": "node_3480", + "improvement_over_parent": null + }, + "node_3482": { + "node_id": "node_3482", + "content": "MODIFICATION: Add member connecting joints 4 and 5\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0041)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 200.54 kg\n Factor of Safety: 0.97\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": 200.53976227814155, + "fos_buckling": 0.9709207939925415, + "fos_yielding": 1.395012863428335, + "deflection": 0.005965769428426044, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.003247)" + }, + "parent_node_id": "node_3481", + "improvement_over_parent": null + }, + "node_3483": { + "node_id": "node_3483", + "content": "MODIFICATION: Increase 5 thickness by 50%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0038)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0039)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0033)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0026)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0031)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0036)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0035)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0042)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0015)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0032)]\n\nPerformance:\n Mass: 214.06 kg\n Factor of Safety: 1.04\n Max Deflection: 5.63e-03 m\n Status: INFEASIBLE", + "depth": 3, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": false, + "mass": 214.05617542840957, + "fos_buckling": 1.0449842284700057, + "fos_yielding": 1.3928403743067337, + "deflection": 0.0056312790060867495, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(5, thickness, 1.499)" + }, + "parent_node_id": "node_3482", + "improvement_over_parent": null + }, + "node_3484": { + "node_id": "node_3484", + "content": "MODIFICATION: Increase all_members thickness by 30%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0050)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0051)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0044)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0033)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0040)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0080)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0047)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0045)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0055)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0019)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0042)]\n\nPerformance:\n Mass: 273.60 kg\n Factor of Safety: 1.31\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": 273.6000815816441, + "fos_buckling": 1.3146375622502358, + "fos_yielding": 1.7812716980795866, + "deflection": 0.004416735892325854, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.304)" + }, + "parent_node_id": "node_3483", + "improvement_over_parent": null + }, + "node_3485": { + "node_id": "node_3485", + "content": "MODIFICATION: Increase all_members thickness by 15%\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M4: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M5: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0092)]\n M6: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M7: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M8: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n M9: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0022)]\n M10: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n\nPerformance:\n Mass: 310.31 kg\n Factor of Safety: 1.48\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": 310.30607951489196, + "fos_buckling": 1.4760903816532658, + "fos_yielding": 2.0210982050583715, + "deflection": 0.0039001547708863524, + "is_feasible": false, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "SCALE_PARAM(all_members, thickness, 1.149)" + }, + "parent_node_id": "node_3484", + "improvement_over_parent": null + }, + "node_3486": { + "node_id": "node_3486", + "content": "MODIFICATION: Optimal solution\n\nResulting Structure:\nJoints (6 total):\n J0: pos=(0.00, 0.00) [pinned]\n J1: pos=(3.80, 0.00) [free]\n J2: pos=(7.60, 0.00) [roller]\n J3: pos=(0.00, 1.76) [free]\n J4: pos=(3.80, 1.76) [free]\n J5: pos=(7.60, 1.76) [free]\n\nMembers (11 total):\n M0: J0-J1 [A36_Steel, Pipe(r=0.0344, t=0.0057)]\n M1: J1-J2 [A36_Steel, Pipe(r=0.0350, t=0.0058)]\n M2: J3-J4 [A36_Steel, Pipe(r=0.0301, t=0.0050)]\n M3: J4-J5 [A36_Steel, Pipe(r=0.0292, t=0.0049)]\n M4: J0-J3 [A36_Steel, Pipe(r=0.0231, t=0.0038)]\n M5: J1-J4 [A36_Steel, Pipe(r=0.0198, t=0.0033)]\n M6: J2-J5 [A36_Steel, Pipe(r=0.0274, t=0.0046)]\n M7: J0-J4 [A36_Steel, Pipe(r=0.0370, t=0.0062)]\n M8: J1-J3 [A36_Steel, Pipe(r=0.0323, t=0.0054)]\n M9: J1-J5 [A36_Steel, Pipe(r=0.0313, t=0.0052)]\n M10: J2-J4 [A36_Steel, Pipe(r=0.0376, t=0.0063)]\n\nPerformance:\n Mass: 293.23 kg\n Factor of Safety: 1.52\n Max Deflection: 4.04e-03 m\n Status: FEASIBLE", + "depth": 6, + "node_type": "modification_result", + "metadata": null, + "correctness_score": 1.0, + "is_on_solution_path": true, + "mass": 293.2250801848636, + "fos_buckling": 1.5228854124434206, + "fos_yielding": 2.0124409061380586, + "deflection": 0.004040707014545659, + "is_feasible": true, + "joint_positions": null, + "member_dimensions": null, + "modification_action": { + "raw": "OPTIMAL_STATE" + }, + "parent_node_id": "node_3485", + "improvement_over_parent": null + } + }, + "edges": [ + { + "from_node": "node_0", + "to_node": "node_1", + "edge_type": "modification", + "reasoning": "Add member connecting joints 4 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(4, 5, A36_Steel, Pipe, 0.029180, 0.004158)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_1", + "to_node": "node_2", + "edge_type": "modification", + "reasoning": "Add member connecting joints 1 and 5", + "metadata": null, + "grammar_action": "ADD_MEMBER(1, 5, A36_Steel, Pipe, 0.031335, 0.004465)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_2", + "to_node": "node_3", + "edge_type": "modification", + "reasoning": "Increase all_members thickness by 17%", + "metadata": null, + "grammar_action": "SCALE_PARAM(all_members, thickness, 1.170)", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_3", + "to_node": "node_4", + "edge_type": "modification", + "reasoning": "Optimal solution", + "metadata": null, + "grammar_action": "OPTIMAL_STATE", + "action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + }, + { + "from_node": "node_5", + "to_node": "node_6", + "edge_type": "modification", + "reasoning": "Increase 1 thickness by 25%", + "metadata": null, + "grammar_action": "SCALE_PARAM(1, 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"action_type": null, + "target_member": null, + "parameter_name": null, + "old_value": null, + "new_value": null, + "scale_factor": null + } + ] +} \ No newline at end of file